## Plotnikov, Pavel I.

Compute Distance To:
 Author ID: plotnikov.pavel-i Published as: Plotnikov, P. I.; Plotnikov, Pavel I.; Plotnikov, Pavel more...less External Links: MGP · Wikidata
 Documents Indexed: 87 Publications since 1975, including 2 Books 1 Further Contribution Co-Authors: 22 Co-Authors with 61 Joint Publications 415 Co-Co-Authors
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### Co-Authors

 27 single-authored 22 Sokołowski, Jan 11 Toland, John Francis 7 Iooss, Gérard 5 Weigant, Wladimir 4 Ruban, Evgenya V. 3 Sazhenkov, Sergey Alexandrovich 3 Starovoitov, Victor Nikolayevich 2 Ganghoffer, Jean-François 2 Kuznetsov, Ivan V. 2 Nalimov, V. I. 1 Bukreev, V. I. 1 Colli, Pierluigi 1 Ganghoffer, Jean-Franǫis 1 Guidorzi, Marcello 1 Klepacheva, A. V. 1 Lyapidevskiĭ, Valeriĭ Yur’evich 1 Luckhaus, Stephan 1 Makarenko, Nikolay I. 1 Monakhov, Valentin Nikolaevich 1 Ovsyannikov, Lev Vasil’evich 1 Padula, Mariarosaria 1 Rudoy, Evgeny Mikhailovich 1 Sokolovskij, Ya. I. 1 Starovoĭtova, Botagoz Nikolaevna 1 Sturova, Izolda V. 1 Turbin, Mikhail V. 1 Ustiuzhaninova, A. S. 1 Yungerman, L. N.
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### Serials

 11 Doklady Mathematics 5 Archive for Rational Mechanics and Analysis 5 Siberian Mathematical Journal 3 Differential Equations 3 SIAM Journal on Control and Optimization 3 Soviet Physics. Doklady 3 Journal of Mathematical Fluid Mechanics 2 Journal of Soviet Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Journal of Mathematical Sciences (New York) 2 Proceedings of the Steklov Institute of Mathematics 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Archives of Mechanics 1 Communications in Mathematical Physics 1 Dinamika Sploshnoĭ Sredy 1 Journal of Mathematical Analysis and Applications 1 Russian Mathematical Surveys 1 Indiana University Mathematics Journal 1 Mathematics of the USSR. Izvestiya 1 Memoirs of the American Mathematical Society 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Studies in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Journal of Elasticity 1 Mathematics of the USSR, Sbornik 1 Archive of Applied Mechanics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Applied Mechanics and Technical Physics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Monografie Matematyczne. Instytut Matematyczny PAN. New Series 1 Evolution Equations and Control Theory 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Fields

 69 Partial differential equations (35-XX) 59 Fluid mechanics (76-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 4 Ordinary differential equations (34-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Operator theory (47-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

56 Publications have been cited 607 times in 389 Documents Cited by Year
Standing waves on an infinitely deep perfect fluid under gravity. Zbl 1176.76017
Iooss, G.; Plotnikov, P. I.; Toland, J. F.
2005
Small divisor problem in the theory of three-dimensional water gravity waves. Zbl 1172.76005
Iooss, Gérard; Plotnikov, Pavel I.
2009
Modelling nonlinear hydroelastic waves. Zbl 1228.76027
Plotnikov, P. I.; Toland, J. F.
2011
Convexity of Stokes waves of extreme form. Zbl 1064.76017
Plotnikov, P. I.; Toland, J. F.
2004
Compressible Navier-Stokes equations. Theory and shape optimization. Zbl 1260.35002
Plotnikov, Pavel; Sokołowski, Jan
2012
Nash-Moser theory for standing water waves. Zbl 1033.76005
Plotnikov, P. I.; Toland, J. F.
