Dynamics of two charged particles in viscous fluid at small Reynolds numbers

Paper

Stepanyants, Y. A. and Strunin, D. V.. 2011. "Dynamics of two charged particles in viscous fluid at small Reynolds numbers." de Oliveira, Cassiano (ed.) 2011 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Enginnering (MC 2011). Rio de Janeiro, Brazil 08 - 12 May 2011 Rio de Janeiro.

Paper/Presentation Title	Dynamics of two charged particles in viscous fluid at small Reynolds numbers
Presentation Type	Paper
Authors	Stepanyants, Y. A. (Author) and Strunin, D. V. (Author)
Editors	de Oliveira, Cassiano
Journal or Proceedings Title	Proceedings of the 2011 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (MC 2011)
Number of Pages	10
Year	2011
Place of Publication	Rio de Janeiro
ISBN	9788563688002
Web Address (URL) of Paper	http://www.mc2011.org/
Conference/Event	2011 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Enginnering (MC 2011)
Event Details	2011 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Enginnering (MC 2011) Event Date 08 to end of 12 May 2011 Event Location Rio de Janeiro, Brazil
Abstract	In cooling systems of open-pool nuclear reactors contaminant particles and radionuclides move and interact with each other in the cooling fluid (e.g., water). Because of ionising radiation produced by the reactor, the particles may acquire electric charges. We study the interaction of two charged solid particles in viscous fluid. It is assumed that the particles move side by side under the influence of the buoyancy/gravity force, Coulomb electric force, and viscous drag force. The drag force consists of two components: the quasi-stationary Stokes drag force and Boussinesq–Basset drag force resulting from the unsteady motion. Governing equations are analysed analytically and numerically for an ideal-fluid approximation and then for the viscous fluid case.
Keywords	particles; viscous fluid; charge; drag force
ANZSRC Field of Research 2020	401207. Fundamental and theoretical fluid dynamics
	401906. Nuclear engineering (incl. fuel enrichment and waste processing and storage)
	510799. Particle and high energy physics not elsewhere classified
Public Notes	Published in CD-ROM. No evidence of copyright restrictions.
Byline Affiliations	Department of Mathematics and Computing
Institution of Origin	University of Southern Queensland

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Formation of wave packets in the Ostrovsky equation for both normal and anomalous dispersion

Grimshaw, Roger, Stepanyants, Yury and Alias, Azwani. 2016. "Formation of wave packets in the Ostrovsky equation for both normal and anomalous dispersion." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 472 (2185), pp. 1-20. https://doi.org/10.1098/rspa.2015.0416

Transformation of surface and internal waves on a bottom step

Kurkin, Andrey, Semin, Sergey and Stepanyants, Yury. 2015. "Transformation of surface and internal waves on a bottom step." Fundamental and Applied Hydrophysics (in Russian). 8 (3), pp. 3-19.

Modulational stability of weakly nonlinear wave-trains in media with small- and large-scale dispersions

Nikitenkova, S., Singh, N. and Stepanyants, Y.. 2015. "Modulational stability of weakly nonlinear wave-trains in media with small- and large-scale dispersions." Chaos: an interdisciplinary journal of nonlinear science. 25 (12), pp. 123113-1. https://doi.org/10.1063/1.4937362

Transient free surface flow past a two-dimensional flat stern

Ogilat, Osama and Stepanyants, Yury. 2015. "Transient free surface flow past a two-dimensional flat stern." Discontinuity, Nonlinearity and Complexity. 4 (3), pp. 353-369. https://doi.org/10.5890/DNC.2015.09.010

The Bernoulli integral for a certain class of non-stationary viscous vortical flows of incompressible fluid

Stepanyants, Y. A. and Yakubovich, E. I.. 2015. "The Bernoulli integral for a certain class of non-stationary viscous vortical flows of incompressible fluid." Studies in Applied Mathematics. 135 (3), pp. 295-309. https://doi.org/10.1111/sapm.12087

Transformation of waves over a bottom step

Kurkin, Andrey, Semin, Sergey and Stepanyants, Yury. 2015. Transformation of waves over a bottom step. Nizhny Novgorod (Russia). Nizhny Novgorod State Technical University.

