Edit Profile (opens in new tab) Nepomnyashchy, Alexander A. Co-Author Distance Author ID: nepomnyashchy.alexander-a Published as: Nepomnyashchy, A. A.; Nepomnyashchy, Alexander A.; Nepomnyashchy, Alexander; Nepomnyashchij, A. A.; Nepomnyashchy, A.; Nepomnhyashchy, Alexander A.; Nepomnyashchy, Alexandre A.; Nepomnyashchy, Alex A.; Nepomnyashchiy, A. A.; Nepomnyaschiy, A. A.; Nepomnyashchiy, A.; Nepomnyashchy, A A; Nepomniaschy, A. more...less External Links: MGP · Wikidata · Math-Net.Ru Documents Indexed: 157 Publications since 1974, including 8 Books 1 Contribution as Editor Co-Authors: 77 Co-Authors with 147 Joint Publications 1,551 Co-Co-Authors all top 5 Co-Authors 8 single-authored 40 Simanovskii, Ilya B. 21 Golovin, Alexander A. 13 Oron, Alexander 9 Shklyaev, Sergey V. 8 Nec, Yana 8 Podolny, Alla 7 Braverman, Leonid M. 7 Volpert, Vladimir A. 6 Kanevsky, Yuliya 6 Legros, Jean-Claude 5 Savina, Tatiana V. 5 Velarde, Manuel G. 4 Bayliss, Alvin 4 Matkowsky, Bernard J. 4 Rotstein, Horacio G. 4 Samoilova, Anna E. 4 Shevtsova, Valentina M. 4 Zaks, Michael A. 3 Abu Hamed, M. 3 Bar, Doron E. 3 Hamed, Mohammad Abu 3 Levina, Galina Vladimirovna 3 Mikishev, Alexander B. 3 Thess, André 3 Vozovoj, L. P. 2 Belozerova, Tatyana 2 Boeck, Thomas 2 Colinet, Pierre 2 Davis, Stephen Howard 2 Domoshnitsky, Alexander I. 2 Dubois, Frank 2 Fayzrakhmanova, Irina S. 2 Gaponenko, Yu. A. 2 Géoris, Ph. 2 Gershuni, G. Z. 2 Henner, Victor 2 Myznikova, Bela I. 2 Nuz, A. E. 2 Smorodin, Boris L. 2 Viviani, Antonio 1 Akinyemi, Lanre 1 Brandon, Simon 1 Chertkova, E. A. 1 Frolovskaya, Oksana A. 1 Glasman, E. A. 1 Gubareva, V. F. 1 Hari, Amos A. 1 Hennenberg, Marcel 1 Kats-Demyanets, V. 1 Kazaryan, V. A. 1 Khazan, Y. S. 1 Khenner, Mikhail 1 Kiselev, N. P. 1 Kliakhandler, Igor L. 1 Kurdyumov, Vadim N. 1 Kuznetsov, Evgeniĭ Aleksandrovich 1 Malaikah, K. 1 Malomed, Boris A. 1 Mialdun, Aliaksandr 1 Novick-Cohen, Amy 1 Panfilov, Vadim 1 Pickalov, Valery V. 1 Pikovsky, Arkady S. 1 Pozdeev, A. A. 1 Rednikov, A. E. 1 Rubinshtein, B. 1 Rubinstein, Boris Y. 1 Ryazantsev, Yuri S. 1 Shklyaev, Oleg E. 1 Smagin, Irina 1 Stanton, L. G. 1 Tarunin, E. L. 1 Volpert, Vitaly A. 1 Wertgejm, I. I. 1 Yasnou, V. 1 Zapryagaev, V. I. 1 Zhukhovitsky, E. M. all top 5 Serials 32 Physica D 22 Physics of Fluids 16 Journal of Fluid Mechanics 8 SIAM Journal on Applied Mathematics 8 Mathematical Modelling of Natural Phenomena 6 Fluid Dynamics 6 Journal of Physics A: Mathematical and Theoretical 5 Journal of Applied Mathematics and Mechanics 4 European Journal of Mechanics. B. Fluids 3 Soviet Physics. Doklady 2 Physics Letters. A 2 Physics of Fluids, A 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 FDMP. Fluid Dynamics & Materials Processing 1 International Journal of Multiphase Flow 1 Journal of Mathematical Biology 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Theoretical and Computational Fluid Dynamics 1 Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza 1 Acta Applicandae Mathematicae 1 European Journal of Mechanics. B. Fluids 1 European Journal of Applied Mathematics 1 Fluid Mechanics. Soviet Research 1 Journal of Non-Equilibrium Thermodynamics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Discrete and Continuous Dynamical Systems 1 Functional Differential Equations 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Physical Review E. Third Series 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Applied Mathematical Sciences 1 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics 1 NATO Science Series II: Mathematics, Physics and Chemistry 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Advances in Mathematical Fluid Mechanics 1 Springer Monographs in Mathematics 1 Textbooks in Mathematics all top 5 Fields 107 Fluid mechanics (76-XX) 49 Partial differential equations (35-XX) 40 Classical thermodynamics, heat transfer (80-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Mechanics of deformable solids (74-XX) 11 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Numerical analysis (65-XX) 4 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 3 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 116 Publications have been cited 892 times in 538 Documents Cited by ▼ Year ▼ Interfacial phenomena and convection. Zbl 0988.76004 Nepomnyashchy, Alexander A.; Velarde, Manuel G.; Colinet, Pierre 42 2002 Stability of convective flows. (Ustojchivost’ konvektivnykh techenij.) Zbl 0718.76044 Gershuni, G. Z.; Zhukhovitskij, E. M.; Nepomnyashchij, A. A. 34 1989 A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth. Zbl 0952.74050 Golovin, A. A.; Davis, S. H.; Nepomnyashchy, A. A. 