2001
Asymmetrical three-dimensional travelling gravity waves. Zbl 1231.35169
Iooss, Gérard; Plotnikov, Pavel
2011
Passing to the limit with respect to viscosity in an equation with variable parabolicity direction. Zbl 0824.35100
Plotnikov, P. I.
1994
On compactness, domain dependence and existence of steady state solutions to compressible isothermal Navier-Stokes equations. Zbl 1090.35140
Plotnikov, P. I.; Sokolowski, J.
2005
Inhomogeneous boundary value problems for compressible Navier – Stokes equations: Well-posedness and sensitivity analysis. Zbl 1173.35101
Plotnikov, P. I.; Ruban, E. V.; Sokolowski, J.
2008
Inhomogeneous boundary value problems for compressible Navier-Stokes and transport equations. Zbl 1168.76042
Plotnikov, P. I.; Ruban, E. V.; Sokolowski, J.
2009
Hopf solutions to a fluid-elastic interaction model. Zbl 1153.76338
Guidorzi, M.; Padula, M.; Plotnikov, P. I.
2008
Steady 3D viscous compressible flows with adiabatic exponent $$\gamma \in(1, \infty)$$. Zbl 1369.76050
Plotnikov, P. I.; Weigant, W.
2015
Isothermal Navier-Stokes equations and Radon transform. Zbl 1323.35134
Plotnikov, P. I.; Weigant, W.
2015
Nonuniqueness of solutions of the problem of solitary waves and bifurcation of critical points of smooth functionals. Zbl 0795.76017
Plotnikov, P. I.
1991
Stationary solutions of Navier-Stokes equations for diatomic gases. Zbl 1139.76049
Plotnikov, P. I.; Sokolowski, J.
2007
Concentrations of solutions to time-discretizied compressible Navier-Stokes equations. Zbl 1082.35124
Plotnikov, P. I.; Sokolowski, J.
2005
Proof of the Stokes’ conjecture in the theory of surface waves. Zbl 1152.76339
Plotnikov, P. I.
2002
A proof of Stokes’ conjecture in the theory of surface waves. Zbl 0522.76017
Plotnikov, P. I.
1982
Multimodal standing gravity waves: a completely resonant system. Zbl 1065.35051
Iooss, Gérard; Plotnikov, Pavel
2005
Equations with alternating direction of parabolicity and the hysteresis effect. Zbl 0831.35091
Plotnikov, P. I.
1993
Domain dependence of solutions to compressible Navier-Stokes equations. Zbl 1122.35098
Plotnikov, P. I.; Sokolowski, J.
2006
Existence of multimodal standing gravity waves. Zbl 1096.76009
Iooss, Gérard; Plotnikov, Pavel
2005
The Stefan problem with surface tension as the limit of a phase field model. Zbl 0802.35165
Plotnikov, P. I.; Starovoĭtov, V. N.
1993
Nonlinear problems of the theory of surface and internal waves. (Нелинейные проблемы теории поверхностных и внутренних волн.) Zbl 0613.76012
1985
Shape derivative of drag functional. Zbl 1429.76086
Plotnikov, P. I.; Sokolowski, J.
2010
The phase field equations and gradient flows of marginal functions. Zbl 0981.35088
Plotnikov, P. I.; Klepacheva, A. V.
2001
Existence theorem for a weak solution of the optimal feedback control problem for the modified Kelvin-Voigt model of weakly concentrated aqueous polymer solutions. Zbl 1434.49030
Plotnikov, P. I.; Turbin, M. V.; Ustiuzhaninova, A. S.
2019
Generalized solutions to a free boundary problem of motion of a non- Newtonian fluid. Zbl 0814.76007
Plotnikov, P. I.
1993
Entropy solutions to the Buckley–Leverett equations. Zbl 0949.76081
Luckhaus, S.; Plotnikov, P. I.
2000
Forward-backward parabolic equations and hysteresis. Zbl 0928.35084
Plotnikov, P. I.
1996
Kinetic formulation for the Graetz-Nusselt ultra-parabolic equation. Zbl 1063.35098
Plotnikov, P. I.; Sazhenkov, S. A.