Transformation of surface waves over a bottom step

Kurkin, A. A., Semin, S. V. and Stepanyants, Yu A.. 2015. "Transformation of surface waves over a bottom step." Russian Academy of Sciences, Izvestiya: Atmospheric and Oceanic Physics. 51 (2), pp. 214-223. https://doi.org/10.1134/S0001433815020097

Modeling of transformation of surface wave packets interacting with abrupt bottom change

Brovchenko, Igor, Maderich, Vladimir, Semin, Sergey, Stepanyants, Yury and Terletska, Kateryna. 2015. "Modeling of transformation of surface wave packets interacting with abrupt bottom change." Applied Hydromechanics. 17 (1), pp. 3-9.

Dynamics of two charged particles in a creeping flow

Hassan, H. K. and Stepanyants, Y. A.. 2015. "Dynamics of two charged particles in a creeping flow." Journal of Physical Mathematics. 6 (2). https://doi.org/10.4172/2090-0902.1000145

Beyond the KdV: post-explosion development

Ostrovsky, L., Pelinovsky, E., Shrira, V. and Stepanyants, Y.. 2015. "Beyond the KdV: post-explosion development." Chaos: an interdisciplinary journal of nonlinear science. 25 (9), pp. 1-13. https://doi.org/10.1063/1.4927448

Range of validity and intermittent dynamics of the phase of oscillators with nonlinear self-excitation

Strunin, D. V. and Mohammed, M. G.. 2015. "Range of validity and intermittent dynamics of the phase of oscillators with nonlinear self-excitation." Communications in Nonlinear Science and Numerical Simulation. 29 (1-3), pp. 128-147. https://doi.org/10.1016/j.cnsns.2015.04.024

On dissipative nature of elastic waves

Strunin, D. V.. 2014. "On dissipative nature of elastic waves." Journal of Coupled Systems and Multiscale Dynamics. 2 (2), pp. 70-73. https://doi.org/10.1166/jcsmd.2014.1045

Higher-order approximation of contaminant transport equation for turbulent channel flows based on centre manifolds and its numerical solution

Ngo-Cong, D., Mohammed, F. J., Strunin, D. V., Skvortsov, A. T., Mai-Duy, N. and Tran-Cong, T.. 2015. "Higher-order approximation of contaminant transport equation for turbulent channel flows based on centre manifolds and its numerical solution." Journal of Hydrology. 525, pp. 87-101. https://doi.org/10.1016/j.jhydrol.2015.03.038

Soliton-like thermoelastic waves

Strunin, Dmitry and Melnik, Roderick. 2014. "Soliton-like thermoelastic waves ." Hetnarski, Richard B. (ed.) Encyclopedia of thermal stresses. Dordrecht, Netherlands. Springer. pp. 4433-4438

Finite-difference approach for a 6th-order nonlinear phase equation with self-excitation

Mohammed, Mayada and Strunin, Dmitry. 2014. "Finite-difference approach for a 6th-order nonlinear phase equation with self-excitation." Nagamiya, Shoji and Motobayashi, Tohru (ed.) 12th Asia Pacific Physics Conference 2013. Makuhari, Japan 14 - 19 Jul 2013 Makuhari, Japan.

Generalized Korteweg–de Vries equation for internal waves in two-layer fluid

Giniyatullin, A. R., Kurkin, A. A., Kurkina, O. E. and Stepanyants, Y. A.. 2014. "Generalized Korteweg–de Vries equation for internal waves in two-layer fluid." Fundamental and Applied Hydrophysics (in Russian). 7 (4), pp. 16-28.