33 1998 Interfacial convection in multilayer systems. Zbl 1100.76002 Nepomnyashchy, A.; Simanovskii, I.; Legros, J. C. 31 2006 Front-type solutions of fractional Allen-Cahn equation. Zbl 1160.35442 Nec, Y.; Nepomnyashchy, A. A.; Golovin, A. A. 28 2008 Fronts in anomalous diffusion-reaction systems. Zbl 1353.35181 Volpert, V. A.; Nec, Y.; Nepomnyashchy, A. A. 26 2013 A convective instabilities in systems with interface. Zbl 0956.76500 Simanovskii, Ilya B.; Nepomnyashchy, Alexandre A. 26 1993 A three-dimensional description of solitary waves and their interaction in Marangoni-Bénard layers. Zbl 0826.76020 Nepomnyashchy, Alexander A.; Velarde, Manuel G. 23 1994 Exact solutions in front propagation problems with superdiffusion. Zbl 1190.35051 Volpert, V. A.; Nec, Y.; Nepomnyashchy, A. A. 22 2010 Pattern formation in large-scale Marangoni convection with deformable interface. Zbl 0899.76164 Golovin, A. A.; Nepomnyashchy, A. A.; Pismen, L. M. 20 1995 Phase field equations with memory: The hyperbolic case. Zbl 0990.80007 Rotstein, Horacio G.; Brandon, Simon; Novick-Cohen, Amy; Nepomnyashchy, Alexander 19 2001 On stability of secondary flows of a viscous fluid in unbounded space. Zbl 0364.76037 Nepomnyashchij, A. A. 19 1976 Interaction between short-scale Marangoni convection and long-scale deformational instability. Zbl 0826.76027 Golovin, A. A.; Nepomnyashchy, A. A.; Pismen, L. M. 17 1994 Stability of periodic waves governed by the modified Kawahara equation. Zbl 0847.35059 Bar, Doron E.; Nepomnyashchy, Alexander A. 17 1995 Long-wave marangoni instability in a binary-liquid layer with deformable interface in the presence of soret effect: linear theory. Zbl 1188.76123 Podolny, A.; Oron, A.; Nepomnyashchy, A. A. 17 2005 Marangoni instability in ultrathin two-layer films. Zbl 1182.76557 Nepomnyashchy, A. A.; Simanovskii, I. B. 15 2007 Nonlinear evolution and secondary instabilities of Marangoni convection in a liquid-gas system with deformable interface. Zbl 0897.76030 Golovin, A. A.; Nepomnyashchy, A. A.; Pismen, L. M. 14 1997 Thermocapillary flows under an inclined temperature gradient. Zbl 1116.76352 Shklyaev, Oleg E.; Nepomnyashchy, Alexander A. 13 2004 Mathematical modelling of subdiffusion-reaction systems. Zbl 1390.35158 Nepomnyashchy, A. A. 13 2016 Periodic stationary patterns governed by a convective Cahn-Hilliard equation. Zbl 1102.35009 Zaks, Michael A.; Podolny, Alla; Nepomnyashchy, Alexander A.; Golovin, Alexander A. 13 2005 Order parameter equations for long-wavelength instabilities. Zbl 0899.76184 Nepomnhyashchy, Alexander A. 12 1995 Dynamics of kinks in two-dimensional hyperbolic models. Zbl 0946.35050 Rotstein, Horacio G.; Nepomnyashchy, Alexander A. 12 2000 Stability of wavy conditions in a film flowing down an inclined plane. Zbl 0314.76033 Nepomnyashchij, A. A. 12 1975 On interaction of spiral waves. Zbl 0743.92006 Pismen, L. M.; Nepomnyashchy, A. A. 11 1992 Thermocapillary convection in a multilayer system. Zbl 0781.76034 Géoris, Ph.; Hennenberg, M.; Simanovskij, I. B.; Nepomniaschy, A.; Wertgejm, I. I.; Legros, J. C. 11 1993 Dynamics of domain walls governed by the convective Cahn–Hilliard equation. Zbl 1070.37059 Podolny, A.; Zaks, M. A.; Rubinstein, B. Y.; Golovin, A. A.; Nepomnyashchy, A. A. 11 2005 Cnoidal wave trains and solitary waves in a dissipation-modified Korteweg-de Vries equation. Zbl 0840.35093 Rednikov, A. E.; Velarde, M. G.; Ryazantsev, Yu. S.; Nepomnyashchy, A. A.; Kurdyumov, V. N. 10 1995 Turing instability in sub-diffusive reaction-diffusion systems. Zbl 1148.35039 Nec, Y.; Nepomnyashchy, A. A. 10 2007 Decomposition of a two-layer thin liquid film flowing under the action of Marangoni stresses. Zbl 1146.76492 Nepomnyashchy, A. A.; Simanovskii, I. B. 10 2006 Interfacial convection in multilayer systems. 2nd ed. Zbl 1237.76002 Nepomnyashchy, Alexander; Simanovskii, Ilya; Legros, Jean Claude 9 2012 Stability of thermocapillary flows with inclined temperature gradient. Zbl 1010.76034 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B.; Braverman, Leonid M. 9 2001 Nonlinear Marangoni waves in a two-layer film in the presence of gravity. Zbl 1309.76020 Nepomnyashchy, Alexander; Simanovskii, Ilya 9 2012 Linear and nonlinear theory of long-wave Marangoni instability with the Soret effect at finite Biot numbers. Zbl 1185.76585 Podolny, A.; Oron, A.; Nepomnyashchy, A. A. 9 2006 Influence of thermocapillary effect and interfacial heat release on convective oscillations in a two-layer system. Zbl 1186.76391 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B. 9 2004 Feedback control of Marangoni convection in a thin