## 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: 951 Publications (since 1999) References Indexed: 663 Publications with 18,798 References.
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### Latest Issues

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### Authors

 15 Beirão da Veiga, Hugo 15 Finn, Robert S. 12 Galdi, Giovanni Paolo 11 Friedlander, Susan Jean 11 Neustupa, Jiří 10 Nečasová, Šárka 10 Nishida, Takaaki 10 Novotný, Antonín 10 Pileckas, Konstantin 9 Feireisl, Eduard 9 Ionescu-Kruse, Delia 9 Seregin, Gregory A. 8 Deuring, Paul 8 Fuchs, Martin 8 Maremonti, Paolo 8 Wu, Jiahong 7 Heywood, John G. 7 Iooss, Gérard 7 Kagei, Yoshiyuki 7 Renardy, Michael 7 Ströhmer, Gerhard 6 Bae, Hyeong-Ohk 6 Berselli, Luigi Carlo 6 Chae, Dongho 6 Padula, Mariarosaria 6 Pokorný, Milan 6 Rusin, Walter M. 6 Russo, Remigio 6 Skalák, Zdeněk 6 Titi, Edriss Saleh 6 Xin, Zhouping 5 Bhatnagar, Rajat 5 Crispo, Francesca 5 Dias, João-Paulo 5 Ducomet, Bernard 5 Escher, Joachim 5 Fan, Jishan 5 Farwig, Reinhard 5 Figueira, Mário S. R. 5 Jin, Bumja 5 Kyed, Mads 5 Nazarov, Sergeĭ Aleksandrovich 5 Secchi, Paolo 5 Shibata, Yoshihiro 5 Takahashi, Takéo 5 Wittwer, Peter 5 Zhou, Yong 4 Abels, Helmut 4 Antontsev, Stanislav Nikolaevich 4 Barker, Tobias 4 Bildhauer, Michael 4 Breit, Dominic 4 Bresch, Didier 4 Chen, Robin Ming 4 Chen, Zhimin 4 Dong, Hongjie 4 Giga, Yoshikazu 4 Grujić, Zoran 4 Guenther, Ronald B. 4 Henry, David 4 Hsu, Hung-Chu 4 Kohr, Mirela 4 Kozlov, Vladimir A. 4 Kukavica, Igor 4 Kweon, Jae Ryong 4 Maekawa, Yasunori 4 Martin, Calin-Iulian 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 Wang, Yanqing 4 Wendland, Wolfgang L. 4 Wolf, Jörg 4 Ye, Zhuan 4 Yoneda, Tsuyoshi 4 Zajączkowski, Wojciech M. 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 Constantin, Adrian 3 Dai, Mimi 3 Danchin, Raphaël 3 Degond, Pierre 3 Diening, Lars 3 Dong, Boqing ...and 945 more Authors
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### Fields

 858 Fluid mechanics (76-XX) 791 Partial differential equations (35-XX) 43 Geophysics (86-XX) 41 Numerical analysis (65-XX) 33 Dynamical systems and ergodic theory (37-XX) 33 Mechanics of deformable solids (74-XX) 22 Classical thermodynamics, heat transfer (80-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 16 Biology and other natural sciences (92-XX) 15 Operator theory (47-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Probability theory and stochastic processes (60-XX) 13 Differential geometry (53-XX) 13 Systems theory; control (93-XX) 12 Real functions (26-XX) 12 Ordinary differential equations (34-XX) 11 Functional analysis (46-XX) 10 History and biography (01-XX) 7 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 Quantum theory (81-XX) 3 Optics, electromagnetic theory (78-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Number theory (11-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

721 Publications have been cited 7,047 times in 4,882 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
On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107
Amann, Herbert
2000
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
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
Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations. Zbl 1270.35339
Fan, Jishan; Jiang, Song; Nakamura, Gen; Zhou, Yong
2011
Weak-strong uniqueness for the isentropic compressible Navier-Stokes system. Zbl 1270.35342
Germain, Pierre
2011
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
Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations. Zbl 1085.35097
Brenier, Y.
