## Journal of Mathematical Fluid Mechanics

 Short Title: J. Math. Fluid Mech. Publisher: Springer (Birkhäuser), Basel ISSN: 1422-6928; 1422-6952/e Online: http://link.springer.com/journal/volumesAndIssues/21 Comments: Indexed cover-to-cover
 Documents Indexed: 1,039 Publications (since 1999) References Indexed: 751 Publications with 21,416 References.
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### Authors

 15 Beirão da Veiga, Hugo 15 Finn, Robert Samuel 13 Galdi, Giovanni Paolo 12 Nečasová, Šárka 12 Neustupa, Jiří 11 Feireisl, Eduard 11 Friedlander, Susan Jean 11 Pileckas, Konstantin 10 Maremonti, Paolo 10 Nishida, Takaaki 10 Novotný, Antonín 9 Ionescu-Kruse, Delia 9 Seregin, Gregory A. 8 Deuring, Paul 8 Fuchs, Martin 8 Pokorný, Milan 8 Wu, Jiahong 7 Heywood, John G. 7 Iooss, Gérard 7 Kagei, Yoshiyuki 7 Renardy, Michael 7 Ströhmer, Gerhard 7 Titi, Edriss Saleh 7 Xin, Zhouping 6 Bae, Hyeong-Ohk 6 Berselli, Luigi Carlo 6 Chae, Dongho 6 Farwig, Reinhard 6 Padula, Mariarosaria 6 Rusin, Walter M. 6 Russo, Remigio 6 Shibata, Yoshihiro 6 Skalák, Zdeněk 6 Yoneda, Tsuyoshi 5 Bhatnagar, Rajat 5 Bresch, Didier 5 Chen, Zhimin 5 Crispo, Francesca 5 Dias, João-Paulo 5 Ducomet, Bernard 5 Escher, Joachim 5 Fan, Jishan 5 Figueira, Mário S. R. 5 Jin, Bumja 5 Kang, Kyungkeun 5 Kyed, Mads 5 Maekawa, Yasunori 5 Nazarov, Sergeĭ Aleksandrovich 5 Secchi, Paolo 5 Takahashi, Takéo 5 Wang, Yanqing 5 Wittwer, Peter 5 Zajączkowski, Wojciech M. 5 Zhou, Yong 4 Abels, Helmut 4 Antontsev, Stanislav Nikolaevich 4 Barker, Tobias 4 Bildhauer, Michael 4 Breit, Dominic 4 Chen, Robin Ming 4 Dai, Mimi 4 Dong, Hongjie 4 Giga, Yoshikazu 4 Grujić, Zoran 4 Guenther, Ronald B. 4 Henry, David 4 Hsu, Hung-Chu 4 Kohr, Mirela 4 Kukavica, Igor 4 Kweon, Jae Ryong 4 Martin, Calin-Iulian 4 Marynets, Kateryna 4 Mohan, Manil Thankamani 4 Rannacher, Rolf 4 Růžička, Michael 4 Sequeira, Adélia 4 Shvydkoy, Roman V. 4 Sohr, Hermann 4 Teramoto, Yoshiaki 4 Teramoto, Yuka 4 Thomann, Enrique A. 4 Vogel, Thomas Irvin 4 Wendland, Wolfgang L. 4 Wolf, Jörg 4 Ye, Zhuan 4 Yu, Yanghai 4 Zhai, Xiaoping 4 Zhao, Kun 3 Abbatiello, Anna 3 Amirat, Youcef Aït 3 Arnol’d, Vladimir Igorevich 3 Bradshaw, Zachary 3 Braz e Silva, Pablo 3 Cheskidov, Alexey 3 Choe, Hi Jun 3 Choi, Young-Pil 3 Chu, Jifeng 3 Climent-Ezquerra, Blanca 3 Constantin, Adrian 3 Danchin, Raphaël ...and 1,046 more Authors
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### Fields

 943 Fluid mechanics (76-XX) 886 Partial differential equations (35-XX) 50 Geophysics (86-XX) 44 Numerical analysis (65-XX) 35 Dynamical systems and ergodic theory (37-XX) 35 Mechanics of deformable solids (74-XX) 27 Classical thermodynamics, heat transfer (80-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 Biology and other natural sciences (92-XX) 16 Real functions (26-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Operator theory (47-XX) 15 Differential geometry (53-XX) 15 Probability theory and stochastic processes (60-XX) 14 Systems theory; control (93-XX) 12 Ordinary differential equations (34-XX) 11 Functional analysis (46-XX) 10 History and biography (01-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 5 Potential theory (31-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 3 Approximations and expansions (41-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

776 Publications have been cited 7,871 times in 5,362 Documents Cited by Year
On the existence of globally defined weak solutions to the Navier-Stokes equations. Zbl 0997.35043
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2001
On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129
Ladyzhenskaya, O. A.; Seregin, G. A.