film heated from below. Zbl 1419.76058 Samoilova, Anna E.; Nepomnyashchy, Alexander 8 2019 Front motion for phase transitions in systems with memory. Zbl 0978.35080 Rotstein, Horacio G.; Domoshnitsky, Alexander I.; Nepomnyashchy, Alexander 8 2000 Stability of periodic waves generated by long-wavelength instabilities in isotropic and anisotropic systems. Zbl 0941.76033 Bar, Doron E.; Nepomnyashchy, Alexander A. 8 1999 New amplitude equation for Boussinesq convection and nonequilateral hexagonal patterns. Zbl 1020.35510 Kuznetsov, E. A.; Nepomnyashchy, A. A.; Pismen, L. M. 8 1995 Longwave instabilities and patterns in fluids. Zbl 1384.76001 Shklyaev, Sergey; Nepomnyashchy, Alexander 8 2017 Dynamics of ultra-thin two-layer films under the action of inclined temperature gradients. Zbl 1181.76029 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B. 8 2009 Thermocapillary and thermogravitational convection in a two-layer system with curved interface. Zbl 0556.76077 Nepomnyashchij, A. A.; Simanovskij, I. B. 7 1984 Nonequilateral hexagonal patterns. Zbl 0812.76029 Malomed, B. A.; Nepomnyashchy, A. A.; Nuz, A. E. 7 1994 Subdiffusive and superdiffusive transport in plane steady viscous flows. Zbl 1431.76119 Zaks, Michael A.; Nepomnyashchy, Alexander 7 2019 Hydrothermal waves in a liquid bridge subjected to a gas stream along the interface. Zbl 1461.76147 Gaponenko, Y.; Yasnou, V.; Mialdun, A.; Nepomnyashchy, A.; Shevtsova, V. 7 2021 New types of long-wave oscillatory Marangoni instabilities in multilayer systems. Zbl 0886.76031 Nepomnyashchy, A. A.; Simanovskii, I. B. 7 1997 Thermocapillary flow regimes and instability caused by a gas stream along the interface. Zbl 1284.76159 Shevtsova, V.; Gaponenko, Y. A.; Nepomnyashchy, A. 7 2013 Front propagation problems with sub-diffusion. Zbl 1189.35343 Nec, Yana; Volpert, Vladimir A.; Nepomnyashchy, Alexander A. 7 2010 Phase transition dynamics with memory. Zbl 1048.45004 Rotstein, H. G.; Domoshnitsky, A. I.; Nepomnyashchy, A. A. 6 1998 Coupled KS-CGL and coupled Burgers-CGL equations for flames governed by a sequential reaction. Zbl 0951.76096 Golovin, A. A.; Matkowsky, B. J.; Bayliss, A.; Nepomnyashchy, A. A. 6 1999 Three-dimensional convection in a two-layer system with anomalous thermocapillary effect. Zbl 1185.76057 Boeck, Thomas; Nepomnyashchy, Alexander; Simanovskii, Ilya; Golovin, Alexander; Braverman, Leonid; Thess, André 6 2002 Marangoni convection in a binary liquid layer with soret effect at small Lewis number: linear stability analysis. Zbl 1183.76478 Shklyaev, S.; Nepomnyashchy, A. A.; Oron, A. 6 2009 Beyond rock-paper-scissors systems – deterministic models of cyclic ecological systems with more than three species. Zbl 1486.92311 Bayliss, A.; Nepomnyashchy, A. A.; Volpert, V. A. 6 2020 Long-wave thermocapillary convection in layers with deformable interfaces. Zbl 0742.76076 Nepomnyashchij, A. A.; Simanovskij, I. B. 5 1990 Mathematical modeling of cyclic population dynamics. Zbl 1451.92249 Bayliss, A.; Nepomnyashchy, A. A.; Volpert, V. A. 5 2019 A dynamical mother body in a Hele-Shaw problem. Zbl 1219.37057 Savina, T. V.; Nepomnyashchy, A. A. 5 2011 Thermocapillary convection in a three-layer system with the temperature gradient directed along the interfaces. Zbl 1234.80002 Shevtsova, Valentina; Simanovskii, Ilya; Nepomnyashchy, Alexander; Legros, Jean-Claude 5 2005 Groove growth by surface subdiffusion. Zbl 1364.76212 Abu Hamed, M.; Nepomnyashchy, A. A. 5 2015 Linear stability of fractional reaction - diffusion systems. Zbl 1337.35076 Nec, Y.; Nepomnyashchy, A. A. 5 2007 Effect of gravity on the dynamics of non-isothermic ultra-thin two-layer films. Zbl 1205.76046 Nepomnyashchy, Alexander; Simanovskii, Ilya 5 2010 Turing instability of anomalous reaction-anomalous diffusion systems. Zbl 1168.35313 Nec, Y.; Nepomnyashchy, A. A. 5 2008 Stability of vortex rings in a model of superflow. Zbl 0791.35128 Pismen, L. M.; Nepomnyashchy, A. A. 4 1993 Stabilität von Wellenregimes in einem Film, der an einer schiefen Ebene abfließt. Zbl 0297.76033 Nepomnyashchij, A. A. 4 1974 Traveling and spiral waves for sequential flames with translation symmetry: coupled CGL-Burgers equations. Zbl 0982.80007 Golovin, A. A.; Nepomnyashchy, A. A.; Matkowsky, B. J. 4 2001 Longwave oscillatory patterns in liquids: outside the world of the complex Ginzburg-Landau equation. Zbl 1342.76023 Nepomnyashchy, Alexander; Shklyaev, Sergey 4 2016 The influence of two-dimensional temperature modulation on nonlinear Marangoni waves in two-layer films. Zbl 1404.76028 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B. 4 2018 Nonlinear