Transformation of internal waves passing over a bottom step

Churaev, Egor N., Semin, Sergey V. and Stepanyants, Yuri A.. 2015. "Transformation of internal waves passing over a bottom step." Journal of Fluid Mechanics. 768, pp. R3-1. https://doi.org/10.1017/jfm.2015.92

Asymptotics of averaged turbulent transfer in canopy flows

Mohammed, F. J., Strunin, D. V., Ngo-Cong, D. and Tran-Cong, T.. 2015. "Asymptotics of averaged turbulent transfer in canopy flows." Journal of Engineering Mathematics. 91 (1), pp. 81-104. https://doi.org/10.1007/s10665-014-9737-y

Structure of internal solitary waves in two-layer fluid at near-critical situation

Kurkina, O., Singh, N. and Stepanyants, Y.. 2015. "Structure of internal solitary waves in two-layer fluid at near-critical situation." Communications in Nonlinear Science and Numerical Simulation. 22 (1-3), pp. 1235-1242. https://doi.org/10.1016/j.cnsns.2014.09.018

Dispersion properties of waves on a surface of viscous fluid covered by an elastic film

Averbukh, E. L., Kurkin, A. A., Stepanyants, Y. A. and Talipova, T. G.. 2014. "Dispersion properties of waves on a surface of viscous fluid covered by an elastic film." Fluid Dynamics. 49 (6), pp. 796-803. https://doi.org/10.1134/S0015462814060118

Transformation of narrowband wavetrains of surface gravity waves passing over a bottom step

Giniyatullin, A. R., Kurkin, A. A., Semin, S. V. and Stepanyants, Y. A.. 2014. "Transformation of narrowband wavetrains of surface gravity waves passing over a bottom step." Mathematical Modelling of Natural Phenomena (MMNP). 9 (5), pp. 73-82. https://doi.org/10.1051/mmnp/20149505

On stationary solutions of the reduced Gardner–Ostrovsky equation

Obregon, Maria and Stepanyants, Yury. 2014. "On stationary solutions of the reduced Gardner–Ostrovsky equation." Discontinuity, Nonlinearity and Complexity. 3 (4), pp. 445-456. https://doi.org/10.5890/DNC.2014.12.007

Nonlinear vector waves of a flexural mode in a chain model of atomic particles

Nikitenkova, S. P., Raj, N. and Stepanyants, Y. A.. 2015. "Nonlinear vector waves of a flexural mode in a chain model of atomic particles." Communications in Nonlinear Science and Numerical Simulation. 20 (3), pp. 731-742. https://doi.org/10.1016/j.cnsns.2014.05.031

Interaction of gaseous bubbles under the action of radiation modified Bjerknes force

Stepanyants, Yury and Yeoh, Guan. 2008. "Interaction of gaseous bubbles under the action of radiation modified Bjerknes force." 22nd International Congress of Theoretical and Applied Mechanics (IC-TAM2008). Adelaide, Australia 24 - 29 Aug 2008

Modelling dispersion in laminar and turbulent flows in an open channel based on centre manifolds using 1D-IRBFN method

Mohammed, F. J., Ngo-Cong, D., Strunin, D. V., Mai-Duy, N. and Tran-Cong, T.. 2014. "Modelling dispersion in laminar and turbulent flows in an open channel based on centre manifolds using 1D-IRBFN method." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 38 (14), pp. 3672-3691. https://doi.org/10.1016/j.apm.2013.12.007

Validity and dynamics in the nonlinearly excited 6th-order phase equation

Strunin, Dimitry and Mohammed, Mayada. 2013. "Validity and dynamics in the nonlinearly excited 6th-order phase equation." Costa, David, Feng, Wei and Feng, Zhaosheng (ed.) 9th American Institute of Mathematical Sciences International Conference on Dynamical Systems, Differential Equations and Applications (AIMS 2013). Orlando, United States 01 - 05 Jul 2012 Springfield, MO. United States.