2005
The Fourier coefficients of Stokes’ waves. Zbl 1046.35090
Plotnikov, Pavel I.; Toland, John F.
2002
Shape sensitivity analysis of energy integrals for bodies with rigid inclusions and cracks. Zbl 1234.35273
Plotnikov, P. I.; Rudoy, E. M.
2011
Cauchy problem for the Graetz-Nusselt ultraparabolic equation. Zbl 1272.35129
Plotnikov, P. I.; Sazhenkov, S. A.
2005
Periodic solutions of a weakly linear wave equation with an irrational ratio of the period to the interval length. Zbl 0675.35058
Plotnikov, P. I.; Yungerman, L. N.
1988
Stationary boundary value problems for compressible Navier-Stokes equations. Zbl 1234.35201
Plotnikov, P. I.; Sokolowski, J.
2008
Mathematical modeling of volumetric material growth in thermoelasticity. Zbl 1308.35301
Ganghoffer, Jean-François; Plotnikov, Pavel I.; Sokołowski, Jan
2014
Existence of a countable set of periodic solutions of the problem of forced oscillations for a weakly nonlinear wave equation. Zbl 0683.35054
Plotnikov, P. I.
1989
Strain-gradient theory of hydroelastic travelling waves and Young measures of their singular limits. Zbl 1243.35180
Plotnikov, P. I.; Toland, J. F.
2012
Standing waves on infinite depth. Zbl 1034.76010
Iooss, Gérard; Plotnikov, Pavel; Toland, John
2004
Shape optimization for Navier-Stokes equations. Zbl 1239.49058
Plotnikov, Pavel I.; Sokolowski, Jan
2007
Optimal shape control of airfoil in compressible gas flow governed by Navier-Stokes equations. Zbl 1282.35313
Plotnikov, Pavel I.; Sokolowski, Jan
2013
Properties of the solution of a variational problem concerning the motion of a rigid body in a stokes fluid. Zbl 1260.49070
Plotnikov, P. I.; Starovoitov, V. N.; Starovoitova, B. N.
2012
Mathematical modeling of volumetric material growth. Zbl 1341.35158
Ganghoffer, Jean-Franǫis; Plotnikov, Pavel; Sokołowski, Jan
2014
Kolmogorov’s theorem for low-dimensional invariant tori of Hamiltonian systems. Zbl 1252.37052
Plotnikov, P. I.; Kuznetsov, I. V.
2011
Boundary control of the motion of a Heavy Piston in viscous gas. Zbl 1448.76124
Plotnikov, Pavel I.; Sokołowski, Jan
2019
Morse theory for conditionally-periodic solutions to Hamiltonian systems. Zbl 0859.58024
Plotnikov, P. I.
1994
Existence of a directional Stokes drift in asymmetrical three-dimensional travelling gravity waves. Zbl 1221.35297
Iooss, Gérard; Plotnikov, Pavel
2009
Shape differentiability of drag functional for compressible Navier-Stokes equations. Zbl 1425.76209
Plotnikov, P. I.; Ruban, E. V.; Sokolowski, J.
2009
The incorrectness of a non-linear problem on the development of the Taylor instability. Zbl 0456.76035
Plotnikov, P. I.
1980
Phase transitions with a minimal number of jumps in the singular limits of higher order theories. Zbl 1192.82034
Plotnikov, P. I.; Toland, J. F.
2010
Shape sensitivity analysis for compressible Navier-Stokes equations. Zbl 1187.90317
Plotnikov, Pavel I.; Ruban, Evgenya V.; Sokołowski, Jan
2009
Inhomogeneous boundary value problem for nonstationary compressible Navier-Stokes equations. Zbl 1298.35136
Plotnikov, P. I.; Sokolowski, J.
2010
Solvability of the problem of spatial gravitational waves on the surface of an ideal fluid. Zbl 0495.76027
Plotnikov, P. I.
