# zbMATH — the first resource for mathematics

## Penel, Patrick

Compute Distance To:
 Author ID: penel.patrick Published as: Penel, Patrick; Penel, P.
 Documents Indexed: 68 Publications since 1973, including 5 Books
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#### Co-Authors

 3 single-authored 27 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 Foiaş, Ciprian Ilie 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 Zajączkowski, Wojciech M.
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#### Serials

 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Journal of Mathematical Fluid Mechanics 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
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#### Fields

 62 Partial differential equations (35-XX) 56 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)

#### Citations contained in zbMATH Open

49 Publications have been cited 424 times in 246 Documents Cited by Year
Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity. Zbl 1099.35101
Penel, Patrick; Pokorný, Milan
2004
An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity. Zbl 1050.35073
Neustupa, Jirí; Novotný, Antonín; Penel, Patrick
2002
Regularity of a suitable weak solution to the Navier-Stokes equations as a consequence of regularity of one velocity component. Zbl 0953.35113
Neustupa, Jiří; Penel, Patrick
1999
On anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations. Zbl 1270.35354
Penel, Patrick; Pokorný, Milan
2011
Anisotropic and geometric criteria for interior regularity of weak solutions to the 3D Navier-Stokes equations. Zbl 1027.35094
Neustupa, Jiří; Penel, Patrick
2001
Modified dissipativity for a non-linear evolution equation arising in turbulence. Zbl 0421.35037
Bardos, C.; Penel, P.; Frisch, U.; Sulem, P. L.
1979
A weak solvability of the Navier-Stokes equation with Navier’s boundary condition around a ball striking the wall. Zbl 1374.35286
Neustupa, Jiří; Penel, Patrick
2010
$$L^2$$ decay for weak solution to equations of non-Newtonian incompressible fluids in the whole space. Zbl 1042.76504
Nečasová, Š.; Penel, P.
2001
On a $$\nu$$-continuous family of strong solutions to the Euler or Navier-Stokes equations with the Navier-type boundary condition. Zbl 1200.35209
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2010
On the Navier-Stokes equation with boundary conditions based on vorticity. Zbl 1061.35073
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2004
Regularity of a weak solution to the Navier-Stokes equation in dependence on eigenvalues and eigenvectors of the rate of deformation tensor. Zbl 1078.35088
Neustupa, Jiří; Penel, Patrick
2005
Anisotropic $$L^2$$-estimates of weak solutions to the stationary Oseen-type equations in $$\mathbb R^3$$ for a rotating body. Zbl 1153.35060
Kračmar, S.; Nečasová, Š.; Penel, P.
2007
Anisotropic $$L^2$$-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body. Zbl 1186.35163
Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick
2010
On viscosity-continuous solutions of the Euler and Navier-Stokes equations with a Navier-type boundary condition. Zbl 1180.35405
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2009
Variational properties of a generic model equation in exterior 3D domains. Zbl 1114.35053
Kračmar, S.; Penel, P.
2004
Some remarks on the boundary conditions in the theory of Navier-Stokes equations. Zbl 1293.35232
Amrouche, Chérif; Penel, Patrick; Seloula, Nour
2013
On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions. Zbl 1119.35057
Neustupa, Jiří; Penel, Patrick
2007
New regularity results for a generic model equation in exterior 3D domains. Zbl 1101.35350
Kračmar, Stanislav; Penel, Patrick
2005
The Navier-Stokes equations with Navier’s boundary condition around moving bodies in presence of collisions. Zbl 1172.35057
Neustupa, Jiří; Penel, Patrick
2009
Improvement of some anisotropic regularity criteria for the Navier-Stokes equations. Zbl 1260.35127
Penel, Patrick; Pokorný, Milan
2013
A weak solution to the Navier-Stokes system with Navier’s boundary condition in a time-varying domain. Zbl 1338.35337
Neustupa, Jiří; Penel, Patrick
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 1239.76020
Kračmar, Stanislav; Krbec, Miroslav; Nečasová, Šárka; Penel, Patrick; Schumacher, Katrin
2009
The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier–Stokes equations. Zbl 1040.35075
Neustupa, Jiří; Penel, Patrick
2003
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 1205.35206
Neustupa, Jiří; Penel, Patrick
2010
$$L^q$$-approach to weak solutions of the Oseen flow around a rotating body. Zbl 1148.76017
Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick
2008
$$L^q$$-approach of weak solutions to stationary rotating Oseen equations in exterior domains. Zbl 1258.76058
Kračmar, S.; Necasová, S.; Penel, P.
2010
On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions. Zbl 1406.35236
Neustupa, Jiří; Penel, Patrick
2018
Identification of parameters in a nonlinear self-consistent system including a Burgers’ equation. Zbl 0287.35027
Brauner, C. M.; Penel, P.
1974
Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity. Zbl 1248.35149
Neustupa, Jiří; Penel, Patrick
2012
Sur une équation d’évolution non linéaire liee à la théorie de la turbulence. Zbl 0285.35015
Brauner, Claude-Michel; Penel, Patrick; Temam, Roger
1974
Sur une équation d’évolution non linéaire liee à la théorie de la turbulence. Zbl 0362.35045
Brauner, C. M.; Penel, P.; Temam, R.
1977
Regularity of a weak solution to the Navier-Stokes equations via one component of a spectral projection of vorticity. Zbl 1300.35078
Neustupa, Jiří; Penel, Patrick
2014
Remarks on the nonhomogeneous Oseen problem arising from modeling of the fluid around a rotating body. Zbl 1369.76059
Kračmar, S.; Nečasová, S.; Penel, P.
2008
Global behavior of compressible fluid with a free boundary and large data. Zbl 0953.35115
Penel, Patrick; Straškraba, Ivan
1999
Incompressible non-Newtonian fluids: time asymptotic behaviour of weak solutions. Zbl 1106.76010
Nečasová, Šárka; Penel, Patrick
2006
On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions. Zbl 1062.35072
Neustupa, Jiří; Penel, Patrick
2005
Lyapunov analysis and stabilization to the rest state for solutions to the 1D-barotropic compressible Navier-Stokes equations. Zbl 1152.35087
Penel, Patrick; Straškraba, Ivan
2007
Weighted $$L^2$$ and $$L^q$$ approaches to fluid flow past a rotating body. Zbl 1167.76048
Farwig, R.; Kračmar, S.; Krbec, M.; Nečasová, Š.; Penel, P.
2009
Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation. Zbl 1278.35181
Neustupa, Jiří; Penel, Patrick
2013
The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity. Zbl 1154.35069
Neustupa, Jiří; Penel, Patrick
2008
A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1206.35198
Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick
2010
A weak solvability to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1209.35100
Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick
2011
A certain weighted variant of the embedding inequalities. Zbl 1286.46038
Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick
2013
A remark on the well posedness of the problem of a steady flow of a viscous barotropic gas in a pipe. Zbl 0847.35110
Novotny, A.; Padula, M.; Penel, P.
1996
Investigation of the problem of the flow of a compressible viscous fluid past a bounded body in the Hölder classes of functions. Zbl 0982.76544
Novotny, A.; Penel, P.; Solonnikov, V. A.
1997
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 1101.35353
Neustupa, Jiří; Penel, Patrick
2005
Global behavior of one-dimensional compressible flows with vanishing viscosity near vacuums. Zbl 1062.35073
Penel, Patrick; Straškraba, Ivan
2003
Navier-Stokes equation with the generalized impermeability boundary conditions and initial data in domains of powers of the Stokes operator. Zbl 1127.35038
Kučera, Petr; Neustupa, Jiří; Penel, Patrick
2007
Very weak solutions to the rotating Stokes, Oseen and navier-stokes problems in weighted spaces. Zbl 1457.76061
Kračmar, S.; Krbec, M.; Nečasová, Š.; Penel, P.; Schumacher, K.
2016
On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions. Zbl 1406.35236
Neustupa, Jiří; Penel, Patrick
2018
A weak solution to the Navier-Stokes system with Navier’s boundary condition in a time-varying domain. Zbl 1338.35337
Neustupa, Jiří; Penel, Patrick
2016
Very weak solutions to the rotating Stokes, Oseen and navier-stokes problems in weighted spaces. Zbl 1457.76061
Kračmar, S.; Krbec, M.; Nečasová, Š.; Penel, P.; Schumacher, K.
2016
Regularity of a weak solution to the Navier-Stokes equations via one component of a spectral projection of vorticity. Zbl 1300.35078
Neustupa, Jiří; Penel, Patrick
2014
Some remarks on the boundary conditions in the theory of Navier-Stokes equations. Zbl 1293.35232
Amrouche, Chérif; Penel, Patrick; Seloula, Nour
2013
Improvement of some anisotropic regularity criteria for the Navier-Stokes equations. Zbl 1260.35127
Penel, Patrick; Pokorný, Milan
2013
Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation. Zbl 1278.35181
Neustupa, Jiří; Penel, Patrick
2013
A certain weighted variant of the embedding inequalities. Zbl 1286.46038
Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick
2013
Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity. Zbl 1248.35149
Neustupa, Jiří; Penel, Patrick
2012
On anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations. Zbl 1270.35354
Penel, Patrick; Pokorný, Milan
2011
A weak solvability to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1209.35100
Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick
2011
A weak solvability of the Navier-Stokes equation with Navier’s boundary condition around a ball striking the wall. Zbl 1374.35286
Neustupa, Jiří; Penel, Patrick
2010
On a $$\nu$$-continuous family of strong solutions to the Euler or Navier-Stokes equations with the Navier-type boundary condition. Zbl 1200.35209
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2010
Anisotropic $$L^2$$-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body. Zbl 1186.35163
Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick
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 1205.35206