2005
On the existence of strong solutions to a coupled fluid-structure evolution problem. Zbl 1068.35087
Beirão da Veiga, H.
2004
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
Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion. Zbl 1327.35314
Chae, Dongho; Wan, Renhui; Wu, Jiahong
2015
Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid. Zbl 1054.35061
Takahashi, Takéo; Tucsnak, Marius
2004
Existence of global weak solution for compressible fluid models of Korteweg type. Zbl 1270.35366
Haspot, Boris
2011
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
Mathematical perspectives on large eddy simulation models for turbulent flows. Zbl 1094.76030
Guermond, J.-L.; Oden, J. T.; Prudhomme, S.
2004
Particle trajectories in linear water waves. Zbl 1162.76316
Constantin, Adrian; Villari, Gabriele
2008
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
Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118
Berselli, Luigi C.; Diening, Lars; Ružička, Michael
2010
Instability of equatorial water waves with an underlying current. Zbl 1308.76035
Genoud, François; Henry, David
2014
Density-dependent incompressible fluids in bounded domains. Zbl 1142.76354
Danchin, R.
2006
Stabilizability of two-dimensional Navier-Stokes equations with help of a boundary feedback control. Zbl 0983.93021
Fursikov, A. V.
2001
Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations. Zbl 1293.35236
Craig, Walter; Huang, Xiangdi; Wang, Yun
2013
Navier-Stokes equations: controllability by means of low modes forcing. Zbl 1075.93014
Agrachev, Andrey A.; Sarychev, Andrey V.
2005
Local existence and finite-time blow-up in multidimensional radiation hydrodynamics. Zbl 1133.76043
Zhong, Xinhua; Jiang, Song
2007
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
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
Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity. Zbl 0992.35066
Giga, Y.; Matsui, S.; Sawada, O.
2001
Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. Zbl 1308.35165
Jiu, Quansen; Wang, Yi; Xin, Zhouping
2014
Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity? Zbl 1409.35047
Winkler, Michael
2018
A decay property of the Fourier transform and its application to the Stokes problem. Zbl 1102.35300
Shibata, Yoshihiro; Shimizu, Senjo
2001
Boundary regularity of shear thickening flows. Zbl 1270.35360
Beirão da Veiga, Hugo; Kaplický, Petr; Ružička, Michael
2011
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
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 anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations. Zbl 1270.35354
Penel, Patrick; Pokorný, Milan
2011
Existence of a solution “in the large” for ocean dynamics equations. Zbl 1132.35443
Kobelkov, Georgy M.
2007
On a Serrin-type regularity criterion for the Navier-Stokes equations in terms of the pressure. Zbl 1131.35060
Struwe, Michael
2007
Regularity criteria of MHD system involving one velocity and one current density component. Zbl 1307.35237
Yamazaki, Kazuo
2014
Existence for a three-dimensional steady-state fluid-structure interaction problem. Zbl 1009.76016
Grandmont, Céline
2002
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
On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics. Zbl 1327.76074
Jiang, Fei; Jiang, Song
2015
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
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
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
Global existence for the generalized two-component Hunter-Saxton system. Zbl 1255.35188
Wu, Hao; Wunsch, Marcus
2012
Existence of weak solutions for the three-dimensional motion of an elastic structure in an incompressible fluid. Zbl 1171.74337
Boulakia, Muriel
2007
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
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
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
Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D. Zbl 1284.35307
Ding, Shijin; Li, Yinghua; Luo, Wanglong
2013
A note on the exterior two-dimensional steady-state Navier-Stokes problem. Zbl 1186.35148
Russo, Antonio
2009
Decay in time of incompressible flows. Zbl 1048.35060
Kreiss, Heinz-Otto; Hagstrom, Thomas; Lorenz, Jens; Zingano, Paulo
2003
Steady states of anisotropic generalized Newtonian fluids. Zbl 1162.76375
Apushkinskaya, Darya; Bildhauer, Michael; Fuchs, Martin
2005
The Navier-Stokes equations in nonendpoint borderline Lorentz spaces. Zbl 1326.35249
Phuc, Nguyen Cong
2015
On regularity criteria for the 2D generalized MHD system. Zbl 1342.76028
Jiang, Zaihong; Wang, Yanan; Zhou, Yong
2016
An exact solution for nonlinear internal equatorial waves in the $$f$$-plane approximation. Zbl 1308.76054
Hsu, Hung-Chu
2014
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
A remark on $$L^{\infty}$$ solutions to the 2-D Navier-Stokes equations. Zbl 1132.35437
Sawada, Okihiro; Taniuchi, Yasushi
2007
Global weak solutions to equations of motion for magnetic fluids. Zbl 1162.76408
Amirat, Youcef; Hamdache, Kamel; Murat, François
2008
Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary. Zbl 1190.35174
Beirão da Veiga, H.