1980
Ill-posedness of the nonlinear problem of the development of Taylor instability. Zbl 0506.76013
Plotnikov, P. I.
1983
Existence theorem for a weak solution of the optimal feedback control problem for the modified Kelvin-Voigt model of weakly concentrated aqueous polymer solutions. Zbl 1434.49030
Plotnikov, P. I.; Turbin, M. V.; Ustiuzhaninova, A. S.
2019
Boundary control of the motion of a Heavy Piston in viscous gas. Zbl 1448.76124
Plotnikov, Pavel I.; Sokołowski, Jan
2019
Steady 3D viscous compressible flows with adiabatic exponent $$\gamma \in(1, \infty)$$. Zbl 1369.76050
Plotnikov, P. I.; Weigant, W.
2015
Isothermal Navier-Stokes equations and Radon transform. Zbl 1323.35134
Plotnikov, P. I.; Weigant, W.
2015
Mathematical modeling of volumetric material growth in thermoelasticity. Zbl 1308.35301
Ganghoffer, Jean-François; Plotnikov, Pavel I.; Sokołowski, Jan
2014
Mathematical modeling of volumetric material growth. Zbl 1341.35158
Ganghoffer, Jean-Franǫis; Plotnikov, Pavel; Sokołowski, Jan
2014
Optimal shape control of airfoil in compressible gas flow governed by Navier-Stokes equations. Zbl 1282.35313
Plotnikov, Pavel I.; Sokolowski, Jan
2013
Compressible Navier-Stokes equations. Theory and shape optimization. Zbl 1260.35002
Plotnikov, Pavel; Sokołowski, Jan
2012
Strain-gradient theory of hydroelastic travelling waves and Young measures of their singular limits. Zbl 1243.35180
Plotnikov, P. I.; Toland, J. F.
2012
Properties of the solution of a variational problem concerning the motion of a rigid body in a stokes fluid. Zbl 1260.49070
Plotnikov, P. I.; Starovoitov, V. N.; Starovoitova, B. N.
2012
Modelling nonlinear hydroelastic waves. Zbl 1228.76027
Plotnikov, P. I.; Toland, J. F.
2011
Asymmetrical three-dimensional travelling gravity waves. Zbl 1231.35169
Iooss, Gérard; Plotnikov, Pavel
2011
Shape sensitivity analysis of energy integrals for bodies with rigid inclusions and cracks. Zbl 1234.35273
Plotnikov, P. I.; Rudoy, E. M.
2011
Kolmogorov’s theorem for low-dimensional invariant tori of Hamiltonian systems. Zbl 1252.37052
Plotnikov, P. I.; Kuznetsov, I. V.
2011
Shape derivative of drag functional. Zbl 1429.76086
Plotnikov, P. I.; Sokolowski, J.
2010
Phase transitions with a minimal number of jumps in the singular limits of higher order theories. Zbl 1192.82034
Plotnikov, P. I.; Toland, J. F.
2010
Inhomogeneous boundary value problem for nonstationary compressible Navier-Stokes equations. Zbl 1298.35136
Plotnikov, P. I.; Sokolowski, J.
2010
Small divisor problem in the theory of three-dimensional water gravity waves. Zbl 1172.76005
Iooss, Gérard; Plotnikov, Pavel I.
2009
Inhomogeneous boundary value problems for compressible Navier-Stokes and transport equations. Zbl 1168.76042
Plotnikov, P. I.; Ruban, E. V.; Sokolowski, J.
2009
Existence of a directional Stokes drift in asymmetrical three-dimensional travelling gravity waves. Zbl 1221.35297
Iooss, Gérard; Plotnikov, Pavel
2009
Shape differentiability of drag functional for compressible Navier-Stokes equations. Zbl 1425.76209
Plotnikov, P. I.; Ruban, E. V.; Sokolowski, J.
