Edit Profile (opens in new tab) Penel, Patrick Co-Author Distance Author ID: penel.patrick Published as: Penel, Patrick; Penel, P. Documents Indexed: 65 Publications since 1973, including 1 Book 4 Contributions as Editor Co-Authors: 32 Co-Authors with 66 Joint Publications 983 Co-Co-Authors all top 5 Co-Authors 3 single-authored 28 Neustupa, Jiří 14 Nečasová, Šárka 11 Kračmar, Stanislav 6 Brauner, Claude-Michel 4 Straškraba, Ivan 3 Bellout, Hamid 3 Farwig, Reinhard 3 Krbec, Miroslav 3 Muzereau, Olivier 3 Novotný, Antonín 3 Pokorný, Milan 3 Temam, Roger Meyer 2 Bardos, Claude Williams 2 Schumacher, Katrin 2 Sulem, Pierre-Louis 1 Amrouche, Chérif 1 Borne, Pierre 1 Cordier, P. 1 Croc, Elisabeth 1 Danchin, Raphaël 1 Duflos, Emmanuel 1 Foiaș, Ciprian 1 Kučera, Petr 1 Mucha, Piotr Bogusław 1 Padula, Mariarosaria 1 Pelissier, Marie-Claude 1 Seloula, Nour El Houda 1 Solonnikov, Vsevolod Alekseevich 1 Vanheeghe, Philippe 1 Wiegner, Michael 1 Yang, Minsuk 1 Zajączkowski, Wojciech M. all top 5 Serials 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Mathematical Fluid Mechanics 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 2 Mathematische Nachrichten 2 RIMS Kôkyûroku Bessatsu 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Boletim da Sociedade Brasileira de Matemática 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of the Mathematical Society of Japan 1 Quarterly of Applied Mathematics 1 Mathematical Modelling 1 Acta Applicandae Mathematicae 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Far East Journal of Applied Mathematics 1 Journal of Concrete and Applicable Mathematics 1 Banach Center Publications 1 Contemporary Mathematics 1 Advances in Mathematical Physics 1 Advances in Mathematical Fluid Mechanics all top 5 Fields 63 Partial differential equations (35-XX) 57 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-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 51 Publications have been cited 552 times in 309 Documents Cited by ▼ Year ▼ Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity. Zbl 1099.35101Penel, Patrick; Pokorný, Milan 79 2004 An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity. Zbl 1050.35073Neustupa, Jirí; Novotný, Antonín; Penel, Patrick 59 2002 Regularity of a suitable weak solution to the Navier-Stokes equations as a consequence of regularity of one velocity component. Zbl 0953.35113Neustupa, Jiří; Penel, Patrick 47 1999 Anisotropic and geometric criteria for interior regularity of weak solutions to the 3D Navier-Stokes equations. Zbl 1027.35094Neustupa, Jiří; Penel, Patrick 36 2001 On anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations. Zbl 1270.35354Penel, Patrick; Pokorný, Milan 30 2011 Modified dissipativity for a non-linear evolution equation arising in turbulence. Zbl 0421.35037Bardos, C.; Penel, P.; Frisch, U.; Sulem, P. L. 24 1979 A weak solvability of the Navier-Stokes equation with Navier’s boundary condition around a ball striking the wall. Zbl 1374.35286Neustupa, Jiří; Penel, Patrick 21 2010 Regularity of a weak solution to the Navier-Stokes equation in dependence on eigenvalues and eigenvectors of the rate of deformation tensor. Zbl 1078.35088Neustupa, Jiří; Penel, Patrick 21 2005 \(L^2\) decay for weak solution to equations of non-Newtonian incompressible fluids in the whole space. Zbl 1042.76504Nečasová, Š.; Penel, P. 20 2001 On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions. Zbl 1406.35236Neustupa, Jiří; Penel, Patrick 15 2018 On the Navier-Stokes equation with boundary conditions based on vorticity. Zbl 1061.35073Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 14 2004 On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions. Zbl 1119.35057Neustupa, Jiří; Penel, Patrick 13 2007 On a \(\nu\)-continuous family of strong solutions to the Euler or Navier-Stokes equations