2009
On regularity criteria for the 3D incompressible MHD equations involving one velocity component. Zbl 1334.35240
Jia, Xuanji; Zhou, Yong
2016
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
Bingham viscoplastic as a limit of non-Newtonian fluids. Zbl 1002.35097
Shelukhin, V. V.
2002
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
Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary. Zbl 1213.76047
Beirão da Veiga, H.
2009
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
The nonlinear Stokes problem with general potentials having superquadratic growth. Zbl 1270.35335
Breit, Dominic; Fuchs, Martin
2011
Infinite energy solutions for damped Navier-Stokes equations in $${\mathbb{R}^2}$$. Zbl 1293.35221
Zelik, Sergey
2013
Weak solutions for a class of non-Newtonian fluids with energy transfer. Zbl 0974.35090
Consiglieri, Luisa
2000
About the regularized Navier-Stokes equations. Zbl 1096.35099
Cannone, Marco; Karch, Grzegorz
2005
The zero surface tension limit of two-dimensional interfacial Darcy flow. Zbl 1308.76260
Ambrose, David M.
2014
Nearly-Hamiltonian structure for water waves with constant vorticity. Zbl 1162.76315
Constantin, Adrian; Ivanov, Rossen I.; Prodanov, Emil M.
2008
Global classical solutions for MHD system. Zbl 1037.76068
Casella, Emanuala; Secchi, Paolo; Trebeschi, Paola
2003
Variants of the Stokes problem: the case of anisotropic potentials. Zbl 1072.76019
Bildhauer, Michael; Fuchs, Martin
2003
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
On classical solutions to 2D shallow water equations with degenerate viscosities. Zbl 1369.35065
Li, Yachun; Pan, Ronghua; Zhu, Shengguo
2017
Well-posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains. Zbl 1335.60108
Debbi, Latifa
2016
Maximal dissipation and well-posedness for the compressible Euler system. Zbl 1308.35190
Feireisl, Eduard
2014
Global Cauchy problem for the 2-D magnetohydrodynamic-$$\alpha$$ models with partial viscous terms. Zbl 1195.76428
Fan, Jishan; Ozawa, Tohru
2010
Effect of density dependent viscosities on multiphasic incompressible fluid models. Zbl 1220.35114
Bresch, Didier; Essoufi, El Hassan; Sy, Mamadou
2007
Well-posedness of the generalized Proudman-Johnson equation without viscosity. Zbl 1162.76311
Okamoto, Hisashi
2009
The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system. Zbl 1214.76008
Feireisl, Eduard; Novotný, Antonin
2009
Singular limits of Voigt models in fluid dynamics. Zbl 1328.35167
Coti Zelati, Michele; Gal, Ciprian G.