1999
Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system. Zbl 1256.35054
Feireisl, Eduard; Jin, Bum Ja; Novotný, Antonín
2012
Global regularity for a class of generalized magnetohydrodynamic equations. Zbl 1270.35371
Wu, Jiahong
2011
Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate. Zbl 1080.74024
Chambolle, Antonin; Desjardins, Benoît; Esteban, Maria J.; Grandmont, Céline
2005
On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107
Amann, Herbert
2000
Weak-strong uniqueness for the isentropic compressible Navier-Stokes system. Zbl 1270.35342
Germain, Pierre
2011
Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations. Zbl 1270.35339
Fan, Jishan; Jiang, Song; Nakamura, Gen; Zhou, Yong
2011
Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations. Zbl 1085.35097
Brenier, Y.
2005
Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity. Zbl 1151.76426
Wolf, Jörg
2007
On the existence of strong solutions to a coupled fluid-structure evolution problem. Zbl 1068.35087
Beirão da Veiga, H.
2004
Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion. Zbl 1327.35314
Chae, Dongho; Wan, Renhui; Wu, Jiahong
2015
Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions. Zbl 0970.35096
Gunzburger, Max D.; Lee, Hyung-Chun; Seregin, Gregory A.
2000
Sharp inviscid limit results under Navier-type boundary conditions. An $$L^p$$ theory. Zbl 1261.35099
Beirão da Veiga, H.; Crispo, Francesca
2010
Compressible flow in a half-space with Navier boundary conditions. Zbl 1095.35025
Hoff, David
2005
Existence of global weak solution for compressible fluid models of Korteweg type. Zbl 1270.35366
Haspot, Boris
2011
Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid. Zbl 1054.35061
Takahashi, Takéo; Tucsnak, Marius
2004
Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044
Seregin, G. A.
2002
Strong solutions for generalized Newtonian fluids. Zbl 1080.76005
Diening, Lars; Ružička, Michael
2005
Particle trajectories in linear water waves. Zbl 1162.76316
Constantin, Adrian; Villari, Gabriele
2008
Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118
Berselli, Luigi C.; Diening, Lars; Ružička, Michael
2010
Mathematical perspectives on large eddy simulation models for turbulent flows. Zbl 1094.76030
Guermond, J.-L.; Oden, J. T.; Prudhomme, S.
2004
A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
2006
Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity? Zbl 1409.35047
Winkler, Michael
2018
Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. Zbl 1308.35165
Jiu, Quansen; Wang, Yi; Xin, Zhouping
2014
Instability of equatorial water waves with an underlying current. Zbl 1308.76035
Genoud, François; Henry, David
2014
Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities. Zbl 1273.76421
Abels, Helmut; Depner, Daniel; Garcke, Harald
2013
Local existence and finite-time blow-up in multidimensional radiation hydrodynamics. Zbl 1133.76043
Zhong, Xinhua; Jiang, Song
2007
Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations. Zbl 1293.35236
Craig, Walter; Huang, Xiangdi; Wang, Yun
2013
Stabilizability of two-dimensional Navier-Stokes equations with help of a boundary feedback control. Zbl 0983.93021
Fursikov, A. V.
2001
Navier-Stokes equations: controllability by means of low modes forcing. Zbl 1075.93014
Agrachev, Andrey A.; Sarychev, Andrey V.
2005
Density-dependent incompressible fluids in bounded domains. Zbl 1142.76354
Danchin, R.
2006
Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity. Zbl 0992.35066
Giga, Y.; Matsui, S.; Sawada, O.
2001
Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field. Zbl 1334.35202
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S.
2016
Concerning the $$W^{k,p}$$-inviscid limit for 3-D flows under a slip boundary condition. Zbl 1270.35333
Beirão da Veiga, H.; Crispo, F.
2011
Boundary regularity of shear thickening flows. Zbl 1270.35360
Beirão da Veiga, Hugo; Kaplický, Petr; Ružička, Michael
2011
On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics. Zbl 1327.76074
Jiang, Fei; Jiang, Song
2015
A decay property of the Fourier transform and its application to the Stokes problem. Zbl 1102.35300
Shibata, Yoshihiro; Shimizu, Senjo
2001
Existence of a solution “in the large” for ocean dynamics equations. Zbl 1132.35443
Kobelkov, Georgy M.
2007
On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations. Zbl 1064.76118
Gunzburger, M. D.; Ladyzhenskaya, O. A.; Peterson, J. S.