with the Navier-type boundary condition. Zbl 1200.35209Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 12 2010 The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier–Stokes equations. Zbl 1040.35075Neustupa, Jiří; Penel, Patrick 12 2003 Anisotropic \(L^2\)-estimates of weak solutions to the stationary Oseen-type equations in \(\mathbb R^3\) for a rotating body. Zbl 1153.35060Kračmar, S.; Nečasová, Š.; Penel, P. 10 2007 Anisotropic \(L^2\)-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body. Zbl 1186.35163Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick 10 2010 On viscosity-continuous solutions of the Euler and Navier-Stokes equations with a Navier-type boundary condition. Zbl 1180.35405Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 9 2009 Some remarks on the boundary conditions in the theory of Navier-Stokes equations. Zbl 1293.35232Amrouche, Chérif; Penel, Patrick; Seloula, Nour 9 2013 The Navier-Stokes equations with Navier’s boundary condition around moving bodies in presence of collisions. Zbl 1172.35057Neustupa, Jiří; Penel, Patrick 8 2009 Variational properties of a generic model equation in exterior 3D domains. Zbl 1114.35053Kračmar, S.; Penel, P. 8 2004 Improvement of some anisotropic regularity criteria for the Navier-Stokes equations. Zbl 1260.35127Penel, Patrick; Pokorný, Milan 8 2013 New regularity results for a generic model equation in exterior 3D domains. Zbl 1101.35350Kračmar, Stanislav; Penel, Patrick 7 2005 \(L^q\)-approach of weak solutions to stationary rotating Oseen equations in exterior domains. Zbl 1258.76058Kračmar, S.; Necasová, S.; Penel, P. 6 2010 Local in time strong solvability of the non-steady Navier-Stokes equations with Navier’s boundary condition and the question of the inviscid limit. (Solutions fortes vérifiant des conditions aux limites de Navier pour les équations de Navier-Stokes non stationnaires, et la question de leur limite inviscide.) Zbl 1205.35206Neustupa, Jiří; Penel, Patrick 6 2010 \(L^q\)-approach to weak solutions of the Oseen flow around a rotating body. Zbl 1148.76017Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick 6 2008 A weak solution to the Navier-Stokes system with Navier’s boundary condition in a time-varying domain. Zbl 1338.35337Neustupa, Jiří; Penel, Patrick 6 2016 An \(L^{q}\)-approach with generalized anisotropic weights of the weak solution of the Oseen flow around a rotating body in the whole space. Zbl 1239.76020Kračmar, Stanislav; Krbec, Miroslav; Nečasová, Šárka; Penel, Patrick; Schumacher, Katrin 5 2009 Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity. Zbl 1248.35149Neustupa, Jiří; Penel, Patrick 5 2012 Regularity of a weak solution to the Navier-Stokes equations via one component of a spectral projection of vorticity. Zbl 1300.35078Neustupa, Jiří; Penel, Patrick 5 2014 Incompressible non-Newtonian fluids: time asymptotic behaviour of weak solutions. Zbl 1106.76010Nečasová, Šárka; Penel, Patrick 4 2006 Identification of parameters in a nonlinear self-consistent system including a Burgers’ equation. Zbl 0287.35027Brauner, C. M.; Penel, P. 4 1974 Sur une équation d’évolution non linéaire liee à la théorie de la turbulence. Zbl 0285.35015Brauner, Claude-Michel; Penel, Patrick; Temam, Roger 3 1974 On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions. Zbl 1062.35072Neustupa, Jiří; Penel, Patrick 3 2005 Sur une équation d’évolution non linéaire liee à la théorie de la turbulence. Zbl 0362.35045Brauner, C. M.; Penel, P.; Temam, R. 3 1977 Weighted \(L^2\) and \(L^q\) approaches to fluid flow past a rotating body. Zbl 1167.76048Farwig, R.; Kračmar, S.; Krbec, M.; Nečasová, Š.; Penel, P. 2 2009 Estimates up to the boundary of a weak solution to the Navier-Stokes equation in a cube in dependence on eigenvalues of the rate of deformation tensor. Zbl 