Neustupa, Jiří; Penel, Patrick
2010
$$L^q$$-approach of weak solutions to stationary rotating Oseen equations in exterior domains. Zbl 1258.76058
Kračmar, S.; Necasová, S.; Penel, P.
2010
A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1206.35198
Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick
2010
On viscosity-continuous solutions of the Euler and Navier-Stokes equations with a Navier-type boundary condition. Zbl 1180.35405
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2009
The Navier-Stokes equations with Navier’s boundary condition around moving bodies in presence of collisions. Zbl 1172.35057
Neustupa, Jiří; Penel, Patrick
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 1239.76020
Kračmar, Stanislav; Krbec, Miroslav; Nečasová, Šárka; Penel, Patrick; Schumacher, Katrin
2009
Weighted $$L^2$$ and $$L^q$$ approaches to fluid flow past a rotating body. Zbl 1167.76048
Farwig, R.; Kračmar, S.; Krbec, M.; Nečasová, Š.; Penel, P.
2009
$$L^q$$-approach to weak solutions of the Oseen flow around a rotating body. Zbl 1148.76017
Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick
2008
Remarks on the nonhomogeneous Oseen problem arising from modeling of the fluid around a rotating body. Zbl 1369.76059
Kračmar, S.; Nečasová, S.; Penel, P.
2008
The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity. Zbl 1154.35069
Neustupa, Jiří; Penel, Patrick
2008
Anisotropic $$L^2$$-estimates of weak solutions to the stationary Oseen-type equations in $$\mathbb R^3$$ for a rotating body. Zbl 1153.35060
Kračmar, S.; Nečasová, Š.; Penel, P.
2007
On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions. Zbl 1119.35057
Neustupa, Jiří; Penel, Patrick
2007
Lyapunov analysis and stabilization to the rest state for solutions to the 1D-barotropic compressible Navier-Stokes equations. Zbl 1152.35087
Penel, Patrick; Straškraba, Ivan
2007
Navier-Stokes equation with the generalized impermeability boundary conditions and initial data in domains of powers of the Stokes operator. Zbl 1127.35038
Kučera, Petr; Neustupa, Jiří; Penel, Patrick
2007
Incompressible non-Newtonian fluids: time asymptotic behaviour of weak solutions. Zbl 1106.76010
Nečasová, Šárka; Penel, Patrick
2006
Regularity of a weak solution to the Navier-Stokes equation in dependence on eigenvalues and eigenvectors of the rate of deformation tensor. Zbl 1078.35088
Neustupa, Jiří; Penel, Patrick
2005
New regularity results for a generic model equation in exterior 3D domains. Zbl 1101.35350
Kračmar, Stanislav; Penel, Patrick
2005
On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions. Zbl 1062.35072
Neustupa, Jiří; Penel, Patrick
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 1101.35353
Neustupa, Jiří; Penel, Patrick
2005
Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity. Zbl 1099.35101
Penel, Patrick; Pokorný, Milan
2004
On the Navier-Stokes equation with boundary conditions based on vorticity. Zbl 1061.35073
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2004
Variational properties of a generic model equation in exterior 3D domains. Zbl 1114.35053
Kračmar, S.; Penel, P.
2004
The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier–Stokes equations. Zbl 1040.35075
Neustupa, Jiří; Penel, Patrick
2003
Global behavior of one-dimensional compressible flows with vanishing viscosity near vacuums. Zbl 1062.35073
Penel, Patrick; Straškraba, Ivan
2003
An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity. Zbl 1050.35073
Neustupa, Jirí; Novotný, Antonín; Penel, Patrick
2002
Anisotropic and geometric criteria for interior regularity of weak solutions to the 3D Navier-Stokes equations. Zbl 1027.35094
Neustupa, Jiří; Penel, Patrick
2001
$$L^2$$ decay for weak solution to equations of non-Newtonian incompressible fluids in the whole space. Zbl 1042.76504
Nečasová, Š.; Penel, P.
2001
Regularity of a suitable weak solution to the Navier-Stokes equations as a consequence of regularity of one velocity component. Zbl 0953.35113
Neustupa, Jiří; Penel, Patrick
1999
Global behavior of compressible fluid with a free boundary and large data. Zbl 0953.35115
Penel, Patrick; Straškraba, Ivan
1999
Investigation of the problem of the flow of a compressible viscous fluid past a bounded body in the Hölder classes of functions. Zbl 0982.76544
Novotny, A.; Penel, P.; Solonnikov, V. A.
1997
A remark on the well posedness of the problem of a steady flow of a viscous barotropic gas in a pipe. Zbl 0847.35110
Novotny, A.; Padula, M.; Penel, P.
1996
Modified dissipativity for a non-linear evolution equation arising in turbulence. Zbl 0421.35037
Bardos, C.; Penel, P.; Frisch, U.; Sulem, P. L.
1979
Sur une équation d’évolution non linéaire liee à la théorie de la turbulence. Zbl 0362.35045
Brauner, C. M.; Penel, P.; Temam, R.
1977
Identification of parameters in a nonlinear self-consistent system including a Burgers’ equation. Zbl 0287.35027
Brauner, C. M.; Penel, P.
1974
Sur une équation d’évolution non linéaire liee à la théorie de la turbulence. Zbl 0285.35015
Brauner, Claude-Michel; Penel, Patrick; Temam, Roger
1974
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#### Cited by 249 Authors