2015
Pressure in a deep-water Stokes wave. Zbl 1270.76014
Henry, David
2011
Steady water waves with multiple critical layers: interior dynamics. Zbl 1254.76021
Ehrnström, Mats; Escher, Joachim; Villari, Gabriele
2012
Incompressible limit for the compressible flow of liquid crystals. Zbl 1309.35094
Wang, Dehua; Yu, Cheng
2014
A blowup criterion for ideal viscoelastic flow. Zbl 1273.35223
Hu, Xianpeng; Hynd, Ryan
2013
Existence of solutions with the prescribed flux of the Navier-Stokes system in an infinite cylinder. Zbl 1111.35038
Pileckas, K.
2006
Temporal and spatial decays for the Stokes flow. Zbl 1188.35127
Bae, Hyeong-Ohk
2008
On the existence, uniqueness and $$C^{1,\gamma} (\bar{\Omega}) \cap W^{2,2}(\Omega)$$ regularity for a class of shear-thinning fluids. Zbl 1189.35221
Crispo, Francesca; Grisanti, Carlo R.
2008
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
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 07462208
Zhong, Xin
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
A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 07481805
Seregin, G.
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 07312806
Kwon, Young-Sam; Novotny, Antonin
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
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
Global dynamics of 3-D compressible micropolar fluids with vacuum and large oscillations. Zbl 1455.76159
Huang, Bingkang; Liu, Lvqiao; Zhang, Lan
2021
A uniqueness result for 3D incompressible fluid-rigid body interaction problem. Zbl 1460.35296
Muha, Boris; Nečasová, Šárka; Radošević, Ana
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
A fully space-time least-squares method for the unsteady Navier-Stokes system. Zbl 1475.76073
Lemoine, Jérôme; Münch, Arnaud
2021
Spatial behaviour of solutions of the Moore-Gibson-Thompson equation. Zbl 07425734
Ostoja-Starzewski, M.; Quintanilla, R.
2021
Analytical atmospheric Ekman-type solutions with height-dependent eddy viscosities. Zbl 1458.76119
Ionescu-Kruse, Delia
2021
Viscous flow around a rigid body performing a time-periodic motion. Zbl 1460.35255
Eiter, Thomas; Kyed, Mads
2021
Uniqueness of dissipative solutions to the complete Euler system. Zbl 1460.35271
Ghoshal, Shyam Sundar; Jana, Animesh
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
Wentzell-Freidlin large deviation principle for stochastic convective Brinkman-Forchheimer equations. Zbl 1467.60049
Mohan, Manil T.
2021
Mild criticality breaking for the Navier-Stokes equations. Zbl 07364481
Barker, Tobias; Prange, Christophe
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
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
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
Locally space-time anisotropic regularity criteria for the Navier-Stokes equations in terms of two vorticity components. Zbl 1466.35289
Skalak, Zdenek
2021
Study of an elliptic partial differential equation modeling the ocean flow in arctic gyres. Zbl 1468.35138
Haziot, Susanna V.
2021
On conditional regularity for the MHD equations via partial components. Zbl 1468.35136
Guo, Zhengguang; Li, Yafei; Skalák, Zdenĕk
2021
Global strong solutions of Navier-Stokes equations for heat-conducting compressible fluids with vacuum at infinity. Zbl 1458.76085
Liang, Zhilei
2021
Uniqueness result for the 3-D Navier-Stokes-Boussinesq equations with horizontal dissipation. Zbl 1476.76019
Dreyfuss, Pierre; Houamed, Haroune
2021
Relative decay conditions on Liouville type theorem for the steady Navier-Stokes system. Zbl 1460.35251
Chae, Dongho
2021
Dispersive estimates for full dispersion KP equations. Zbl 1458.35083
Pilod, Didier; Saut, Jean-Claude; Selberg, Sigmund; Tesfahun, Achenef
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
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
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
A Hopf bifurcation in the planar Navier-Stokes equations. Zbl 07388748
Arioli, Gianni; Koch, Hans
2021