2004
On two-dimensional magnetic Bénard problem with mixed partial viscosity. Zbl 1329.35245
Cheng, Jianfeng; Du, Lili
2015
Strong well-posedness for a Korteweg-type model for the dynamics of a compressible non-isothermal fluid. Zbl 1270.76063
Kotschote, Matthias
2010
On anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations. Zbl 1270.35354
Penel, Patrick; Pokorný, Milan
2011
Regularity criteria of MHD system involving one velocity and one current density component. Zbl 1307.35237
Yamazaki, Kazuo
2014
On the rate of decay of the Oseen semigroup in exterior domains and its application to Navier-Stokes equation. Zbl 1094.35097
Enomoto, Yuko; Shibata, Yoshihiro
2005
Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping. Zbl 1162.76393
Marcati, Pierangelo; Mei, Ming; Rubino, Bruno
2005
Existence for a three-dimensional steady-state fluid-structure interaction problem. Zbl 1009.76016
Grandmont, Céline
2002
On a Serrin-type regularity criterion for the Navier-Stokes equations in terms of the pressure. Zbl 1131.35060
Struwe, Michael
2007
Existence of weak solutions for the three-dimensional motion of an elastic structure in an incompressible fluid. Zbl 1171.74337
Boulakia, Muriel
2007
Steady states of anisotropic generalized Newtonian fluids. Zbl 1162.76375
Apushkinskaya, Darya; Bildhauer, Michael; Fuchs, Martin
2005
Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D. Zbl 1284.35307
Ding, Shijin; Li, Yinghua; Luo, Wanglong
2013
Local well-posedness and blowup criterion of the Boussinesq equations in critical Besov spaces. Zbl 1195.76136
Xiaofeng, Liu; Wang, Meng; Zhang, Zhifei
2010
An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations. Zbl 0980.35129
Neustupa, Jiří; Pokorný, Milan
2000
A sufficient condition on the pressure for the regularity of weak solutions to the Navier-Stokes equations. Zbl 0970.35105
Beirão da Veiga, Hugo
2000
On the existence of the pressure for solutions of the variational Navier-Stokes equations. Zbl 0961.35107
Simon, Jacques
1999
The Navier-Stokes equations in nonendpoint borderline Lorentz spaces. Zbl 1326.35249
Phuc, Nguyen Cong
2015
On classical solutions to 2D shallow water equations with degenerate viscosities. Zbl 1369.35065
Li, Yachun; Pan, Ronghua; Zhu, Shengguo
2017
A note on the exterior two-dimensional steady-state Navier-Stokes problem. Zbl 1186.35148
Russo, Antonio
2009
Random data Cauchy theory for the generalized incompressible Navier-Stokes equations. Zbl 1294.35076
Zhang, Ting; Fang, Daoyuan
2012
On the smoothness of a class of weak solutions to the Navier-Stokes equations. Zbl 0972.35089
Beirão da Veiga, Hugo
2000
A remark on $$L^{\infty}$$ solutions to the 2-D Navier-Stokes equations. Zbl 1132.35437
Sawada, Okihiro; Taniuchi, Yasushi
2007
On regularity criteria for the 2D generalized MHD system. Zbl 1342.76028
Jiang, Zaihong; Wang, Yanan; Zhou, Yong
2016
The fundamental solution of the linearized Navier-Stokes equations for spinning bodies in three spatial dimensions-time dependent case. Zbl 1125.35076
Thomann, Enrique A.; Guenther, Ronald B.
2006
Maximal $$L^p$$-$$L^ q$$-estimates for the Stokes equation: a short proof of Solonnikov’s theorem. Zbl 1261.35120
Geissert, Matthias; Hess, Matthias; Hieber, Matthias; Schwarz, Céline; Stavrakidis, Kyriakos
2010
Global existence for the generalized two-component Hunter-Saxton system. Zbl 1255.35188
Wu, Hao; Wunsch, Marcus
2012
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
Bingham viscoplastic as a limit of non-Newtonian fluids. Zbl 1002.35097
Shelukhin, V. V.
2002
Well-posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains. Zbl 1335.60108
Debbi, Latifa
2016
Nearly-Hamiltonian structure for water waves with constant vorticity. Zbl 1162.76315
Constantin, Adrian; Ivanov, Rossen I.; Prodanov, Emil M.
2008
The zero surface tension limit of two-dimensional interfacial Darcy flow. Zbl 1308.76260
Ambrose, David M.
2014
A nonlocal shallow-water model arising from the full water waves with the Coriolis effect. Zbl 1416.35205
Gui, Guilong; Liu, Yue; Sun, Junwei
2019
Global regularity and time decay for the 2D magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion. Zbl 1406.35269
Dong, Bo-Qing; Jia, Yan; Li, Jingna; Wu, Jiahong
2018
Infinite energy solutions for damped Navier-Stokes equations in $${\mathbb{R}^2}$$. Zbl 1293.35221
Zelik, Sergey
2013
Decay in time of incompressible flows. Zbl 1048.35060
Kreiss, Heinz-Otto; Hagstrom, Thomas; Lorenz, Jens; Zingano, Paulo
2003
The Liouville theorem for the steady-state Navier-Stokes problem for axially symmetric 3D solutions in absence of swirl. Zbl 1328.35151
Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio
2015
On regularity criteria for the 3D incompressible MHD equations involving one velocity component. Zbl 1334.35240
Jia, Xuanji; Zhou, Yong
2016
Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary. Zbl 1190.35174
Beirão da Veiga, H.
2009
Global weak solutions to equations of motion for magnetic fluids. Zbl 1162.76408
Amirat, Youcef; Hamdache, Kamel; Murat, François
2008
Maximal dissipation and well-posedness for the compressible Euler system. Zbl 1308.35190
Feireisl, Eduard
2014
An exact solution for nonlinear internal equatorial waves in the $$f$$-plane approximation. Zbl 1308.76054
Hsu, Hung-Chu
2014
Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition. Zbl 1256.35068
Wang, Lizhen; Xin, Zhouping; Zang, Aibin
2012
Sharp conditions for Korn inequalities in Orlicz spaces. Zbl 1280.35106
Breit, Dominic; Diening, Lars
2012
The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system. Zbl 1214.76008
Feireisl, Eduard; Novotný, Antonin
2009
Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary. Zbl 1213.76047
Beirão da Veiga, H.