 24 Nečasová, Šárka 23 Penel, Patrick 20 Neustupa, Jiří 20 Zhang, Zujin 13 Skalák, Zdeněk 11 Kračmar, Stanislav 7 Chemetov, Nikolai V. 7 Deuring, Paul 7 Yamazaki, Kazuo 6 Dong, Boqing 6 Yao, Zhengan 5 Guo, Zhengguang 5 Huang, Jianhua 5 Qian, Chenyin 5 Shen, Tianlong 4 Al Baba, Hind 4 Amrouche, Chérif 4 Bae, Hyeong-Ohk 4 Farwig, Reinhard 4 Kaikina, Elena Igorevna 4 Kim, Jaemyoung 4 Kučera, Petr 4 Liu, Qiao 4 Muha, Boris 4 Naumkin, Pavel Ivanovich 4 Pokorný, Milan 4 Wu, Fan 4 Xiao, Yuelong 4 Xin, Zhouping 3 Barker, Tobias 3 Čanić, Sunčica 3 Chen, Zhimin 3 Han, Pigong 3 Hayashi, Nakao 3 Kang, Kyungkeun 3 Kreml, Ondřej 3 Kukavica, Igor 3 Mácha, Václav 3 Mallea-Zepeda, Exequiel 3 Medková, Dagmar 3 Miller, Evan 3 Novotný, Antonín 3 Wang, Yanqing 3 Wolf, Jörg 3 Wu, Gang 3 Zhong, Dingxing 3 Ziane, Mohammed 2 Albritton, Dallas 2 Beirão da Veiga, Hugo 2 Biler, Piotr 2 Christou, Marios Andreas 2 Cipriano, Fernanda 2 Darwich, Mohamad 2 Borges de Oliveira, Hermenegildo 2 Fang, Daoyuan 2 Fang, Li 2 Feireisl, Eduard 2 Gala, Sadek 2 Galdi, Giovanni Paolo 2 Gie, Gung-Min 2 Guo, Zhenhua 2 Hishida, Toshiaki 2 Kelliher, James P. 2 Krbec, Miroslav 2 Lee, Jihoon 2 Lenes, Eber 2 Li, Dong 2 Li, Shan 2 Li, Yafei 2 Li, Yin 2 Liu, Xin 2 Lu, Ming 2 Mazzucato, Anna L. 2 Muzereau, Olivier 2 Pineau, Benjamin 2 Qin, Yuming 2 Rojas-Medar, Marko Antonio 2 Rusin, Walter M. 2 Schumacher, Katrin 2 Shi, KeHua 2 Sophocleous, Christodoulos 2 Straškraba, Ivan 2 Wang, Yongjin 2 Wei, Ruiying 2 Wittwer, Peter 2 Woyczynski, Wojbor A. 2 Wróblewska-Kamińska, Aneta 2 Yang, Xi’an 2 Yu, Xinwei 2 Zhang, Yali 2 Zhou, Daoguo 2 Zhou, Yong 2 Zlotnik, Alexander A. 1 Alvelius, Krister 1 Alzahrani, Faris Saeed 1 Antontsev, Stanislav Nikolaevich 1 Arruda, Lynnyngs Kelly 1 Azérad, Pascal 1 Bae, Hantaek 1 Ballew, Joshua ...and 149 more Authors
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#### Cited in 79 Serials