Global well-posedness of the ocean primitive equations with nonlinear thermodynamics. Zbl 1479.35674
Korn, Peter
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
On 3D Hall-MHD equations with fractional Laplacians: global well-posedness. Zbl 1479.35705
Zhang, Huali; Zhao, Kun
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
Variational formulation of rotational steady water waves in two-layer flows. Zbl 1480.76013
Chu, Jifeng; Ding, Qixing; Escher, Joachim
2021
Nonlinear differential equations modeling the Antarctic circumpolar current. Zbl 1480.76149
Chu, Jifeng; Marynets, Kateryna
2021
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
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
Well-posedness of a diffuse interface model for Hele-Shaw flows. Zbl 1435.35297
Giorgini, Andrea
2020
Boundedness in a chemotaxis-(Navier-)Stokes system modeling coral fertilization with slow $$p$$-Laplacian diffusion. Zbl 1433.35425
Liu, Ji
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
The Stokes limit in a three-dimensional chemotaxis-Navier-Stokes system. Zbl 1433.35259
Black, Tobias
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
Time evolution of concentrated vortex rings. Zbl 1433.76029
Buttà, Paolo; Marchioro, Carlo
2020
Global regularity of the three-dimensional fractional micropolar equations. Zbl 1434.35122
Wang, Dehua; Wu, Jiahong; Ye, Zhuan
2020
A Sturm-Liouville problem arising in the atmospheric boundary-layer dynamics. Zbl 1453.34028
Marynets, Kateryna
2020
Global smooth axisymmetic solutions of the Boussinesq equations for magnetohydrodynamics convection. Zbl 1433.35258
Bian, Dongfen; Pu, Xueke
2020
Non-uniform dependence for the Novikov equation in Besov spaces. Zbl 1448.35402
Li, Jinlu; Li, Min; Zhu, Weipeng
2020
Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data. Zbl 1436.35273
Bradshaw, Zachary; Kukavica, Igor
2020
On the spectrum of the linearized operator around compressible Couette flows between two concentric cylinders. Zbl 1434.35055
Kagei, Yoshiyuki; Teramoto, Yuka
2020
Local existence of strong solutions of a fluid-structure interaction model. Zbl 1452.35154
Mitra, Sourav
2020
Energy conservation in 2-D density-dependent Euler equations with regularity assumptions on the vorticity. Zbl 1429.76036
Chen, Qing
2020
Global existence and asymptotic stability of 3D generalized magnetohydrodynamic equations. Zbl 1433.35280
Jiang, Kerui; Liu, Zuhan; Zhou, Ling
2020
On multiple solutions to the steady flow of incompressible fluids subject to do-nothing or constant traction boundary conditions on artificial boundaries. Zbl 1429.76040
Lanzendörfer, M.; Hron, J.
2020
The plane exterior boundary-value problem for nonhomogeneous fluids. Zbl 1433.76043
Russo, Remigio; Tartaglione, Alfonsina
2020
Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain. Zbl 1433.76039
Lequeurre, Julien; Munnier, Alexandre
2020
Blowup criterion via only the middle eigenvalue of the strain tensor in anisotropic Lebesgue spaces to the 3D double-diffusive convection equations. Zbl 1435.35313
Wu, Fan
2020
Well-posedness and stability results for some periodic Muskat problems. Zbl 1440.35275
Matioc, Bogdan-Vasile
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
A pressure associated with a weak solution to the Navier-Stokes equations with Navier’s boundary conditions. Zbl 1444.76041
Neustupa, Jiří; Nečasová, Šárka; Kučera, Petr
2020
Homogenization of Stokes equations in perforated domains: a unified approach. Zbl 1447.35032
Lu, Yong
2020
Global existence of martingale solutions and large time behavior for a 3D stochastic nonlocal Cahn-Hilliard-Navier-Stokes systems with shear dependent viscosity. Zbl 1447.76012
Deugoué, G.; Ngana, A. Ndongmo; Medjo, T. Tachim
2020
Wave breaking, global existence and persistent decay for the Gurevich-Zybin system. Zbl 1448.35505
Wei, Long
2020
Global existence for an attraction-repulsion chemotaxis-fluid system in a framework of Besov-Morrey type. Zbl 1462.35414
Duarte-Rodríguez, Abelardo; Ferreira, Lucas C. F.; Villamizar-Roa, Élder J.