2009
Weak solutions for a class of non-Newtonian fluids with energy transfer. Zbl 0974.35090
Consiglieri, Luisa
2000
Global well-posedness for the 3D incompressible Hall-magnetohydrodynamic equations with Fujita-Kato type initial data. Zbl 1414.35177
Wan, Renhui; Zhou, Yong
2019
Global classical solutions for MHD system. Zbl 1037.76068
Casella, Emanuala; Secchi, Paolo; Trebeschi, Paola
2003
About the regularized Navier-Stokes equations. Zbl 1096.35099
Cannone, Marco; Karch, Grzegorz
2005
Singular limits of Voigt models in fluid dynamics. Zbl 1328.35167
Coti Zelati, Michele; Gal, Ciprian G.
2015
The nonlinear Stokes problem with general potentials having superquadratic growth. Zbl 1270.35335
Breit, Dominic; Fuchs, Martin
2011
Effect of density dependent viscosities on multiphasic incompressible fluid models. Zbl 1220.35114
Bresch, Didier; Essoufi, El Hassan; Sy, Mamadou
2007
Variants of the Stokes problem: the case of anisotropic potentials. Zbl 1072.76019
Bildhauer, Michael; Fuchs, Martin
2003
Global Cauchy problem for the 2-D magnetohydrodynamic-$$\alpha$$ models with partial viscous terms. Zbl 1195.76428
Fan, Jishan; Ozawa, Tohru
2010
Well-posedness of the generalized Proudman-Johnson equation without viscosity. Zbl 1162.76311
Okamoto, Hisashi
2009
Existence of solutions with the prescribed flux of the Navier-Stokes system in an infinite cylinder. Zbl 1111.35038
Pileckas, K.
2006
Pressure in a deep-water Stokes wave. Zbl 1270.76014
Henry, David
2011
A weak-$$L^p$$ Prodi-Serrin type regularity criterion for the Navier-Stokes equations. Zbl 1307.35186
Bosia, Stefano; Pata, Vittorino; Robinson, James C.
2014
Incompressible limit for the compressible flow of liquid crystals. Zbl 1309.35094
Wang, Dehua; Yu, Cheng
2014
Modular nonlinear filter stabilization of methods for higher Reynolds numbers flow. Zbl 1294.76197
Layton, William; Rebholz, Leo G.; Trenchea, Catalin
2012
Local null controllability of the $$N$$-dimensional Navier-Stokes system with $$N - 1$$ scalar controls in an arbitrary control domain. Zbl 1278.35173
Carreño, N.; Guerrero, S.
2013
Compressible fluids interacting with plates: regularity and weak-strong uniqueness. Zbl 07638220
Trifunović, Srđan
2023
The shallow-water models with cubic nonlinearity. Zbl 1490.35303
Chen, Robin Ming; Hu, Tianqiao; Liu, Yue
2022
An explicit threshold for the appearance of lift on the deck of a bridge. Zbl 1481.35311
Gazzola, Filippo; Patriarca, Clara
2022
On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term. Zbl 07451596
Bresch, D.; Gisclon, M.; Lacroix-Violet, I.; Vasseur, A.
2022
Global well-posedness to the 3D Cauchy problem of nonhomogeneous heat conducting Navier-Stokes equations with vacuum and large oscillations. Zbl 1492.76039
Zhong, Xin
2022
A single-component BKM-type regularity criterion for the inviscid axially symmetric Hall-MHD system. Zbl 1481.35338
Li, Zijin; Pan, Xinghong
2022
A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 07481805
Seregin, G.
2022
Homogenization and low Mach number limit of compressible Navier-Stokes equations in critically perforated domains. Zbl 1494.76061
Bella, Peter; Oschmann, Florian
2022
Global well-posedness for the three-dimensional full compressible viscous non-resistive MHD system. Zbl 1484.76091
Li, Yang
2022
Resolvent estimates for a compressible fluid model of Korteweg type and their application. Zbl 1481.35333
Kobayashi, Takayuki; Murata, Miho; Saito, Hirokazu
2022
Global strong solution to the two-dimensional full compressible Navier-Stokes equations with large viscosity. Zbl 07462207
Li, Hao; Shang, Zhaoyang
2022
Existence and exponential behavior for the stochastic 2D Cahn-Hilliard-Oldroyd model of order one. Zbl 07462209
Deugoué, G.; Jidjou Moghomye, B.; Tachim Medjo, T.
2022
Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains. Zbl 07514296
Oschmann, Florian
2022
On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle. Zbl 1490.76081
Eiter, Thomas
2022
On the local pressure expansion for the Navier-Stokes equations. Zbl 07425737
Bradshaw, Zachary; Tsai, Tai-Peng
2022
The global solvability of 3-d inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density. Zbl 07425738
Xu, Fuyi; Qiao, Liening; Fu, Peng
2022
On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations-rigorous justification. Zbl 1492.35182
Gao, Hongjun; Nečasová, Šárka; Tang, Tong
2022
Wave breaking for a nonlinear shallow water equation. Zbl 07569655
Zhao, Jianmin; Yang, Shaojie
2022
Weak-strong uniqueness for the Navier-Stokes equation for two fluids with ninety degree contact angle and same viscosities. Zbl 1496.35279
Hensel, Sebastian; Marveggio, Alice
2022
On weak-strong uniqueness for stochastic equations of incompressible fluid flow. Zbl 1494.76007
Chaudhary, Abhishek; Koley, Ujjwal
2022
On the effect of fast rotation and vertical viscosity on the lifespan of the $$3D$$ Primitive equations. Zbl 1491.35342
Lin, Quyuan; Liu, Xin; Titi, Edriss S.