development of oscillatory instability in a two-layer system under the combined action of buoyancy and thermocapillary effect. Zbl 1090.76025 Simanovskii, Ilya B.; Nepomnyashchy, Alexander A. 4 2006 Thermocapillary instability of a liquid layer under heat flux modulation. Zbl 1183.76489 Smorodin, B. L.; Mikishev, A. B.; Nepomnyashchy, A. A.; Myznikova, B. I. 4 2009 An exactly solvable model of subdiffusion-reaction front propagation. Zbl 1263.35183 Nepomnyashchy, A A; Volpert, V A 4 2013 Bounded solutions of nonlocal complex Ginzburg-Landau equations for a subcritical bifurcation. Zbl 1165.35470 Volpert, V. A.; Nepomnyashchy, A. A.; Stanton, L. G.; Golovin, A. A. 4 2008 Three-dimensional oscillatory long-wave Marangoni convection in a binary liquid layer with the Soret effect: bifurcation analysis. Zbl 1182.76697 Shklyaev, S.; Nepomnyashchy, A. A.; Oron, A. 4 2007 On dynamic excitation of Marangoni instability. Zbl 0762.76032 Gershuni, G. Z.; Nepomnyashchy, A. A.; Velarde, M. G. 3 1992 The shape control of a growing air bubble in a Hele-Shaw cell. Zbl 1320.76039 Savina, T. V.; Nepomnyashchy, A. A. 3 2015 Stability of rolls and hexagonal patterns in non-potential systems. Zbl 0943.76031 Nuz, A. E.; Nepomnyashchy, A. A.; Golovin, A. A.; Hari, A. A.; Pismen, L. M. 3 2000 Nonpotential effects in nonlinear dynamics of Marangoni convection. Zbl 1051.76021 Golovin, A. A.; Nepomnyashchy, A. A.; Pismen, L. M. 3 2002 Exact solutions to a Muskat problem with line distributions of sinks and sources. Zbl 1401.76058 Akinyemi, L.; Savina, T. V.; Nepomnyashchy, A. A. 3 2017 Domain coarsening in a subdiffusive Allen-Cahn equation. Zbl 1364.35135 Abu Hamed, M.; Nepomnyashchy, A. A. 3 2015 On a Hele-Shaw flow with a time-dependent gap in the presence of surface tension. Zbl 1446.76107 Savina, T. V.; Nepomnyashchy, A. A. 3 2015 The influence of vibration on Marangoni waves in two-layer films. Zbl 1287.76087 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B. 3 2013 Oscillatory instability in multilayer systems. Zbl 1186.76483 Simanovskii, I.; Georis, P.; Nepomnyashchy, A.; Legros, J.-C. 3 2003 Stability of a two-layer binary-fluid system with a diffuse interface. Zbl 1182.76256 Frolovskaya, O. A.; Nepomnyashchy, A. A.; Oron, A.; Golovin, A. A. 3 2008 Marangoni waves in a two-layer film under the action of an inclined temperature gradient. Zbl 1323.76013 Nepomnyashchy, A. A.; Simanovskii, I. B. 2 2014 Long-wave Marangoni convection in a layer of surfactant solution. Zbl 1323.76107 Morozov, M.; Oron, A.; Nepomnyashchy, A. A. 2 2014 Nonlinear investigation of anti-convection and Rayleigh-Bénard convection in systems with heat release at the interface. Zbl 0980.76021 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B. 2 2001 Nonlinear Marangoni convection with the inclined temperature gradient in multilayer systems. Zbl 1244.76010 Simanovskii, Ilya B.; Nepomnyashchy, Alexander A.; Shevtsova, Valentina M.; Colinet, Pierre; Legros, Jean-Claude 2 2006 Global feedback control of a long-wave morphological instability. Zbl 1162.93349 Nepomnyashchy, A. A.; Golovin, A. A.; Gubareva, V.; Panfilov, V. 2 2004 Spiral thermocapillary flows in two-layer systems. Zbl 0965.76020 Nepomnyashchy, A. A.; Simanovskii, I. B.; Braverman, L. M. 2 1999 Instabilities of wavy patterns governed by coupled Burgers equations. Zbl 1126.35066 Glasman, E. A.; Golovin, A. A.; Nepomnyashchy, A. A. 2 2004 Dynamics of curved fronts in systems with power-law memory. Zbl 1364.35414 Abu Hamed, M.; Nepomnyashchy, A. A. 2 2016 Longwave Marangoni convection in a surfactant solution between poorly conducting boundaries. Zbl 1284.76144 Shklyaev, Sergey; Nepomnyashchy, Alexander A. 2 2013 Drug diffusion in a swollen polymer. Zbl 1395.92065 Volpert, V. A.; Nepomnyashchy, A. A.; Kanevsky, Yuliya 2 2018 On the stability of space-periodic convective flows in a vertical layer with sinuous boundaries. Zbl 0468.76079 Vozovoj, L. P.; Nepomnyashchij, A. A. 2 1979 Convective oscillations in multilayer systems under the combined action of buoyancy and thermocapillary effect. Zbl 1187.76380 Nepomnyashchy, A.; Simanovskii, I.; Braverman, L. 2 2005 Combined action of anticonvective and thermocapillary mechanisms of instability. Zbl 1185.76278 Nepomnyashchy, A. A.; Simanovskii, I. B. 2 2002 On the route to extinction in nonadiabatic solid flames. Zbl 1141.80011 Park, J. H.; Bayliss, A.; Matkowsky, B. J.; Nepomnyashchy, A. A. 2 2006 Amplitude equations for a sub-diffusive reaction-diffusion system. Zbl 1149.35371 Nec, Y.; Nepomnyashchy, A. A. 2 2008 Anticonvection in systems with heat release on the interface. Zbl 1149.76490 Nepomnyashchy, A. A.; Simanovskii, I. B.; Braverman, L. M. 2 2000 Chaos in coupled heteroclinic cycles and its piecewise-constant representation. Zbl 1522.37053 Pikovsky, Arkady; Nepomnyashchy, Alexander 2 2023 On mixed convection modes in a vertical layer with unsteadily deformable boundaries. Zbl 0574.76092 Levina, G. V.; Nepomnyashchij, A. A. 1 1984 Onset of convection in a two-layer system. Zbl 0616.76052 Nepomnyashchiy, A. A.; Simanovskiy, I. B. 1 1986 Nonlinear dynamics of long-wave Marangoni convection in a binary mixture with the Soret effect. Zbl 1315.76031 Morozov, M.; Oron, A.; Nepomnyashchy, A. A. 1 2013 Chaos in coupled heteroclinic cycles and its piecewise-constant representation. Zbl 1522.37053 Pikovsky, Arkady; Nepomnyashchy, Alexander 2 2023 Hydrothermal waves in a liquid bridge subjected to a gas stream along the interface. Zbl 1461.76147 Gaponenko, Y.; Yasnou, V.; Mialdun, A.; Nepomnyashchy, A.; Shevtsova, V. 7 2021 Beyond rock-paper-scissors systems – deterministic models of cyclic ecological systems with more than three species. Zbl 1486.92311 Bayliss, A.; Nepomnyashchy, A. A.; Volpert, V. A. 6 2020 The action of temporal modulation of an interfacial heat consumption on nonlinear Marangoni waves in the presence of gravity. Zbl 1476.76072 Simanovskii, Ilya; Nepomnyashchy, Alexander; Viviani, Antonio; Dubois, Frank 1 2020 A simple model of keratocyte membrane dynamics: the case of motionless living cell. Zbl 1507.35296 Hamed, Mohammad Abu; Nepomnyashchy, Alexander A. 1 2020 Nonlinear feedback control of Marangoni wave patterns in a thin film heated from below. Zbl 1503.76039 Samoilova, Anna E.; Nepomnyashchy, Alexander 1 2020 Feedback control of Marangoni convection in a thin film heated from below. Zbl 1419.76058 Samoilova, Anna E.; Nepomnyashchy, Alexander 8 2019 Subdiffusive and superdiffusive transport in plane steady viscous flows. Zbl 1431.76119 Zaks, Michael A.; Nepomnyashchy, Alexander 7 2019 Mathematical modeling of cyclic population dynamics. Zbl 1451.92249 Bayliss, A.; Nepomnyashchy, A. A.; Volpert, V. A. 5 2019 Fronts in subdiffusive FitzHugh-Nagumo systems. Zbl 1432.35044 Nepomnyashchy, A. A.; Volpert, V. A. 1 2019 The influence of two-dimensional temperature modulation on nonlinear Marangoni waves in two-layer films. Zbl 1404.76028 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B. 4 2018 Drug diffusion in a swollen polymer. Zbl 1395.92065 Volpert, V. A.; Nepomnyashchy, A. A.; Kanevsky, Yuliya 2 2018 Longwave instabilities and patterns in fluids. Zbl 1384.76001 Shklyaev, Sergey; Nepomnyashchy, Alexander 8 2017 Exact solutions to a Muskat problem with line distributions of sinks and sources. Zbl 1401.76058 Akinyemi, L.; Savina, T. V.; Nepomnyashchy, A. A. 3 2017 Mathematical modelling of subdiffusion-reaction systems. Zbl 1390.35158 Nepomnyashchy, A. A. 13 2016 Longwave oscillatory patterns in liquids: outside the world of the complex Ginzburg-Landau equation. Zbl 1342.76023 Nepomnyashchy, Alexander; Shklyaev, Sergey 4 2016 Dynamics of curved fronts in systems with power-law memory. Zbl 1364.35414 Abu Hamed, M.; Nepomnyashchy, A. A. 2 2016 Groove growth by surface subdiffusion. Zbl 1364.76212 Abu Hamed, M.; Nepomnyashchy, A. A. 5 2015 The shape control of a growing air bubble in a Hele-Shaw cell. Zbl 1320.76039 Savina, T. V.; Nepomnyashchy, A. A. 3 2015 Domain coarsening in a subdiffusive Allen-Cahn equation. Zbl 1364.35135 Abu Hamed, M.; Nepomnyashchy, A. A. 3 2015 On a Hele-Shaw flow with a time-dependent gap in the presence of surface tension. Zbl 1446.76107 Savina, T. V.; Nepomnyashchy, A. A. 3 2015 Marangoni waves in a two-layer film under the action of an inclined temperature gradient. Zbl 1323.76013 Nepomnyashchy, A. A.; Simanovskii, I. B. 2 2014 Long-wave Marangoni convection in a layer of surfactant solution. Zbl 1323.76107 Morozov, M.; Oron, A.; Nepomnyashchy, A. A. 2 2014 Oscillatory longwave Marangoni convection in a binary liquid. II: Square patterns. Zbl 1307.76043 Shklyaev, Sergey; Nepomnyashchy, Alexander A.; Oron, Alexander 1 2014 Growth of a grain-boundary groove by surface superdiffusion. Zbl 1303.60070 Hamed, M. Abu; Nepomnyashchy, A. A. 1 2014 Fronts in anomalous diffusion-reaction systems. Zbl 1353.35181 Volpert, V. A.; Nec, Y.; Nepomnyashchy, A. A. 26 2013 Thermocapillary flow regimes and instability caused by a gas stream along the interface. Zbl 1284.76159 Shevtsova, V.; Gaponenko, Y. A.; Nepomnyashchy, A. 7 2013 An exactly solvable model of subdiffusion-reaction front propagation. Zbl 1263.35183 Nepomnyashchy, A A; Volpert, V A 4 2013 The influence of vibration on Marangoni waves in