2020
Global regularity for the 2D Boussinesq equations with temperature-dependent viscosity. Zbl 1433.35265
Dong, Bo-Qing; Ye, Zhuan; Zhai, Xiaoping
2020
On the Oseen fundamental solution and the asymptotic profile of flows past a translating object. Zbl 1429.35177
Silvestre, Ana L.
2020
Zero-viscosity limit of the Navier-Stokes equations in a simply-connected bounded domain under the analytic setting. Zbl 1429.35172
Wang, Chao; Wang, Yuxi
2020
Three dimensional asymptotic analysis of an axisymmetric flow in a thin tube with thin stiff elastic wall. Zbl 1434.74052
Panasenko, G. P.; Stavre, R.
2020
Asymptotic limit for rotational compressible magnetohydrodynamic flows. Zbl 1434.35103
Kwon, Young-Sam; Lin, Ying-Chieh; Su, Cheng-Fang
2020
Orbital bifurcations and shoaling of cnoidal waves. Zbl 1443.76116
Oblak, Blagoje
2020
A multi-scale limit of a randomly forced rotating 3-d compressible fluid. Zbl 1451.35267
Mensah, Prince Romeo
2020
Global existence and exponential decay of strong solutions of nonhomogeneous magneto-micropolar fluid equations with large initial data and vacuum. Zbl 1440.35283
Zhong, Xin
2020
Well-posedness of strong solutions to the anelastic equations of stratified viscous flows. Zbl 1440.35240
Liu, Xin; Titi, Edriss S.
2020
On the self-propulsion of a rigid body in a viscous liquid by time-periodic boundary data. Zbl 1459.76040
Galdi, Giovanni P.
2020
On the nonstationary Stokes system in a cone $$(L_p$$ theory). Zbl 1448.35399
Kozlov, V.; Rossmann, J.
2020
On a singular limit for the compressible rotating Euler system. Zbl 1448.35368
Nečasová, Šárka; Tang, Tong
2020
Global weak solutions to compressible Navier-Stokes-Vlasov-Boltzmann systems for spray dynamics. Zbl 1448.35394
Gamba, Irene M.; Yu, Cheng
2020
Generic regularity of conservative solutions to the rotational Camassa-Holm equation. Zbl 1458.76017
Yang, Shaojie
2020
Analysis of the small oscillations of two nonmixing fluids, the upper inviscid, the lower viscoelastic, in a fixed open container. Zbl 1458.76005
Essaouini, Hilal; Capodanno, Pierre
2020
Time analyticity for inhomogeneous parabolic equations and the Navier-Stokes equations in the half space. Zbl 1447.35089
Dong, Hongjie; Pan, Xinghong
2020
A new boundary condition for the Hall-magnetohydrodynamics equation with the ion-slip effect. Zbl 1448.35365
Han, Woo Jin; Hwang, Hyung Ju
2020
In-flow and out-flow problem for the Stokes system. Zbl 1448.35369
Nowakowski, Bernard; Ströhmer, Gerhard
2020
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 well-posedness for the 3D incompressible Hall-magnetohydrodynamic equations with Fujita-Kato type initial data. Zbl 1414.35177
Wan, Renhui; Zhou, Yong
2019
Exact solution and instability for geophysical waves with centripetal forces and at arbitrary latitude. Zbl 1411.86002
Chu, Jifeng; Ionescu-Kruse, Delia; Yang, Yanjuan
2019
Energy equality and uniqueness of weak solutions of a “viscous incompressible fluid $$+$$ rigid body” system with Navier slip-with-friction conditions in a 2D bounded domain. Zbl 1416.35179
Bravin, Marco
2019
On the thin film Muskat and the thin film Stokes equations. Zbl 1417.35057
Bruell, Gabriele; Granero-Belinchón, Rafael
2019
Global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism. Zbl 1418.76008