1101.35353Neustupa, Jiří; Penel, Patrick 2 2005 Lyapunov analysis and stabilization to the rest state for solutions to the 1D-barotropic compressible Navier-Stokes equations. Zbl 1152.35087Penel, Patrick; Straškraba, Ivan 2 2007 Remarks on the nonhomogeneous Oseen problem arising from modeling of the fluid around a rotating body. Zbl 1369.76059Kračmar, S.; Nečasová, S.; Penel, P. 2 2008 Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation. Zbl 1278.35181Neustupa, Jiří; Penel, Patrick 2 2013 A remark on the well posedness of the problem of a steady flow of a viscous barotropic gas in a pipe. Zbl 0847.35110Novotny, A.; Padula, M.; Penel, P. 2 1996 Global behavior of compressible fluid with a free boundary and large data. Zbl 0953.35115Penel, Patrick; Straškraba, Ivan 2 1999 A certain weighted variant of the embedding inequalities. Zbl 1286.46038Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick 1 2013 A weak solvability to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1209.35100Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick 1 2011 A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1206.35198Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick 1 2010 The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity. Zbl 1154.35069Neustupa, Jiří; Penel, Patrick 1 2008 Navier-Stokes equation with the generalized impermeability boundary conditions and initial data in domains of powers of the Stokes operator. Zbl 1127.35038Kučera, Petr; Neustupa, Jiří; Penel, Patrick 1 2007 Mathematical analysis in fluid mechanics: selected recent results. International conference on vorticity, rotation and symmetry (IV) – complex fluids and the issue of regularity, CIRM, Luminy, Marseille, France, May 8–12, 2017. Proceedings. Zbl 1396.35001 1 2018 Very weak solutions to the rotating Stokes, Oseen and navier-stokes problems in weighted spaces. Zbl 1457.76061Kračmar, S.; Krbec, M.; Nečasová, Š.; Penel, P.; Schumacher, K. 1 2016 Investigation of the problem of the flow of a compressible viscous fluid past a bounded body in the Hölder classes of functions. Zbl 0982.76544Novotny, A.; Penel, P.; Solonnikov, V. A. 1 1997 Mathematical fluid mechanics. Recent results and open questions. Zbl 0971.00052 1 2001 Global behavior of one-dimensional compressible flows with vanishing viscosity near vacuums. Zbl 1062.35073Penel, Patrick; Straškraba, Ivan 1 2003 On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions. Zbl 1406.35236Neustupa, Jiří; Penel, Patrick 15 2018 Mathematical analysis in fluid mechanics: selected recent results. International conference on vorticity, rotation and symmetry (IV) – complex fluids and the issue of regularity, CIRM, Luminy, Marseille, France, May 8–12, 2017. Proceedings. Zbl 1396.35001 1 2018 A weak solution to the Navier-Stokes system with Navier’s boundary condition in a time-varying domain. Zbl 1338.35337Neustupa, Jiří; Penel, Patrick 6 2016 Very weak solutions to the rotating Stokes, Oseen and navier-stokes problems in weighted spaces. Zbl 1457.76061Kračmar, S.; Krbec, M.; Nečasová, Š.; Penel, P.; Schumacher, K. 1 2016 Regularity of a weak solution to the Navier-Stokes equations via one component of a spectral projection of vorticity. Zbl 1300.35078Neustupa, Jiří; Penel, Patrick 5 2014 Some remarks on the boundary conditions in the theory of Navier-Stokes equations. Zbl 1293.35232Amrouche, Chérif; Penel, Patrick; Seloula, Nour 9 2013 Improvement of some anisotropic regularity criteria for the Navier-Stokes equations. Zbl 1260.35127Penel, Patrick; Pokorný, Milan 8 2013 Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation. Zbl 1278.35181Neustupa, Jiří; Penel, Patrick 2 2013 A certain weighted variant of the embedding inequalities. Zbl 1286.46038Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick 1 2013 Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity. Zbl 