 21 Journal of Mathematical Analysis and Applications 18 Journal of Mathematical Fluid Mechanics 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Journal of Differential Equations 11 Journal of Mathematical Physics 11 Nonlinear Analysis. Real World Applications 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Archive for Rational Mechanics and Analysis 7 Mathematical Methods in the Applied Sciences 7 Applied Mathematics Letters 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Applied Mathematics and Computation 5 Acta Applicandae Mathematicae 5 Applications of Mathematics 5 Discrete and Continuous Dynamical Systems 5 Abstract and Applied Analysis 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Computers & Mathematics with Applications 3 Mathematische Nachrichten 3 NoDEA. Nonlinear Differential Equations and Applications 3 Communications on Pure and Applied Analysis 2 Applicable Analysis 2 Nonlinearity 2 Annales Polonici Mathematici 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 Calculus of Variations and Partial Differential Equations 2 Mathematical Problems in Engineering 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Kinetic and Related Models 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 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 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 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 Stochastic Models 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Stochastics 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Differential Equations and Applications 1 Advances in Mathematical Physics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 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 Journal of Elliptic and Parabolic Equations 1 Proceedings of the American Mathematical Society. Series B 1 Electronic Research Archive
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#### Cited in 21 Fields

 234 Partial differential equations (35-XX) 199 Fluid mechanics (76-XX) 11 Real functions (26-XX) 9 Mechanics of deformable solids (74-XX) 8 Probability theory and stochastic processes (60-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Functional analysis (46-XX) 5 Numerical analysis (65-XX) 4 Operator theory (47-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-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)