Chen, Qionglei; Hao, Xiaonan
2019
Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces. Zbl 1420.35228
Chikami, Noboru; Kobayashi, Takayuki
2019
Regularity criteria of the incompressible Navier-Stokes equations via only one entry of velocity gradient. Zbl 1421.35244
Guo, Zhengguang; Li, Yafei; Skalák, Zdenĕk
2019
A penalty finite element method for a fluid system posed on embedded surface. Zbl 1446.76095
Olshanskii, Maxim A.; Yushutin, Vladimir
2019
Coupled self-organized hydrodynamics and Stokes models for suspensions of active particles. Zbl 1420.35232
Degond, Pierre; Merino-Aceituno, Sara; Vergnet, Fabien; Yu, Hui
2019
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### Cited by 3,638 Authors

 73 Feireisl, Eduard 67 Nečasová, Šárka 53 Fan, Jishan 46 Novotný, Antonín 40 Tan, Zhong 39 Zhou, Yong 36 Xin, Zhouping 33 Farwig, Reinhard 33 Martin, Calin-Iulian 33 Takahashi, Takéo 32 Wu, Jiahong 32 Zhang, Zujin 30 Gala, Sadek 30 Pileckas, Konstantin 30 Seregin, Gregory A. 27 Yamazaki, Kazuo 26 Beirão da Veiga, Hugo 26 Galdi, Giovanni Paolo 26 Titi, Edriss Saleh 26 Zhong, Xin 26 Zhu, Changjiang 25 Berselli, Luigi Carlo 25 Li, Fucai 25 Maremonti, Paolo 24 Breit, Dominic 24 Jiang, Song 23 Neustupa, Jiří 23 Růžička, Michael 22 Ducomet, Bernard 22 Kang, Kyungkeun 22 Xu, Xiaojing 21 Henry, David 21 Ionescu-Kruse, Delia 21 Jin, Bumja 21 Wen, Huanyao 21 Wolf, Jörg 20 Bresch, Didier 20 Kim, Jaemyoung 20 Kreml, Ondřej 20 Pokorný, Milan 19 Amrouche, Chérif 19 Bae, Hyeong-Ohk 19 Dong, Boqing 19 Jiang, Fei 18 Chae, Dongho 18 Hieber, Matthias 18 Liu, Qiao 18 Mácha, Václav 18 Málek, Josef 18 Wang, Dehua 18 Ye, Zhuan 18 Zhang, Ting 17 Deuring, Paul 17 Jiu, Quansen 17 Kwon, Young-Sam 17 Matioc, Bogdan-Vasile 17 Shibata, Yoshihiro 17 Tang, Tong 17 Wang, Yanqing 17 Yao, Zhengan 16 Fang, Daoyuan 16 Fuchs, Martin 16 Mucha, Piotr Bogusław 16 Zhai, Xiaoping 16 Zhang, Zhifei 16 Zhu, Mingxuan 16 Zvyagin, Viktor Grigor’evich 15 Gao, Hongjun 15 Giga, Yoshikazu 15 Guo, Zhengguang 15 Hsu, Hung-Chu 15 Kukavica, Igor 15 Maekawa, Yasunori 15 Muha, Boris 15 Qin, Yuming 15 Ragusa, Maria Alessandra 15 Rebholz, Leo G. 15 Zatorska, Ewelina 15 Zhang, Jianwen 14 Bulíček, Miroslav 14 Choe, Hi Jun 14 Crispo, Francesca 14 Guo, Boling 14 Guo, Zhenhua 14 Han, Pigong 14 Huang, Xiangdi 14 Layton, William J. 14 Mohan, Manil Thankamani 14 Nakamura, Gen 14 Wang, Weiwei 14 Yang, Minsuk 14 Yuan, Baoquan 13 Abels, Helmut 13 Chang, Tongkeun 13 Chen, Zhimin 13 Borges de Oliveira, Hermenegildo 13 Finn, Robert S. 13 Hillairet, Matthieu 13 Jiang, Peng 13 Kagei, Yoshiyuki ...and 3,538 more Authors
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### Cited in 388 Journals

 373 Journal of Mathematical Fluid Mechanics 369 Journal of Differential Equations 233 Journal of Mathematical Analysis and Applications 163 Archive for Rational Mechanics and Analysis 158 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 128 Nonlinear Analysis. Real World Applications 125 ZAMP. Zeitschrift für angewandte Mathematik und Physik 101 Discrete and Continuous Dynamical Systems 94 SIAM Journal on Mathematical Analysis 88 Journal of Mathematical Physics 80 Mathematical Methods in the Applied Sciences 72 Applied Mathematics Letters 67 Applicable