Recent results on the problem of wave-current interaction including water depth, surface tension/amplitude and vorticity effects

Maissa, Philippe, Rousseaux, Germain and Stepanyants, Yury. 2013. "Recent results on the problem of wave-current interaction including water depth, surface tension/amplitude and vorticity effects." 7th International Conference on Coastal Dynamics. Arcachon, France 24 - 28 Jun 2013 Arcachon, France.

Nonlinear spectra of shallow water waves

Giovanangeli, J. -P., Kharif, C., Raj, N. and Stepanyants, Y.. 2013. "Nonlinear spectra of shallow water waves." Oceans - San Diego, 2013. San Diego, United States 23 - 26 Sep 2013 United States. IEEE (Institute of Electrical and Electronics Engineers). https://doi.org/10.23919/OCEANS.2013.6741132

Numerical study of nonlinear wave processes by means of discrete chain models

Obregon, M., Raj, N. and Stepanyants, Y.. 2012. "Numerical study of nonlinear wave processes by means of discrete chain models." Gu, Y. T. and Saha, Suvash C. (ed.) 4th International Conference on Computational Methods (ICCM 2012). Gold Coast, Australia 25 - 28 Nov 2012 Brisbane, Australia.

Numerical analysis of an averaged model of turbulent transport near a roughness layer

Strunin, D. V. and Mohammed, F. J.. 2012. "Numerical analysis of an averaged model of turbulent transport near a roughness layer." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 53 (S), pp. C142-C154.

Parametric space for nonlinearly excited phase equation

Strunin, D. V. and Mohammed, M. G.. 2012. "Parametric space for nonlinearly excited phase equation." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 53 (S), pp. C236-C248.

The role of natural gases in seismics of hydrocarbon reservoirs

Nikolaevskiy, Victor and Strunin, Dmitry. 2012. "The role of natural gases in seismics of hydrocarbon reservoirs." Laverov, N. P., Beresnev, Igor and Gray, Rob (ed.) 3rd International Conference Elastic Wave Effect on Fluid in Porous Media (EWEF 2012). Moscow, Russia 24 - 28 Sep 2012 Moscow, Russia.

On numerical solution of the Gardner Ostrovsky equation

Obregon, M. A. and Stepanyants, Y. A.. 2012. "On numerical solution of the Gardner Ostrovsky equation." Mathematical Modelling of Natural Phenomena (MMNP). 7 (2), pp. 113-130. https://doi.org/10.1051/mmnp/20127210

Stationary gravity waves with the zero mean vorticity in stratified fluid

Clamond, D. and Stepanyants, Y.. 2012. "Stationary gravity waves with the zero mean vorticity in stratified fluid." Studies in Applied Mathematics. 128 (1), pp. 59-85. https://doi.org/10.1111/j.1467-9590.2011.00530.x

Measuring rate of change of oxygen concentration and intrinsic oxidation rate in a pile of material

Bennett, John, Stepanyants, Yury and Ritchie, Ian. 2004. Measuring rate of change of oxygen concentration and intrinsic oxidation rate in a pile of material. WO 2004/072636 A1

Internal solitons in laboratory experiments: Comparison with theoretical models

Ostrovsky, L A. and Stepanyants, Y. A.. 2005. "Internal solitons in laboratory experiments: Comparison with theoretical models." Chaos: an interdisciplinary journal of nonlinear science. 15. https://doi.org/10.1063/1.2107087

Measurement of hydraulic conductivity using a radioactive or activatable tracer

Waring, Christopher Leslie, Airey, Peter Lewis and Stepanyants, Yury A.. 2007. Measurement of hydraulic conductivity using a radioactive or activatable tracer. AU2007231556

Measurement of hydraulic conductivity, porosity and lithology by neutron activation borehole logging at high spatial resolution increments

Waring, C. L., Stepanyants, Y. A., Hankin, S. I., Airey, P. L. and Peterson, M. A.. 2009. "Measurement of hydraulic conductivity, porosity and lithology by neutron activation borehole logging at high spatial resolution increments." Milne-Home, William A. (ed.) IAH Groundwater in The Sydney Basin Symposium (2009). Sydney, Australia 04 - 05 Aug 2009 Sydney, NSW, Australia.