2009
Shape sensitivity analysis for compressible Navier-Stokes equations. Zbl 1187.90317
Plotnikov, Pavel I.; Ruban, Evgenya V.; Sokołowski, Jan
2009
Inhomogeneous boundary value problems for compressible Navier – Stokes equations: Well-posedness and sensitivity analysis. Zbl 1173.35101
Plotnikov, P. I.; Ruban, E. V.; Sokolowski, J.
2008
Hopf solutions to a fluid-elastic interaction model. Zbl 1153.76338
Guidorzi, M.; Padula, M.; Plotnikov, P. I.
2008
Stationary boundary value problems for compressible Navier-Stokes equations. Zbl 1234.35201
Plotnikov, P. I.; Sokolowski, J.
2008
Stationary solutions of Navier-Stokes equations for diatomic gases. Zbl 1139.76049
Plotnikov, P. I.; Sokolowski, J.
2007
Shape optimization for Navier-Stokes equations. Zbl 1239.49058
Plotnikov, Pavel I.; Sokolowski, Jan
2007
Domain dependence of solutions to compressible Navier-Stokes equations. Zbl 1122.35098
Plotnikov, P. I.; Sokolowski, J.
2006
Standing waves on an infinitely deep perfect fluid under gravity. Zbl 1176.76017
Iooss, G.; Plotnikov, P. I.; Toland, J. F.
2005
On compactness, domain dependence and existence of steady state solutions to compressible isothermal Navier-Stokes equations. Zbl 1090.35140
Plotnikov, P. I.; Sokolowski, J.
2005
Concentrations of solutions to time-discretizied compressible Navier-Stokes equations. Zbl 1082.35124
Plotnikov, P. I.; Sokolowski, J.
2005
Multimodal standing gravity waves: a completely resonant system. Zbl 1065.35051
Iooss, Gérard; Plotnikov, Pavel
2005
Existence of multimodal standing gravity waves. Zbl 1096.76009
Iooss, Gérard; Plotnikov, Pavel
2005
Kinetic formulation for the Graetz-Nusselt ultra-parabolic equation. Zbl 1063.35098
Plotnikov, P. I.; Sazhenkov, S. A.
2005
Cauchy problem for the Graetz-Nusselt ultraparabolic equation. Zbl 1272.35129
Plotnikov, P. I.; Sazhenkov, S. A.
2005
Convexity of Stokes waves of extreme form. Zbl 1064.76017
Plotnikov, P. I.; Toland, J. F.
2004
Standing waves on infinite depth. Zbl 1034.76010
Iooss, Gérard; Plotnikov, Pavel; Toland, John
2004
Proof of the Stokes’ conjecture in the theory of surface waves. Zbl 1152.76339
Plotnikov, P. I.
2002
The Fourier coefficients of Stokes’ waves. Zbl 1046.35090
Plotnikov, Pavel I.; Toland, John F.
2002
Nash-Moser theory for standing water waves. Zbl 1033.76005
Plotnikov, P. I.; Toland, J. F.
2001
The phase field equations and gradient flows of marginal functions. Zbl 0981.35088
Plotnikov, P. I.; Klepacheva, A. V.
2001
Entropy solutions to the Buckley–Leverett equations. Zbl 0949.76081
Luckhaus, S.; Plotnikov, P. I.
2000
Forward-backward parabolic equations and hysteresis. Zbl 0928.35084
Plotnikov, P. I.
1996
Passing to the limit with respect to viscosity in an equation with variable parabolicity direction. Zbl 0824.35100
Plotnikov, P. I.
1994
Morse theory for conditionally-periodic solutions to Hamiltonian systems. Zbl 0859.58024
Plotnikov, P. I.
1994
Equations with alternating direction of parabolicity and the hysteresis effect. Zbl 0831.35091
Plotnikov, P. I.
1993
The Stefan problem with surface tension as the limit of a phase field model. Zbl 0802.35165
Plotnikov, P. I.; Starovoĭtov, V. N.