2022
Characterization of three-dimensional Euler flows supported on finitely many Fourier modes. Zbl 1492.35206
Kishimoto, Nobu; Yoneda, Tsuyoshi
2022
Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport. Zbl 1496.76116
Lukáčová-Medvid&rsquo;ová, Mária; Schömer, Andreas
2022
Dyadic models for ideal MHD. Zbl 1490.35306
Dai, Mimi; Friedlander, Susan
2022
Asymptotic behavior of weak solutions to the inhomogeneous Navier-Stokes equations. Zbl 07488933
Han, Pigong; Liu, Chenggang; Lei, Keke; Wang, Xuewen
2022
A note on local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 07488936
Seregin, G.
2022
Navier-Stokes flow past a rigid body that moves by time-periodic motion. Zbl 1497.76023
Galdi, Giovanni P.
2022
Uniqueness and bifurcation branches for planar steady Navier-Stokes equations under Navier boundary conditions. Zbl 1468.35104
Arioli, Gianni; Gazzola, Filippo; Koch, Hans
2021
Dissipative solutions to compressible Navier-Stokes equations with general inflow-outflow data: existence, stability and weak strong uniqueness. Zbl 1497.76068
Kwon, Young-Sam; Novotny, Antonin
2021
A uniqueness result for 3D incompressible fluid-rigid body interaction problem. Zbl 1460.35296
Muha, Boris; Nečasová, Šárka; Radošević, Ana
2021
On the Jordan-Moore-Gibson-Thompson wave equation in hereditary fluids with quadratic gradient nonlinearity. Zbl 1458.35347
Nikolić, Vanja; Said-Houari, Belkacem
2021
Analytical atmospheric Ekman-type solutions with height-dependent eddy viscosities. Zbl 1458.76119
Ionescu-Kruse, Delia
2021
Discretely self-similar solutions for 3D MHD equations and global weak solutions in weighted $$L^2$$ spaces. Zbl 1461.35181
Fernández-Dalgo, Pedro Gabriel; Jarrín, Oscar
2021
Wentzell-Freidlin large deviation principle for stochastic convective Brinkman-Forchheimer equations. Zbl 1467.60049
Mohan, Manil T.
2021
Global dynamics of 3-D compressible micropolar fluids with vacuum and large oscillations. Zbl 1455.76159
Huang, Bingkang; Liu, Lvqiao; Zhang, Lan
2021
Global strong solutions of Navier-Stokes equations for heat-conducting compressible fluids with vacuum at infinity. Zbl 1458.76085
Liang, Zhilei
2021
Spatial behaviour of solutions of the Moore-Gibson-Thompson equation. Zbl 1493.76088
Ostoja-Starzewski, M.; Quintanilla, R.
2021
Viscous flow around a rigid body performing a time-periodic motion. Zbl 1460.35255
Eiter, Thomas; Kyed, Mads
2021
Non-uniform dependence on initial data for the Camassa-Holm equation in the critical Besov space. Zbl 1460.35291
Li, Jinlu; Wu, Xing; Yu, Yanghai; Zhu, Weipeng
2021
Uniqueness result for the 3-D Navier-Stokes-Boussinesq equations with horizontal dissipation. Zbl 1476.76019
Dreyfuss, Pierre; Houamed, Haroune
2021
Dispersive estimates for full dispersion KP equations. Zbl 1458.35083
Pilod, Didier; Saut, Jean-Claude; Selberg, Sigmund; Tesfahun, Achenef
2021
Refactorization of Cauchy’s method: a second-order partitioned method for fluid-thick structure interaction problems. Zbl 1477.65155
Bukač, Martina; Seboldt, Anyastassia; Trenchea, Catalin
2021
Dissipative solutions to the stochastic Euler equations. Zbl 1471.60096
Breit, D.; Moyo, T. C.