Internal solitons in the ocean and their effect on underwater sound

Apel, John R., Ostrovsky, Lev A., Stepanyants, Yury A. and Lynch, James F.. 2007. "Internal solitons in the ocean and their effect on underwater sound." The Journal of the Acoustical Society of America. 121 (2), pp. 695-722. https://doi.org/10.1121/1.2395914

Transition to self-similarity of diffusion of tracer in turbulent patch

Strunin, Dmitry V.. 2001. "Transition to self-similarity of diffusion of tracer in turbulent patch." Journal of Engineering Mechanics. 127 (11), pp. 1089-1095. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:11(1089)

Similarity without diffusion: shear turbulent layer damped by buoyancy

Strunin, D. V.. 2006. "Similarity without diffusion: shear turbulent layer damped by buoyancy." Journal of Engineering Mathematics. 54 (3), pp. 211-224. https://doi.org/10.1007/s10665-005-9010-5

On characteristic times in generalized thermoelasticity

Strunin, Dmitry V.. 2001. "On characteristic times in generalized thermoelasticity." Journal of Applied Mechanics. 68 (5), pp. 816-817. https://doi.org/10.1115/1.1386696

Two-zone model of shear dispersion in a channel using centre manifolds

Roberts, A. J. and Strunin, Dmitry V.. 2004. "Two-zone model of shear dispersion in a channel using centre manifolds." The Quarterly Journal of Mechanics and Applied Mathematics. 57 (3), pp. 363-378. https://doi.org/10.1093/qjmam/57.3.363

Modelling the confinement of spilled oil with floating booms

Zhu, Song Ping and Strunin, Dmitry V.. 2001. "Modelling the confinement of spilled oil with floating booms." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 25 (9), pp. 713-729. https://doi.org/10.1016/S0307-904X(01)00008-7

Influence of bottom boundary conditions for temperature on the heat distribution within oxidising heaps

Crawford, Jagoda and Stepanyants, Yury. 2005. "Influence of bottom boundary conditions for temperature on the heat distribution within oxidising heaps." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 46, pp. C1104-C1125.

Propagation of waves in shear flows

Fabrikant, Anatoly and Stepanyants, Yury. 1998. Propagation of waves in shear flows. Singapore. World Scientific Publishing.

Dispersion of long gravity-capillary surface waves and asymptotic equations for solitons

Stepanyants, Yury. 2005. "Dispersion of long gravity-capillary surface waves and asymptotic equations for solitons." Proceedings of the Russian Academy of Engineering Sciences Series: Applied Mathematics and Mechanics. 14, pp. 33-40.

Scalar description of three-dimensional vortex flows of incompressible fluid

Stepanyants, Yu. A. and Yakubovich, Evsey. 2011. "Scalar description of three-dimensional vortex flows of incompressible fluid." Doklady Physics. 56 (2), pp. 130-133. https://doi.org/10.1134/S1028335811020169

A model of turbulent dispersion through roughness layer using centre manifolds

Strunin, Dmitry V.. 2011. "A model of turbulent dispersion through roughness layer using centre manifolds." Massengill, H. P. (ed.) 6th AIAA Theoretical Fluid Mechanics Conference. Honolulu, United States 27 - 30 Jun 2011 Red Hook, NY. United States.

Universality of turbulent dispersion in a steady flow in an open channel

Strunin, D. V.. 2011. "Universality of turbulent dispersion in a steady flow in an open channel." The Quarterly Journal of Mechanics and Applied Mathematics. 64 (2), pp. 197-214. https://doi.org/10.1093/qjmam/hbr002

The inverse problem for the Gross-Pitaevskii equation

Malomed, Boris A. and Stepanyants, Yury A.. 2010. "The inverse problem for the Gross-Pitaevskii equation." Chaos: an interdisciplinary journal of nonlinear science. 20 (1). https://doi.org/10.1063/1.3367776

An averaged model of dispersion of pollutant in a channel: logarithmic flow

Strunin, Dmitry V.. 2010. "An averaged model of dispersion of pollutant in a channel: logarithmic flow." Hangos, K. (ed.) 29th IASTED International Conference on Modelling, Identification and Control (MIC 2010). Innsbruck, Austria 15 - 17 Feb 2010 Calgary, Canada.