1993
Generalized solutions to a free boundary problem of motion of a non- Newtonian fluid. Zbl 0814.76007
Plotnikov, P. I.
1993
Nonuniqueness of solutions of the problem of solitary waves and bifurcation of critical points of smooth functionals. Zbl 0795.76017
Plotnikov, P. I.
1991
Existence of a countable set of periodic solutions of the problem of forced oscillations for a weakly nonlinear wave equation. Zbl 0683.35054
Plotnikov, P. I.
1989
Periodic solutions of a weakly linear wave equation with an irrational ratio of the period to the interval length. Zbl 0675.35058
Plotnikov, P. I.; Yungerman, L. N.
1988
Nonlinear problems of the theory of surface and internal waves. (Нелинейные проблемы теории поверхностных и внутренних волн.) Zbl 0613.76012
1985
Ill-posedness of the nonlinear problem of the development of Taylor instability. Zbl 0506.76013
Plotnikov, P. I.
1983
A proof of Stokes’ conjecture in the theory of surface waves. Zbl 0522.76017
Plotnikov, P. I.
1982
The incorrectness of a non-linear problem on the development of the Taylor instability. Zbl 0456.76035
Plotnikov, P. I.
1980
Solvability of the problem of spatial gravitational waves on the surface of an ideal fluid. Zbl 0495.76027
Plotnikov, P. I.
1980
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### Cited by 412 Authors

 21 Plotnikov, Pavel I. 16 Montalto, Riccardo 14 Berti, Massimiliano 14 Sokołowski, Jan 10 Baldi, Pietro 10 Tesei, Alberto 9 Părău, Emilian I. 9 Pokorný, Milan 9 Toland, John Francis 8 Feireisl, Eduard 8 Iooss, Gérard 8 Vanden-Broeck, Jean-Marc 7 Ambrose, David M. 7 Novotný, Antonín 7 Smarrazzo, Flavia 6 Bambusi, Dario 6 Piasecki, Tomasz 6 Wahlén, Erik 6 Weiss, Georg Sebastian 5 Alazard, Thomas 5 Constantin, Adrian 5 Duan, Xianbao 5 Groves, Mark D. 5 Martin, Calin-Iulian 5 Procesi, Michela 5 Starovoitov, Victor Nikolayevich 5 Vărvărucă, Eugen 5 Wilkening, Jon A. 4 Bresch, Didier 4 Escher, Joachim 4 Fëdorov, Vladimir Evgen’evich 4 Feola, Roberto 4 Kuznetsov, Ivan V. 4 Lukáčová-Medvid’ová, Mária 4 Lyons, Tony 4 Maspero, Alberto 4 Milewski, Paul A. 4 Mucha, Piotr Bogusław 4 Prokudin, Dmitriĭ Alekseevich 4 Qin, Xinqiang 4 Sazhenkov, Sergey Alexandrovich 4 Strauss, Walter Alexander 4 Turbin, Mikhail V. 4 Wang, Zhan 4 Zhou, Chunhui 4 Zochowski, Antoni 3 Abels, Helmut 3 Bolle, Philippe 3 Bottazzi, Emanuele 3 Corsi, Livia 3 Frehse, Jens 3 Guyenne, Philippe 3 Hundertmark-Zaušková, Anna 3 Hur, Vera Mikyoung 3 Il’ichev, Andreĭ Teĭmurazovich 3 Jiang, Song 3 Kozlov, Vladimir A. 3 Kucher, N. A. 3 Kuznetsov, Nikolai Germanovich 3 Leoni, Giovanni 3 Li, Feifei 3 Mamontov, Aleksandr Evgen’evich 3 Nečasová, Šárka 3 Oliveras, Katie L. 3 Sakbaev, Vsevolod Zhanovich 3 Savaré, Giuseppe 3 Shargorodsky, Eugene 3 Starovoĭtova, Botagoz Nikolaevna 3 Steinhauer, Mark 3 Thanh, Bui Le Trong 3 Trichtchenko, Olga 3 Vasan, Vishal 3 Weigant, Wladimir 2 Akers, Benjamin F. 2 Allaire, Grégoire 2 Bertsch, Michiel 2 Burq, Nicolas 2 Chemetov, Nikolai V. 2 Chen, Gui-Qiang G. 2 Ciuperca, Ionel Sorin 2 Consiglieri, Luisa 2 Craig, Walter 2 Ćurković, Andrijana 2 Dapogny, Charles 2 De Silva, Daniela 2 Deng, Shengfu 2 Dinvay, Evgueni 2 Ehrnström, Mats 2 Fastovska, Tamara 2 Feppon, Florian 2 Ganghoffer, Jean-François 2 Garcke, Harald 2 Giuliani, Filippo 2 Gravina, Giovanni 2 Grébert, Benoît 2 Haus, Emanuele 2 Henrot, Antoine 2 Hsu, Hung-Chu 2 Hu, Xianpeng 2 Jabin, Pierre-Emmanuel ...and 312 more Authors
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### Cited in 129 Serials