2021
A fully space-time least-squares method for the unsteady Navier-Stokes system. Zbl 1475.76073
Lemoine, Jérôme; Münch, Arnaud
2021
$$L^p$$ theory for the interaction between the incompressible Navier-Stokes system and a damped plate. Zbl 1479.35687
Maity, Debayan; Takahashi, Takéo
2021
Perturbation analysis for the surface deflection angle of Ekman-type flows with variable eddy viscosity. Zbl 1471.34051
Roberti, Luigi
2021
Uniqueness of dissipative solutions to the complete Euler system. Zbl 1460.35271
Ghoshal, Shyam Sundar; Jana, Animesh
2021
On a non-conservative compressible two-fluid model in a bounded domain: global existence and uniqueness. Zbl 1470.76102
Wang, Yinghui; Wen, Huanyao; Yao, Lei
2021
Relative decay conditions on Liouville type theorem for the steady Navier-Stokes system. Zbl 1460.35251
Chae, Dongho
2021
The 3D time-dependent Oseen system: link between $$L^p$$-integrability in time and pointwise decay in space of the velocity. Zbl 1471.76025
Deuring, Paul
2021
Nonlinear stability of planar vortex patches in an ideal fluid. Zbl 1467.76032
Cao, Daomin; Wang, Guodong
2021
Mild criticality breaking for the Navier-Stokes equations. Zbl 07364481
Barker, Tobias; Prange, Christophe
2021
Low Mach number limit of the non-isentropic ideal magnetohydrodynamic equations. Zbl 1480.76157
Li, Fucai; Zhang, Shuxing
2021
On 3D Hall-MHD equations with fractional Laplacians: global well-posedness. Zbl 1479.35705
Zhang, Huali; Zhao, Kun
2021
Variational formulation of rotational steady water waves in two-layer flows. Zbl 1480.76013
Chu, Jifeng; Ding, Qixing; Escher, Joachim
2021
On conditional regularity for the MHD equations via partial components. Zbl 1468.35136
Guo, Zhengguang; Li, Yafei; Skalák, Zdenĕk
2021
Global well-posedness for the three-dimensional generalized Phan-Thien-Tanner model in critical Besov spaces. Zbl 1467.76008
Chen, Yuhui; Li, Minling; Yao, Qinghe; Yao, Zheng-an
2021
Semiflow selection to models of general compressible viscous fluids. Zbl 1455.76158
Basarić, Danica
2021
Concentration and cavitation in the vanishing pressure limit of solutions to a simplified isentropic relativistic Euler equations. Zbl 1458.35322
Zhang, Yu; Pang, Yicheng
2021
Global well-posedness for inhomogeneous Navier-Stokes equations in endpoint critical Besov spaces. Zbl 1462.35250
Ri, Myong-Hwan
2021
Stability of non-constant equilibrium solutions for the full compressible Navier-Stokes-Maxwell system. Zbl 1460.35282
Feng, Yue-Hong; Li, Xin; Wang, Shu
2021
Singular limit in Hopf bifurcation for doubly diffusive convection equations. II: Bifurcation and stability. Zbl 1467.76026
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2021
Singular limit in Hopf bifurcation for doubly diffusive convection equations. I: Linearized analysis at criticality. Zbl 1467.76027
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2021
Time-periodic weak solutions to incompressible generalized Newtonian fluids. Zbl 1472.35282
Abbatiello, Anna
2021
A Hopf bifurcation in the planar Navier-Stokes equations. Zbl 1489.76014
Arioli, Gianni; Koch, Hans
2021
Global well-posedness of the ocean primitive equations with nonlinear thermodynamics. Zbl 1479.35674
Korn, Peter
2021
New regularity criteria for weak solutions to the MHD equations in terms of an associated pressure. Zbl 1479.35691
Neustupa, Jiří; Yang, Minsuk
2021
Global classical solutions and stabilization in a two-dimensional parabolic-elliptic Keller-Segel-Stokes system. Zbl 1472.35058
Zheng, Jiashan
2021
Weighted energy estimates for the incompressible Navier-Stokes equations and applications to axisymmetric solutions without swirl. Zbl 1479.35610
Fernández-Dalgo, Pedro Gabriel; Lemarié-Rieusset, Pierre Gilles
2021
Constant vorticity Ekman flows in the $$\beta$$-plane approximation. Zbl 1471.76086
Wang, JinRong; Fečkan, Michal; Guan, Yi
2021
Loss of regularity for the 2D Euler equations. Zbl 1493.76011
Jeong, In-Jee
2021
Quantitative transfer of regularity of the incompressible Navier-Stokes equations from $$\mathbb{R}^3$$ to the case of a bounded domain. Zbl 1476.76020
Ożański, W. S.
2021
Stability and exponential decay for the 2D anisotropic Navier-Stokes equations with horizontal dissipation. Zbl 1487.35287
Dong, Boqing; Wu, Jiahong; Xu, Xiaojing; Zhu, Ning
2021
Nonlinear differential equations modeling the Antarctic circumpolar current. Zbl 1480.76149
Chu, Jifeng; Marynets, Kateryna
2021
Non-uniform dependence on initial data for the generalized Camassa-Holm-Novikov equation in Besov space. Zbl 1477.35023
Wu, Xing; Yu, Yanghai; Xiao, Yu
2021
On bounds for steady waves with negative vorticity. Zbl 1464.76013
Lokharu, Evgeniy
2021
Sharp interface limit of a Stokes/Cahn-Hilliard system. II: Approximate solutions. Zbl 1470.76101
Abels, Helmut; Marquardt, Andreas
2021
On the explicit solutions of separation of variables type for the incompressible 2D Euler equations. Zbl 1465.35337
Saleva, Tomi; Tuomela, Jukka
2021
Locally space-time anisotropic regularity criteria for the Navier-Stokes equations in terms of two vorticity components. Zbl 1466.35289
Skalak, Zdenek
2021
Variable eddy viscosities in the atmospheric boundary layer from ageostrophic wind-speed profiles. Zbl 1464.76206
Lyons, Tony
2021
Study of an elliptic partial differential equation modeling the ocean flow in arctic gyres. Zbl 1468.35138
Haziot, Susanna V.