Nanoparticle dynamics in a viscous fluid at small Reynolds numbers

Stepanyants, Yury A. and Yeoh, Guan H.. 2010. "Nanoparticle dynamics in a viscous fluid at small Reynolds numbers." Teh, Kian, Davies, Ian and Howard, Ian (ed.) 6th Australasian Congress on Applied Mechanics (ACAM 6). Perth, Western Australia 12 - 15 Dec 2010 Perth, Australia.

Localised nonlinear optical modes and the corresponding support structures: exact solutions to the nonlinear Schrodinger equation with external potentials

Malomed, B. A. and Stepanyants, Y. A.. 2010. "Localised nonlinear optical modes and the corresponding support structures: exact solutions to the nonlinear Schrodinger equation with external potentials." ICEAA 2010: International Conference on Electromagnetics in Advanced Applications. Sydney, Australia 20 - 24 Sep 2010 Sydney, Australia. https://doi.org/10.1109/ICEAA.2010.5651681

Lump solutions of 2D generalized Gardner equation

Stepanyants, Y. A., Ten, I. K. and Tomita, H.. 2006. "Lump solutions of 2D generalized Gardner equation." Luo, Albert C. J., Dai, Liming and Hamidzadeh, Hamid R. (ed.) Conference on Nonlinear Science and Complexity (2006). Beijing, China 07 - 12 Aug 2006 Singapore.

Internal solitons in the ocean

Apel, John R., Ostrovsky, Lev A., Stepanyants, Yury A. and Lynch, James F.. 2006. Internal solitons in the ocean. Woods Hole, MA. United States. Woods Hole Oceanographic Institution.

A new case of truncated phase equation for coupled oscillators

Strunin, Dmitry V.. 2009. "A new case of truncated phase equation for coupled oscillators ." Yahya, Abu Hasan (ed.) 5th Asian Mathematical Conference (AMC2009). Kuala Lumpur, Malaysia 22 - 26 Jun 2009 Kuala-Lumpur, Malaysia.

Modelling turbulent flow from dam break using slow manifolds

Georgiev, D. J., Roberts, A. J. and Strunin, D. V.. 2009. "Modelling turbulent flow from dam break using slow manifolds ." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 50 (S), pp. C1033-C1051.

Tsunami surge in a river: a hydraulic jump in an inhomogeneous channel

Caputo, Jean-Guy and Stepanyants, Y. A.. 2007. "Tsunami surge in a river: a hydraulic jump in an inhomogeneous channel." Kundu, Anjan (ed.) Tsunami and nonlinear waves. Berlin, Germany. Springer. pp. 97-112

Effect of canine hyperimmune plasma on TNFa and inflammatory cell levels in a lipopolysaccharide-mediated rat air pouch model of inflammation

Strunin, Dmitry, Essien, Bryan, Kotiw, Michael and Butler, Harry. 2009. "Effect of canine hyperimmune plasma on TNFa and inflammatory cell levels in a lipopolysaccharide-mediated rat air pouch model of inflammation." Reinhart, Konrad (ed.) Sepsis 2009: Critical Care Conference. Amsterdam, Netherlands 11 - 14 Nov 2009 https://doi.org/10.1186/cc8064

Solutions classification to the extended reduced Ostrovsky equation

Stepanyants, Yury A.. 2008. "Solutions classification to the extended reduced Ostrovsky equation." Symmetry, Integrability and Geometry: Methods and Applications. 4. https://doi.org/10.3842/SIGMA.2008.073