1248.35149Neustupa, Jiří; Penel, Patrick 5 2012 On anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations. Zbl 1270.35354Penel, Patrick; Pokorný, Milan 30 2011 A weak solvability to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1209.35100Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick 1 2011 A weak solvability of the Navier-Stokes equation with Navier’s boundary condition around a ball striking the wall. Zbl 1374.35286Neustupa, Jiří; Penel, Patrick 21 2010 On a \(\nu\)-continuous family of strong solutions to the Euler or Navier-Stokes equations with the Navier-type boundary condition. Zbl 1200.35209Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 12 2010 Anisotropic \(L^2\)-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body. Zbl 1186.35163Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick 10 2010 \(L^q\)-approach of weak solutions to stationary rotating Oseen equations in exterior domains. Zbl 1258.76058Kračmar, S.; Necasová, S.; Penel, P. 6 2010 Local in time strong solvability of the non-steady Navier-Stokes equations with Navier’s boundary condition and the question of the inviscid limit. (Solutions fortes vérifiant des conditions aux limites de Navier pour les équations de Navier-Stokes non stationnaires, et la question de leur limite inviscide.) Zbl 1205.35206Neustupa, Jiří; Penel, Patrick 6 2010 A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1206.35198Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick 1 2010 On viscosity-continuous solutions of the Euler and Navier-Stokes equations with a Navier-type boundary condition. Zbl 1180.35405Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 9 2009 The Navier-Stokes equations with Navier’s boundary condition around moving bodies in presence of collisions. Zbl 1172.35057Neustupa, Jiří; Penel, Patrick 8 2009 An \(L^{q}\)-approach with generalized anisotropic weights of the weak solution of the Oseen flow around a rotating body in the whole space. Zbl 1239.76020Kračmar, Stanislav; Krbec, Miroslav; Nečasová, Šárka; Penel, Patrick; Schumacher, Katrin 5 2009 Weighted \(L^2\) and \(L^q\) approaches to fluid flow past a rotating body. Zbl 1167.76048Farwig, R.; Kračmar, S.; Krbec, M.; Nečasová, Š.; Penel, P. 2 2009 \(L^q\)-approach to weak solutions of the Oseen flow around a rotating body. Zbl 1148.76017Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick 6 2008 Remarks on the nonhomogeneous Oseen problem arising from modeling of the fluid around a rotating body. Zbl 1369.76059Kračmar, S.; Nečasová, S.; Penel, P. 2 2008 The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity. Zbl 1154.35069Neustupa, Jiří; Penel, Patrick 1 2008 On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions. Zbl 1119.35057Neustupa, Jiří; Penel, Patrick 13 2007 Anisotropic \(L^2\)-estimates of weak solutions to the stationary Oseen-type equations in \(\mathbb R^3\) for a rotating body. Zbl 1153.35060Kračmar, S.; Nečasová, Š.; Penel, P. 10 2007 Lyapunov analysis and stabilization to the rest state for solutions to the 1D-barotropic compressible Navier-Stokes equations. Zbl 1152.35087Penel, Patrick; Straškraba, Ivan 2 2007 Navier-Stokes equation with the generalized impermeability boundary conditions and initial data in domains of powers of the Stokes operator. Zbl 1127.35038Kučera, Petr; Neustupa, Jiří; Penel, Patrick 1 2007 Incompressible non-Newtonian fluids: time asymptotic behaviour of weak solutions. Zbl 1106.76010Nečasová, Šárka; Penel, Patrick 4 2006 Regularity of a weak solution to the Navier-Stokes equation in dependence on eigenvalues and eigenvectors of the rate of deformation tensor. Zbl 1078.35088Neustupa, Jiří; Penel, Patrick 21 2005 New regularity results for a generic model equation in exterior 3D domains. Zbl 1101.35350Kračmar, Stanislav; Penel, Patrick 