2021
Pullback attractors for non-Newtonian fluids with shear dependent viscosity. Zbl 1460.35048
López-Lázaro, Heraclio Ledgar; Marín-Rubio, Pedro; Planas, Gabriela
2021
Existence of a stationary Navier-Stokes flow past a rigid body, with application to starting problem in higher dimensions. Zbl 1460.35265
Takahashi, Tomoki
2021
Stochastic tamed Navier-Stokes equations on $$\mathbb{R}^3$$: the existence and the uniqueness of solutions and the existence of an invariant measure. Zbl 1439.60058
Brzeźniak, Zdzisław; Dhariwal, Gaurav
2020
On the coupling of kinetic thermomechanical Cucker-Smale equation and compressible viscous fluid system. Zbl 1429.35173
Choi, Young-Pil; Ha, Seung-Yeal; Jung, Jinwook; Kim, Jeongho
2020
Boundedness in a chemotaxis-(Navier-)Stokes system modeling coral fertilization with slow $$p$$-Laplacian diffusion. Zbl 1433.35425
Liu, Ji
2020
New regularity criteria based on pressure or gradient of velocity in Lorentz spaces for the 3D Navier-Stokes equations. Zbl 1433.76033
Ji, Xiang; Wang, Yanqing; Wei, Wei
2020
Well-posedness of a diffuse interface model for Hele-Shaw flows. Zbl 1435.35297
Giorgini, Andrea
2020
Global smooth axisymmetic solutions of the Boussinesq equations for magnetohydrodynamics convection. Zbl 1433.35258
Bian, Dongfen; Pu, Xueke
2020
Maximum principle for some optimal control problems governed by 2D nonlocal Cahn-Hillard-Navier-Stokes equations. Zbl 1440.49003
Biswas, Tania; Dharmatti, Sheetal; Mohan, Manil T.
2020
Local existence of strong solutions of a fluid-structure interaction model. Zbl 1452.35154
Mitra, Sourav
2020
The Stokes limit in a three-dimensional chemotaxis-Navier-Stokes system. Zbl 1433.35259
Black, Tobias
2020
Homogenization of Stokes equations in perforated domains: a unified approach. Zbl 1447.35032
Lu, Yong
2020
Non-uniform dependence for the Novikov equation in Besov spaces. Zbl 1448.35402
Li, Jinlu; Li, Min; Zhu, Weipeng
2020
A Sturm-Liouville problem arising in the atmospheric boundary-layer dynamics. Zbl 1453.34028
Marynets, Kateryna
2020
Global regularity of the three-dimensional fractional micropolar equations. Zbl 1434.35122
Wang, Dehua; Wu, Jiahong; Ye, Zhuan
2020
Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data. Zbl 1436.35273
Bradshaw, Zachary; Kukavica, Igor
2020
Time evolution of concentrated vortex rings. Zbl 1433.76029
Buttà, Paolo; Marchioro, Carlo
2020
Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain. Zbl 1433.76039
Lequeurre, Julien; Munnier, Alexandre
2020
On the well-posedness of reduced $$3D$$ primitive geostrophic adjustment model with weak dissipation. Zbl 1440.35263
Cao, Chongsheng; Lin, Quyuan; Titi, Edriss S.
2020
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### Cited by 3,983 Authors

 77 Nečasová, Šárka 75 Feireisl, Eduard 56 Fan, Jishan 47 Novotný, Antonín 45 Tan, Zhong 40 Zhou, Yong 38 Xin, Zhouping 36 Takahashi, Takéo 35 Martin, Calin-Iulian 34 Farwig, Reinhard 34 Wu, Jiahong 34 Zhong, Xin 33 Zhang, Zujin 31 Gala, Sadek 31 Pileckas, Konstantin 30 Seregin, Gregory A. 28 Li, Fucai 28 Yamazaki, Kazuo 27 Beirão da Veiga, Hugo 27 Berselli, Luigi Carlo 27 Titi, Edriss Saleh 27 Zhu, Changjiang 26 Galdi, Giovanni Paolo 26 Kim, Jaemyoung 26 Maremonti, Paolo 25 Breit, Dominic 25 Jiang, Song 25 Neustupa, Jiří 25 Pokorný, Milan 24 Kang, Kyungkeun 24 Růžička, Michael 23 Ducomet, Bernard 23 Xu, Xiaojing 22 Wang, Yanqing 22 Wen, Huanyao 21 Bresch, Didier 21 Henry, David 21 Ionescu-Kruse, Delia 21 Jin, Bumja 21 Jiu, Quansen 21 Mácha, Václav 21 Tang, Tong 21 Wolf, Jörg 21 Yao, Zhengan 20 Jiang, Fei 20 Kreml, Ondřej 20 Matioc, Bogdan-Vasile 19 Amrouche, Chérif 19 Bae, Hyeong-Ohk 19 Chae, Dongho 19 Dong, Boqing 19 Hieber, Matthias 19 Liu, Qiao 19 Mohan, Manil Thankamani 19 Wang, Weiwei 19 Zhang, Ting 18 Deuring, Paul 18 Gao, Hongjun 18 Hillairet, Matthieu 18 Málek, Josef 18 Muha, Boris 18 Wang, Dehua 18 Ye, Zhuan 18 Zhang, Zhifei 17 Guo, Zhengguang 17 Kwon, Young-Sam 17 Shibata, Yoshihiro 17 Zatorska, Ewelina 17 Zhai, Xiaoping 17 Zhang, Jianwen 17 Zvyagin, Viktor Grigor’evich 16 Fang, Daoyuan 16 Fuchs, Martin 16 Guo, Boling 16 Guo, Zhenhua 16 Kukavica, Igor 16 Maekawa, Yasunori 16 Mucha, Piotr Bogusław 16 Yang, Minsuk 16 Yuan, Baoquan 16 Zhu, Mingxuan 15 Abels, Helmut 15 Bulíček, Miroslav 15 Choe, Hi Jun 15 Giga, Yoshikazu 15 Han, Pigong 15 Hsu, Hung-Chu 15 Huang, Xiangdi 15 Kohr, Mirela 15 Li, Yeping 15 Nakamura, Gen 15 Qin, Yuming 15 Ragusa, Maria Alessandra 15 Rebholz, Leo G. 15 Zhu, Shengguo 14 Crispo, Francesca 14 Dai, Mimi 14 Borges de Oliveira, Hermenegildo 14 Layton, William J. 14 Liu, Yang ...and 3,883 more Authors