two-layer films. Zbl 1287.76087 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B. 3 2013 Longwave Marangoni convection in a surfactant solution between poorly conducting boundaries. Zbl 1284.76144 Shklyaev, Sergey; Nepomnyashchy, Alexander A. 2 2013 Nonlinear dynamics of long-wave Marangoni convection in a binary mixture with the Soret effect. Zbl 1315.76031 Morozov, M.; Oron, A.; Nepomnyashchy, A. A. 1 2013 Influence of low-frequency vibration on thermocapillary instability in a binary mixture with the soret effect: long-wave versus short-wave perturbations. Zbl 1284.76140 Fayzrakhmanova, Irina S.; Shklyaev, Sergey; Nepomnyashchy, Alexander A. 1 2013 Oscillatory longwave Marangoni convection in a binary liquid: rhombic patterns. Zbl 1437.76013 Shklyaev, Sergey; Nepomnyashchy, Alexander A.; Oron, Alexander 1 2013 Interfacial convection in multilayer systems. 2nd ed. Zbl 1237.76002 Nepomnyashchy, Alexander; Simanovskii, Ilya; Legros, Jean Claude 9 2012 Nonlinear Marangoni waves in a two-layer film in the presence of gravity. Zbl 1309.76020 Nepomnyashchy, Alexander; Simanovskii, Ilya 9 2012 A dynamical mother body in a Hele-Shaw problem. Zbl 1219.37057 Savina, T. V.; Nepomnyashchy, A. A. 5 2011 Exact solutions in front propagation problems with superdiffusion. Zbl 1190.35051 Volpert, V. A.; Nec, Y.; Nepomnyashchy, A. A. 22 2010 Front propagation problems with sub-diffusion. Zbl 1189.35343 Nec, Yana; Volpert, Vladimir A.; Nepomnyashchy, Alexander A. 7 2010 Effect of gravity on the dynamics of non-isothermic ultra-thin two-layer films. Zbl 1205.76046 Nepomnyashchy, Alexander; Simanovskii, Ilya 5 2010 Influence of a low frequency vibration on a long-wave Marangoni instability in a binary mixture with the Soret effect. Zbl 1308.76128 Fayzrakhmanova, I. S.; Shklyaev, S.; Nepomnyashchy, A. A. 1 2010 Dynamics of ultra-thin two-layer films under the action of inclined temperature gradients. Zbl 1181.76029 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B. 8 2009 Marangoni convection in a binary liquid layer with soret effect at small Lewis number: linear stability analysis. Zbl 1183.76478 Shklyaev, S.; Nepomnyashchy, A. A.; Oron, A. 6 2009 Thermocapillary instability of a liquid layer under heat flux modulation. Zbl 1183.76489 Smorodin, B. L.; Mikishev, A. B.; Nepomnyashchy, A. A.; Myznikova, B. I. 4 2009 Stability analysis of explosive crystallization front in the ESPE mode. Zbl 1160.37412 Smagin, Irina; Nepomnyashchy, Alexander 1 2009 Front-type solutions of fractional Allen-Cahn equation. Zbl 1160.35442 Nec, Y.; Nepomnyashchy, A. A.; Golovin, A. A. 28 2008 Turing instability of anomalous reaction-anomalous diffusion systems. Zbl 1168.35313 Nec, Y.; Nepomnyashchy, A. A. 5 2008 Bounded solutions of nonlocal complex Ginzburg-Landau equations for a subcritical bifurcation. Zbl 1165.35470 Volpert, V. A.; Nepomnyashchy, A. A.; Stanton, L. G.; Golovin, A. A. 4 2008 Stability of a two-layer binary-fluid system with a diffuse interface. Zbl 1182.76256 Frolovskaya, O. A.; Nepomnyashchy, A. A.; Oron, A.; Golovin, A. A. 3 2008 Amplitude equations for a sub-diffusive reaction-diffusion system. Zbl 1149.35371 Nec, Y.; Nepomnyashchy, A. A. 2 2008 Stability of periodic waves generated by subcritical oscillatory instability under the action of feedback control. Zbl 1227.35059 Kanevsky, Y.; Nepomnyashchy, A. A. 1 2008 Marangoni instability in ultrathin two-layer films. Zbl 1182.76557 Nepomnyashchy, A. A.; Simanovskii, I. B. 15 2007 Turing instability in sub-diffusive reaction-diffusion systems. Zbl 1148.35039 Nec, Y.; Nepomnyashchy, A. A. 10 2007 Linear stability of fractional reaction - diffusion systems. Zbl 1337.35076 Nec, Y.; Nepomnyashchy, A. A. 5 2007 Three-dimensional oscillatory long-wave Marangoni convection in a binary liquid layer with the Soret effect: bifurcation analysis. Zbl 1182.76697 Shklyaev, S.; Nepomnyashchy, A. A.; Oron, A. 4 2007 Interfacial convection in multilayer systems. Zbl 1100.76002 Nepomnyashchy, A.; Simanovskii, I.; Legros, J. C. 31 2006 Decomposition of a two-layer thin liquid film flowing under the action of Marangoni stresses. Zbl 1146.76492 Nepomnyashchy, A. A.; Simanovskii, I. B. 10 2006 Linear and nonlinear theory of long-wave Marangoni instability with the Soret effect at finite Biot numbers. Zbl 1185.76585 Podolny, A.; Oron, A.; Nepomnyashchy, A. A. 9 2006 Nonlinear development of oscillatory instability in a two-layer system under the combined action of buoyancy and thermocapillary effect. Zbl 1090.76025 Simanovskii, Ilya B.; Nepomnyashchy, Alexander A. 4 2006 Nonlinear Marangoni convection with the inclined temperature