Mechanisms of particle transport acceleration in porous media

Panfilov, M., Panfilova, I. and Stepanyants, Y.. 2008. "Mechanisms of particle transport acceleration in porous media." Transport in Porous Media. 74 (1), pp. 49-71. https://doi.org/10.1007/s11242-007-9201-9

Particle and bubble dynamics in a creeping flow

Stepanyants, Yury and Yeoh, Guan. 2009. "Particle and bubble dynamics in a creeping flow." European Journal of Mechanics B: Fluids. 28 (5), pp. 619-629. https://doi.org/10.1016/j.euromechflu.2009.04.004

On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons

Stepanyants, Yury. 2006. "On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons." Chaos, Solitons and Fractals. 28 (1), pp. 193-204. https://doi.org/10.1016/j.chaos.2005.05.020

The motion of a cylindrical body in a stratified fluid under the action of a radiation force

Kozyrev, O. R., Reznik, S. N. and Stepanyants, Yu. A.. 2009. "The motion of a cylindrical body in a stratified fluid under the action of a radiation force." Journal of Applied Mathematics and Mechanics. 73 (2), pp. 188-195. https://doi.org/10.1016/j.jappmathmech.2009.04.008

Front solutions of Richards' equation

Caputo, Jean-Guy and Stepanyants, Yury. 2008. "Front solutions of Richards' equation." Transport in Porous Media. 74 (1), pp. 1-20. https://doi.org/10.1007/s11242-007-9180-x

Phase equation with nonlinear excitation for nonlocally coupled oscillators

Strunin, D. V.. 2009. "Phase equation with nonlinear excitation for nonlocally coupled oscillators." Physica D: Nonlinear Phenomena. 238 (18), pp. 1909-1916. https://doi.org/10.1016/j.physd.2009.06.022

Low-dimensional boundary-layer model of turbulent dispersion in a channel

Strunin, Dmitry V. and Roberts, Anthony J.. 2009. "Low-dimensional boundary-layer model of turbulent dispersion in a channel." Ao, S. I., Gelman, Len, Hukins, David W. L., Hunter, Andrew and Korsunsky, A. M. (ed.) WCE 2009: World Congress of Engineering . London, United Kingdom 01 - 03 Jul 2009 London, UK.

Fluid flow between active elastic plates

Strunin, D. V.. 2009. "Fluid flow between active elastic plates." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 50 (S), pp. C871-C883.

Two-dimensional particle solution of the extended Hamilton-Jacobi equation

Strunin, D. V.. 2008. "Two-dimensional particle solution of the extended Hamilton-Jacobi equation." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 50 (August), pp. C282-C291.

Burgers-Rott vortices with surface tension

Stepanyants, Yury A. and Yeoh, Guan H.. 2008. "Burgers-Rott vortices with surface tension." Zeitschrift fuer Angewandte Mathematik und Physik. 59 (6), pp. 1057-1068. https://doi.org/10.1007/s00033-008-7071-9

Stationary bathtub vortices and a critical regime of liquid discharge

Stepanyants, Yury and Yeoh, Guan. 2008. "Stationary bathtub vortices and a critical regime of liquid discharge." Journal of Fluid Mechanics. 604 (1), pp. 77-98. https://doi.org/10.1017/S0022112008001080

Modelling internal solitary waves on the Australian North West Shelf

Grimshaw, Roger, Pelinovsky, Efim, Stepanyants, Yury and Talipova, Tatiana. 2006. "Modelling internal solitary waves on the Australian North West Shelf." Marine and Freshwater Research. 57 (3), pp. 265-272. https://doi.org/10.1071/MF05016

A mathematical model to account for quantitative iterative effect of TNF-α positive feedback mechanism on inflammatory cascade in TLR-4 mediated TNF-α signaling pathway

Roberts, Tony, Essien, Bryan, Kotiw, Michael, Butler, Harry and Strunin, Dmitry. 2008. "A mathematical model to account for quantitative iterative effect of TNF-α positive feedback mechanism on inflammatory cascade in TLR-4 mediated TNF-α signaling pathway." Ragan, Mark (ed.) 19th International Conference on Genome Informatics (GIW 2008). Gold Coast, Australia 01 - 03 Dec 2008 London, United Kingdom.

Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet

Strunin, D. V.. 2008. "Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet." Bulletin of the Belgian Mathematical Society: Simon Stevin. 15 (5), pp. 935-946.

Phenomenological approach to 3D spinning combustion waves: numerical experiments with a rectangular rod

Strunin, Dmitry V. and Suslov, Sergey A.. 2005. "Phenomenological approach to 3D spinning combustion waves: numerical experiments with a rectangular rod." International Journal of Self Propagating High Temperature Synthesis. 14 (1), pp. 33-39.

Universal regimes of a free turbulent jet

Strunin, D. V.. 2007. "Universal regimes of a free turbulent jet." Jacobs, Peter A., McIntyre, Tim, Cleary, Matthew J., Buttsworth, David R., Mee, David, Clements, Rose, Morgan, Richard and Lemckert, Charles (ed.) 16th Australasian Fluid Mechanics Conference (AFMC 2007). Gold Coast, Australia 03 - 07 Dec 2007 Brisbane, Australia.

Attractors in confined source problems for coupled nonlinear diffusion

Strunin, Dmitry V.. 2007. "Attractors in confined source problems for coupled nonlinear diffusion." SIAM Journal on Applied Mathematics. 67 (6), pp. 1654-1674. https://doi.org/10.1137/060657923

A numerical model for the confinement of oil spill with floating booms

Zhu, SongPing and Strunin, Dmitry V.. 2002. "A numerical model for the confinement of oil spill with floating booms." Spill Science and Technology Bulletin. 7 (5-6), pp. 249-255. https://doi.org/10.1016/S1353-2561(02)00042-7

Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model

Georgiev, Dian J., Roberts, A. J. and Strunin, Dmitry V.. 2007. "Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model." Discrete and Continuous Dynamical Systems Series A.

The dynamics of the vertical structure of turbulence in flood flows

Georgiev, D. J., Roberts, A. J. and Strunin, D. V.. 2007. "The dynamics of the vertical structure of turbulence in flood flows." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 48, pp. C573-C590. https://doi.org/10.0000/anziamj.v48i0.124

Models encompassing hydraulic jumps in radial flows over a horizontal plate

Strunin, Dmitry and Roberts, Tony. 2001. "Models encompassing hydraulic jumps in radial flows over a horizontal plate." Kluev, Vitaly and Mastorakis, Nikos (ed.) 2nd WSEAS Multiconference on Applied and Theoretical Mathematics (WSEAS 2001). Cairns, Australia 17 - 23 Dec 2001 Greece.

Coupled thermomechanical waves in hyperbolic thermoelasticity

Strunin, D. V., Melnik, R. V. N. and Roberts, A. J.. 2001. "Coupled thermomechanical waves in hyperbolic thermoelasticity." Journal of Thermal Stresses. 24 (2), pp. 121-140. https://doi.org/10.1080/01495730150500433

Nonlinear instability in generalized nonlinear phase diffusion equation

Strunin, Dmitry V.. 2003. "Nonlinear instability in generalized nonlinear phase diffusion equation." Progress of Theoretical Physics Supplement.

Attractors and centre manifolds in nonlinear diffusion

Strunin, Dmitry V.. 2005. "Attractors and centre manifolds in nonlinear diffusion." 2nd International Conference on Scientific Computing and Partial Differential Equations & The First East Asian SIAM Symposium. Hong Kong, China 12 - 16 Dec 2005 Hong Kong.

Nonlinear analysis of rubber-based polymeric materials with thermal relaxation models

Melnik, R. V. N., Strunin, D. V. and Roberts, A. J.. 2005. "Nonlinear analysis of rubber-based polymeric materials with thermal relaxation models." Numerical Heat Transfer Part A: Applications. 47 (6), pp. 549-569. https://doi.org/10.1080/10407780590891236

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