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### Cited in 406 Journals

 413 Journal of Mathematical Fluid Mechanics 396 Journal of Differential Equations 250 Journal of Mathematical Analysis and Applications 171 Archive for Rational Mechanics and Analysis 166 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 144 Nonlinear Analysis. Real World Applications 135 ZAMP. Zeitschrift für angewandte Mathematik und Physik 111 SIAM Journal on Mathematical Analysis 106 Discrete and Continuous Dynamical Systems 99 Journal of Mathematical Physics 80 Mathematical Methods in the Applied Sciences 80 Applied Mathematics Letters 76 Applicable Analysis 72 Journal of Evolution Equations 68 Communications on Pure and Applied Analysis 67 Communications in Mathematical Physics 64 Nonlinearity 63 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 63 Boundary Value Problems 62 Computers & Mathematics with Applications 59 Acta Applicandae Mathematicae 54 Journal de Mathématiques Pures et Appliquées. Neuvième Série 54 Journal of Mathematical Sciences (New York) 52 Journal of Fluid Mechanics 48 Communications in Partial Differential Equations 48 Discrete and Continuous Dynamical Systems. Series B 47 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 45 Journal of Functional Analysis 43 Applied Mathematics and Computation 42 Physica D 41 Calculus of Variations and Partial Differential Equations 40 Acta Mathematica Scientia. Series B. (English Edition) 39 Journal of Nonlinear Science 33 Monatshefte für Mathematik 31 Applied Mathematics and Optimization 31 Comptes Rendus. Mathématique. Académie des Sciences, Paris 30 Journal of Computational Physics 30 Mathematische Annalen 30 Applications of Mathematics 30 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 29 Advances in Mathematics 29 Discrete and Continuous Dynamical Systems. Series S 28 Computer Methods in Applied Mechanics and Engineering 27 Annali di Matematica Pura ed Applicata. Serie Quarta 27 Proceedings of the American Mathematical Society 27 Quarterly of Applied Mathematics 27 NoDEA. Nonlinear Differential Equations and Applications 27 Evolution Equations and Control Theory 25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 25 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 24 Journal of Scientific Computing 24 Journal of Dynamics and Differential Equations 23 Science China. Mathematics 22 Chinese Annals of Mathematics. Series B 22 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 21 Computers and Fluids 21 Transactions of the American Mathematical Society 21 Acta Mathematicae Applicatae Sinica. English Series 20 Abstract and Applied Analysis 19 Journal of Computational and Applied Mathematics 18 Asymptotic Analysis 18 Journal of Elliptic and Parabolic Equations 16 Journal of Nonlinear Mathematical Physics 16 Kinetic and Related Models 16 Advances in Mathematical Physics 15 SIAM Journal on Control and Optimization 15 Advances in Nonlinear Analysis 14 Journal of the Mathematical Society of Japan 14 Numerische Mathematik 14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 14 Computational and Applied Mathematics 14 European Journal of Mechanics. B. Fluids 14 Journal of Hyperbolic Differential Equations 14 AIMS Mathematics 13 Mathematische Nachrichten 13 SIAM Journal on Numerical Analysis 13 Electronic Journal of Differential Equations (EJDE) 13 Acta Mathematica Sinica. English Series 12 Physics of Fluids 12 Analysis and Applications (Singapore) 12 SN Partial Differential Equations and Applications 11 Wave Motion 11 Manuscripta Mathematica 11 Communications in Nonlinear Science and Numerical Simulation 11 Annals of PDE 10 Inventiones Mathematicae 10 Japan Journal of Industrial and Applied Mathematics 10 Doklady Mathematics 10 Mathematical Physics, Analysis and Geometry 10 Communications in Contemporary Mathematics 10 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 9 Journal of Statistical Physics 9 Czechoslovak Mathematical Journal 9 Results in Mathematics 9 Zeitschrift für Analysis und ihre Anwendungen 9 SIAM Journal on Scientific Computing 9 St. Petersburg Mathematical Journal 9 Analysis & PDE 8 Mathematics of Computation 8 Archiv der Mathematik ...and 306 more Journals
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