 30 Journal of Differential Equations 27 Archive for Rational Mechanics and Analysis 16 Journal of Mathematical Fluid Mechanics 13 Journal of Fluid Mechanics 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Discrete and Continuous Dynamical Systems 7 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 SIAM Journal on Mathematical Analysis 6 Journal of Dynamics and Differential Equations 6 Journal of Mathematical Sciences (New York) 6 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 6 Nonlinear Analysis. Real World Applications 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Siberian Mathematical Journal 5 Physica D 5 Calculus of Variations and Partial Differential Equations 5 Doklady Mathematics 5 Communications on Pure and Applied Analysis 4 Communications in Mathematical Physics 4 Journal of Computational Physics 4 Journal of Mathematical Analysis and Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Nonlinear Science 4 Journal of Nonlinear Mathematical Physics 4 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Applicable Analysis 3 Computers & Mathematics with Applications 3 Nonlinearity 3 Applied Mathematics and Optimization 3 Inventiones Mathematicae 3 Journal of Functional Analysis 3 Journal of Optimization Theory and Applications 3 Quarterly of Applied Mathematics 3 SIAM Journal on Control and Optimization 3 Transactions of the American Mathematical Society 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Communications in Partial Differential Equations 3 Bulletin of the American Mathematical Society. New Series 3 Russian Mathematics 3 Boundary Value Problems 3 Proceedings of the Steklov Institute of Mathematics 3 Water Waves 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Theoretical and Mathematical Physics 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Duke Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Studies in Applied Mathematics 2 Applied Mathematics Letters 2 Computational Mathematics and Mathematical Physics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Applied Mechanics and Technical Physics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 European Journal of Mechanics. B. Fluids 2 Interfaces and Free Boundaries 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Fixed Point Theory and Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Evolution Equations and Control Theory 2 Bollettino dell’Unione Matematica Italiana 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Fluid Dynamics 1 Mathematical Notes 1 Wave Motion 1 Mathematics of Computation 1 Acta Mathematica 1 Algebra and Logic 1 Functional Analysis and its Applications 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Meccanica 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 European Journal of Applied Mathematics 1 Computational Mathematics and Modeling 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 Vestnik St. Petersburg University. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 St. Petersburg Mathematical Journal 1 Advances in Computational Mathematics 1 Izvestiya: Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences ...and 29 more Serials
all top 5

### Cited in 36 Fields

 301 Partial differential equations (35-XX) 249 Fluid mechanics (76-XX) 48 Mechanics of deformable solids (74-XX) 42 Dynamical systems and ergodic theory (37-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 18 Operator theory (47-XX) 18 Numerical analysis (65-XX) 18 Geophysics (86-XX) 13 Ordinary differential equations (34-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Functional analysis (46-XX) 5 Measure and integration (28-XX) 4 Mechanics of particles and systems (70-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)

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