7 2005 On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions. Zbl 1062.35072Neustupa, Jiří; Penel, Patrick 3 2005 Estimates up to the boundary of a weak solution to the Navier-Stokes equation in a cube in dependence on eigenvalues of the rate of deformation tensor. Zbl 1101.35353Neustupa, Jiří; Penel, Patrick 2 2005 Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity. Zbl 1099.35101Penel, Patrick; Pokorný, Milan 79 2004 On the Navier-Stokes equation with boundary conditions based on vorticity. Zbl 1061.35073Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 14 2004 Variational properties of a generic model equation in exterior 3D domains. Zbl 1114.35053Kračmar, S.; Penel, P. 8 2004 The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier–Stokes equations. Zbl 1040.35075Neustupa, Jiří; Penel, Patrick 12 2003 Global behavior of one-dimensional compressible flows with vanishing viscosity near vacuums. Zbl 1062.35073Penel, Patrick; Straškraba, Ivan 1 2003 An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity. Zbl 1050.35073Neustupa, Jirí; Novotný, Antonín; Penel, Patrick 59 2002 Anisotropic and geometric criteria for interior regularity of weak solutions to the 3D Navier-Stokes equations. Zbl 1027.35094Neustupa, Jiří; Penel, Patrick 36 2001 \(L^2\) decay for weak solution to equations of non-Newtonian incompressible fluids in the whole space. Zbl 1042.76504Nečasová, Š.; Penel, P. 20 2001 Mathematical fluid mechanics. Recent results and open questions. Zbl 0971.00052 1 2001 Regularity of a suitable weak solution to the Navier-Stokes equations as a consequence of regularity of one velocity component. Zbl 0953.35113Neustupa, Jiří; Penel, Patrick 47 1999 Global behavior of compressible fluid with a free boundary and large data. Zbl 0953.35115Penel, Patrick; Straškraba, Ivan 2 1999 Investigation of the problem of the flow of a compressible viscous fluid past a bounded body in the Hölder classes of functions. Zbl 0982.76544Novotny, A.; Penel, P.; Solonnikov, V. A. 1 1997 A remark on the well posedness of the problem of a steady flow of a viscous barotropic gas in a pipe. Zbl 0847.35110Novotny, A.; Padula, M.; Penel, P. 2 1996 Modified dissipativity for a non-linear evolution equation arising in turbulence. Zbl 0421.35037Bardos, C.; Penel, P.; Frisch, U.; Sulem, P. L. 24 1979 Sur une équation d’évolution non linéaire liee à la théorie de la turbulence. Zbl 0362.35045Brauner, C. M.; Penel, P.; Temam, R. 3 1977 Identification of parameters in a nonlinear self-consistent system including a Burgers’ equation. Zbl 0287.35027Brauner, C. M.; Penel, P. 4 1974 Sur une équation d’évolution non linéaire liee à la théorie de la turbulence. Zbl 0285.35015Brauner, Claude-Michel; Penel, Patrick; Temam, Roger 3 1974 all cited Publications top 5 cited Publications all top 5 Cited by 305 Authors 25 Nečasová, Šárka 24 Penel, Patrick 22 Neustupa, Jiří 21 Zhang, Zujin 15 Skalák, Zdeněk 11 Kračmar, Stanislav 11 Wu, Fan 9 Kim, Jaemyoung 7 Chemetov, Nikolai V. 7 Deuring, Paul 7 Guo, Zhengguang 7 Yamazaki, Kazuo 6 Dong, Boqing 6 Huang, Jianhua 6 Pokorný, Milan 6 Shen, Tianlong 6 Yao, Zhengan 5 Farwig, Reinhard 5 Gala, Sadek 5 Kučera, Petr 5 Kukavica, Igor 5 Qian, Chenyin 5 Ragusa, Maria Alessandra 5 Xiao, Yuelong 5 Xin, Zhouping 4 Al Baba, Hind 4 Amrouche, Chérif 4 Bae, Hyeong-Ohk 4 Barker, Tobias 4 Galdi, Giovanni Paolo 4 Kaikina, Elena Igorevna 4 Kang, Kyungkeun 4 Liu, Qiao 4 Muha, Boris 4 Naumkin, Pavel Ivanovich 4 Ziane, Mohammed 3 Čanić, Sunčica 3 Chen, Zhimin 3 Fang, Li 3 Han, Pigong 3 Hayashi, Nakao 3 Kreml, Ondřej 3 Liu, Xin 3 Mácha, Václav 3 Mallea-Zepeda, Exequiel 3 Medková, Dagmar 3 Miller, Evan 3 Novotný, Antonín 3 Rusin, Walter M. 3 Wang, Yanqing 3 Wolf, Jörg 3 Wu, Gang 3 Yang, Minsuk 3 Zhong, Dingxing 3 Zhou, Yong 2 Albritton, Dallas 2 Baranovskiĭ, Evgeniĭ Sergeevich 2 Beirão da Veiga, Hugo 2 Biler, Piotr 2 Chae, Dongho 2 Christou, Marios Andreas 2 Cipriano, Fernanda 2 Darwich, Mohamad 2 Borges de Oliveira, Hermenegildo 2 Fang, Daoyuan 2 Feireisl, Eduard 2 Gie, Gung-Min 2 Guo, Zhenhua 2 Hishida, Toshiaki 2 Kelliher, James P. 2 Kim, Dugyu 2 Ko, Seungchan 2 Krbec, Miroslav 2 Kyed, Mads 2 Lee, Jihoon 2 Lenes, Eber 2 Li, Dong 2 Li, Peng 2 Li, Shan 2 Li, Yafei 2 Li, Yin 2 Lu, Ming 2 Mazzucato, Anna L. 2 Muzereau, Olivier 2 O, Chol-Jun 2 Ożański, Wojciech Sławomir 2 Pineau, Benjamin 2 Qin, Yuming 2 Ri, Myong-Hwan 2 Rojas-Medar, Marko Antonio 2 Schumacher, Katrin 2 Shi, KeHua 2 Sin, Cholmin 2 Sophocleous, Christodoulos 2 Straškraba, Ivan 2 Tan, Zhong 2 Wang, Yongjin 2 Wei, Ruiying 2 Wittwer, Peter 2 Woyczynski, Wojbor A. ...and 205 more Authors all top 5 Cited in 97 Serials 23 Journal of Mathematical Fluid Mechanics 22 Journal of Mathematical Analysis and Applications 17 Journal of Differential Equations 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Nonlinear Analysis. Real World Applications 14 Journal of Mathematical Physics 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Applied Mathematics Letters 8 Archive for Rational Mechanics and Analysis 7 Mathematical Methods in the Applied Sciences 7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 6 Applied Mathematics and Computation 6 Applications of Mathematics 5 Acta Applicandae Mathematicae 5 Discrete and Continuous Dynamical Systems 5 Abstract and Applied Analysis 4 Nonlinearity 4 Journal of Evolution Equations 3 Computers & Mathematics with Applications 3 Mathematische Nachrichten 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Mathematical Problems in Engineering 3 Communications on Pure and Applied Analysis 3 Evolution Equations and Control Theory 3 AIMS Mathematics 2 Applicable Analysis 2 Annales Polonici Mathematici 2 Applied Mathematics and Optimization 2 Journal of the Mathematical Society of Japan 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Revista Matemática Iberoamericana 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Kinetic and Related Models 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Elliptic and Parabolic Equations 1 Computer Methods in Applied Mechanics and Engineering 1 Lithuanian Mathematical Journal 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Journal of Integral Equations and Applications 1 Mathematica Bohemica 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis 1 Physics of Fluids 1 Annales Mathématiques Blaise Pascal 1 Bulletin des Sciences Mathématiques 1 Doklady Mathematics 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Differential Equations 1 Mathematical Modelling and Analysis 1 Stochastic Models 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Analysis in Theory and Applications 1 Analysis and Applications (Singapore) 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Boundary Value Problems 1 Stochastics 1 Mathematical Modelling of Natural Phenomena 1 Banach Journal of Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Differential Equations and Applications 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Bulletin of Mathematical Sciences 1 ISRN Applied Mathematics 1 Communications in Mathematics and Statistics 1 Advances in Nonlinear Analysis 1 Journal of Function Spaces 1 Nonlinear Analysis. Theory, Methods & Applications 1 Proceedings of the American Mathematical Society. Series B 1 Pure and Applied Analysis 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications all top 5 Cited in 21 Fields 296 Partial differential equations (35-XX) 258 Fluid mechanics (76-XX) 14 Mechanics of deformable solids (74-XX) 12 Real functions (26-XX) 9 Probability theory and stochastic processes (60-XX) 7 Functional analysis (46-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year