gradient in multilayer systems. Zbl 1244.76010 Simanovskii, Ilya B.; Nepomnyashchy, Alexander A.; Shevtsova, Valentina M.; Colinet, Pierre; Legros, Jean-Claude 2 2006 On the route to extinction in nonadiabatic solid flames. Zbl 1141.80011 Park, J. H.; Bayliss, A.; Matkowsky, B. J.; Nepomnyashchy, A. A. 2 2006 Long-wave marangoni instability in a binary-liquid layer with deformable interface in the presence of soret effect: linear theory. Zbl 1188.76123 Podolny, A.; Oron, A.; Nepomnyashchy, A. A. 17 2005 Periodic stationary patterns governed by a convective Cahn-Hilliard equation. Zbl 1102.35009 Zaks, Michael A.; Podolny, Alla; Nepomnyashchy, Alexander A.; Golovin, Alexander A. 13 2005 Dynamics of domain walls governed by the convective Cahn–Hilliard equation. Zbl 1070.37059 Podolny, A.; Zaks, M. A.; Rubinstein, B. Y.; Golovin, A. A.; Nepomnyashchy, A. A. 11 2005 Thermocapillary convection in a three-layer system with the temperature gradient directed along the interfaces. Zbl 1234.80002 Shevtsova, Valentina; Simanovskii, Ilya; Nepomnyashchy, Alexander; Legros, Jean-Claude 5 2005 Convective oscillations in multilayer systems under the combined action of buoyancy and thermocapillary effect. Zbl 1187.76380 Nepomnyashchy, A.; Simanovskii, I.; Braverman, L. 2 2005 Thermocapillary flows under an inclined temperature gradient. Zbl 1116.76352 Shklyaev, Oleg E.; Nepomnyashchy, Alexander A. 13 2004 Influence of thermocapillary effect and interfacial heat release on convective oscillations in a two-layer system. Zbl 1186.76391 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B. 9 2004 Global feedback control of a long-wave morphological instability. Zbl 1162.93349 Nepomnyashchy, A. A.; Golovin, A. A.; Gubareva, V.; Panfilov, V. 2 2004 Instabilities of wavy patterns governed by coupled Burgers equations. Zbl 1126.35066 Glasman, E. A.; Golovin, A. A.; Nepomnyashchy, A. A. 2 2004 Oscillatory instability in multilayer systems. Zbl 1186.76483 Simanovskii, I.; Georis, P.; Nepomnyashchy, A.; Legros, J.-C. 3 2003 A complex Swift-Hohenberg equation coupled to the Goldstone mode in the nonlinear dynamics of flames. Zbl 1092.80008 Golovin, A. A.; Matkowsky, B. J.; Nepomnyashchy, A. A. 1 2003 Interfacial phenomena and convection. Zbl 0988.76004 Nepomnyashchy, Alexander A.; Velarde, Manuel G.; Colinet, Pierre 42 2002 Three-dimensional convection in a two-layer system with anomalous thermocapillary effect. Zbl 1185.76057 Boeck, Thomas; Nepomnyashchy, Alexander; Simanovskii, Ilya; Golovin, Alexander; Braverman, Leonid; Thess, André 6 2002 Nonpotential effects in nonlinear dynamics of Marangoni convection. Zbl 1051.76021 Golovin, A. A.; Nepomnyashchy, A. A.; Pismen, L. M. 3 2002 Combined action of anticonvective and thermocapillary mechanisms of instability. Zbl 1185.76278 Nepomnyashchy, A. A.; Simanovskii, I. B. 2 2002 Phase field equations with memory: The hyperbolic case. Zbl 0990.80007 Rotstein, Horacio G.; Brandon, Simon; Novick-Cohen, Amy; Nepomnyashchy, Alexander 19 2001 Stability of thermocapillary flows with inclined temperature gradient. Zbl 1010.76034 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B.; Braverman, Leonid M. 9 2001 Traveling and spiral waves for sequential flames with translation symmetry: coupled CGL-Burgers equations. Zbl 0982.80007 Golovin, A. A.; Nepomnyashchy, A. A.; Matkowsky, B. J. 4 2001 Nonlinear investigation of anti-convection and Rayleigh-Bénard convection in systems with heat release at the interface. Zbl 0980.76021 Nepomnyashchy, Alexander A.; Simanovskii, Ilya B. 2 2001 Dynamics of kinks in two-dimensional hyperbolic models. Zbl 0946.35050 Rotstein, Horacio G.; Nepomnyashchy, Alexander A. 12 2000 Front motion for phase transitions in systems with memory. Zbl 0978.35080 Rotstein, Horacio G.; Domoshnitsky, Alexander I.; Nepomnyashchy, Alexander 8 2000 Stability of rolls and hexagonal patterns in non-potential systems. Zbl 0943.76031 Nuz, A. E.; Nepomnyashchy, A. A.; Golovin, A. A.; Hari, A. A.; Pismen, L. M. 3 2000 Anticonvection in systems with heat release on the interface. Zbl 1149.76490 Nepomnyashchy, A. A.; Simanovskii, I. B.; Braverman, L. M. 2 2000 Convective Cahn-Hilliard models for kinetically controlled crystal growth. Zbl 1082.35511 Golovin, A. A.; Davis, S. H.; Nepomnyashchy, A. A.; Zaks, M. A. 1 2000 Stability of periodic waves generated by long-wavelength instabilities in isotropic and anisotropic systems. Zbl 0941.76033 Bar, Doron E.; Nepomnyashchy, Alexander A. 8 1999 Coupled KS-CGL and coupled Burgers-CGL equations for flames governed by a sequential reaction. Zbl 0951.76096 Golovin, A. A.; Matkowsky, B. J.; Bayliss, A.; Nepomnyashchy, A. A. 6 1999 Spiral thermocapillary flows in two-layer systems. Zbl 0965.76020 Nepomnyashchy, A. A.; Simanovskii, I. B.; Braverman, L. M. 2 1999 Three-dimensional waves in thin liquid films. Zbl 0979.76026 Nepomnyashchy, Alexander A. 1 1999 A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth. Zbl 0952.74050 Golovin, A. A.; Davis, S. H.; Nepomnyashchy, A. A. 33 1998 Phase transition dynamics with memory. Zbl 1048.45004 Rotstein, H. G.; Domoshnitsky, A. I.; Nepomnyashchy, A. A. 6 1998 Nonlinear evolution and secondary instabilities of Marangoni convection in a liquid-gas system with deformable interface. Zbl 0897.76030 Golovin, A. A.; Nepomnyashchy, A. A.; Pismen, L. M. 14 1997 New types of long-wave oscillatory Marangoni instabilities in multilayer systems. Zbl 0886.76031 Nepomnyashchy, A. A.; Simanovskii, I. B. 7 1997 Pattern formation in large-scale Marangoni convection with deformable interface. Zbl 0899.76164 Golovin, A. A.; Nepomnyashchy, A. A.; Pismen, L. M. 20 1995 Stability of periodic waves governed by the modified Kawahara equation. Zbl 0847.35059 Bar, Doron E.; Nepomnyashchy, Alexander A. 17 1995 Order parameter equations for long-wavelength instabilities. Zbl 0899.76184 Nepomnhyashchy, Alexander A. 12 1995 Cnoidal wave trains and solitary waves in a dissipation-modified Korteweg-de Vries equation. Zbl 0840.35093 Rednikov, A. E.; Velarde, M. G.; Ryazantsev, Yu. S.; Nepomnyashchy, A. A.; Kurdyumov, V. N. 10 1995 New amplitude equation for Boussinesq convection and nonequilateral hexagonal patterns. Zbl 1020.35510 Kuznetsov, E. A.; Nepomnyashchy, A. A.; Pismen, L. M. 8 1995 Oscillatory convection instabilities in systems with an interface. Zbl 1134.76624 Nepomnyashchy, A.; Simanovskii, I. 1 1995 A three-dimensional description of solitary waves and their interaction in Marangoni-Bénard layers. Zbl 0826.76020 Nepomnyashchy, Alexander A.; Velarde, Manuel G. 23 1994 Interaction between short-scale Marangoni convection and long-scale deformational instability. Zbl 0826.76027 Golovin, A. A.; Nepomnyashchy, A. A.; Pismen, L. M. 17 1994 ...and 16 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 818 Authors 72 Nepomnyashchy, Alexander A. 27 Simanovskii, Ilya B. 16 Velarde, Manuel G. 13 Golovin, Alexander A. 12 Oron, Alexander 10 Thiele, Uwe 9 Andreev, Viktor Konstantinovich 9 Volpert, Vladimir A. 8 Nec, Yana 8 Viviani, Antonio 8 Vougalter, Vitali 7 Dubois, Frank 7 Legros, Jean-Claude 7 Shvarts, Konstantin G. 6 Kalliadasis, Serafim 6 Shevtsova, Valentina M. 6 Volpert, Vitaly A. 5 Bayliss, Alvin 5 Chetverikov, Aleksandr Petrovich 5 Ebeling, Werner 5 Esfahani, Amin 5 Johnson, Mathew A. 5 Patne, Ramkarn 5 Podolny, Alla 5 Radkevich, Evgeniĭ Vladimirovich 5 Shklyaev, Sergey V. 5 Zhao, Xiaopeng 4 Angstmann, Christopher N. 4 Boeck, Thomas 4 Coclite, Giuseppe Maria 4 Davis, Stephen Howard 4 Di Ruvo, Lorenzo 4 Domoshnitsky, Alexander I. 4 Henry, Bruce I. 4 Liu, Changchun 4 Macías-Díaz, Jorge Eduardo 4 Noble, Pascal 4 Riecke, Hermann 4 Rodrigues, Luis Miguel 4 Rotstein, Horacio G. 4 Samoilova, Anna E. 4 Savina, Tatiana V. 4 Tseluiko, Dmitri 4 Zumbrun, Kevin R. 3 Abu Hamed, M. 3 Agnon, Yehuda 3 Barker, Blake 3 Bestehorn, Michael 3 Bratsun, D. A. 3 Fang, Shaomei 3 Gaponenko, Yu. A. 3 Gidey, H. H. 3 Goltser, Yakov M. 3 Goncharova, Olga N. 3 Guo, Changhong 3 Jerrard, Robert Leon 3 Kaminski Lenzi, Ervin 3 Kondic, Lou 3 Kuhlmann, Hendrik C. 3 Kühn, Christian 3 Kulikov, Anatoliĭ Nikolaevich 3 Kulikov, Dmitriĭ Anatol’evich 3 Lenzi, Marcelo K. 3 Lukashev, Evgeniĭ Alekseevich 3 Matkowsky, Bernard J. 3 Mizev, Alexey I. 3 Romanò, Francesco 3 Ryzhkov, Ilya I. 3 Sammartino, Marco Maria Luigi 3 Smorodin, Boris L. 3 Stojanović, Mario 3 Vergara, Vicente 3 Yakovlev, Nikolaĭ Nikolaevich 3 Yasnou, V. 2 Abbas, Muhammad Mohsin 2 Aguareles, Maria 2 Akinyemi, Lanre 2 Appadu, A. R. 2 Aranson, Igor S. 2 Awad, Emad S. 2 Balachandran, Krishnan 2 Bar, Doron E. 2 Batson, W. 2 Bekezhanova, Victoria B. 2 Bekezhanova, Viktoriya B. 2 Braverman, Leonid M. 2 Chapman, Stephen Jonathan 2 Chen, Huanzhen 2 Cheng, Hongmei 2 Cheremnykh, Elena N. 2 Coriell, Sam R. 2 Datsko, Bohdan 2 Demin, Vitaliĭ Anatol’evich 2 Djoko, Jules K. 2 Donnelly, Isaac C. 2 Duan, Jinqiao 2 Eckert, Kerstin 2 Efimova, Marina V. 2 El-Sayed, Mohamed Fahmy 2 Elizarova, Tat’yana Gennad’evna ...and 718 more Authors all top 5 Cited in 150 Serials 61 Physica D 51 Journal of Fluid Mechanics 47 Physics of Fluids 20 Mathematical Modelling of Natural Phenomena 16 Fluid Dynamics 10 Journal of Computational Physics 10 European Journal of Mechanics. B. 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