Analysis 65 Communications in Mathematical Physics 65 Journal of Evolution Equations 64 Nonlinearity 61 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 60 Computers & Mathematics with Applications 56 Communications on Pure and Applied Analysis 55 Boundary Value Problems 54 Acta Applicandae Mathematicae 53 Journal de Mathématiques Pures et Appliquées. Neuvième Série 53 Journal of Mathematical Sciences (New York) 47 Journal of Fluid Mechanics 42 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 42 Communications in Partial Differential Equations 41 Applied Mathematics and Computation 40 Journal of Functional Analysis 37 Discrete and Continuous Dynamical Systems. Series B 35 Physica D 35 Journal of Nonlinear Science 33 Calculus of Variations and Partial Differential Equations 31 Monatshefte für Mathematik 30 Comptes Rendus. Mathématique. Académie des Sciences, Paris 30 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 28 Advances in Mathematics 28 Applied Mathematics and Optimization 27 Computer Methods in Applied Mechanics and Engineering 27 Journal of Computational Physics 27 Mathematische Annalen 27 Applications of Mathematics 26 Quarterly of Applied Mathematics 25 Proceedings of the American Mathematical Society 25 NoDEA. Nonlinear Differential Equations and Applications 25 Discrete and Continuous Dynamical Systems. Series S 24 Annali di Matematica Pura ed Applicata. Serie Quarta 24 Journal of Dynamics and Differential Equations 24 Evolution Equations and Control Theory 23 Journal of Scientific Computing 23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 23 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 22 Chinese Annals of Mathematics. Series B 21 Acta Mathematicae Applicatae Sinica. English Series 20 Computers and Fluids 20 Abstract and Applied Analysis 20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 19 Science China. Mathematics 18 Journal of Computational and Applied Mathematics 18 Journal of Elliptic and Parabolic Equations 17 Transactions of the American Mathematical Society 16 Journal of Nonlinear Mathematical Physics 15 SIAM Journal on Control and Optimization 14 Journal of the Mathematical Society of Japan 14 Asymptotic Analysis 14 European Journal of Mechanics. B. Fluids 14 Journal of Hyperbolic Differential Equations 14 Kinetic and Related Models 14 Advances in Mathematical Physics 13 Mathematische Nachrichten 13 Advances in Nonlinear Analysis 12 Numerische Mathematik 12 SIAM Journal on Numerical Analysis 12 Physics of Fluids 12 Computational and Applied Mathematics 12 Acta Mathematica Sinica. English Series 12 Analysis and Applications (Singapore) 11 Manuscripta Mathematica 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 SN Partial Differential Equations and Applications 10 Japan Journal of Industrial and Applied Mathematics 10 Mathematical Physics, Analysis and Geometry 10 Communications in Nonlinear Science and Numerical Simulation 10 Communications in Contemporary Mathematics 10 Annals of PDE 10 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 10 AIMS Mathematics 9 Journal of Statistical Physics 9 Wave Motion 9 Czechoslovak Mathematical Journal 9 Inventiones Mathematicae 9 Zeitschrift für Analysis und ihre Anwendungen 9 Electronic Journal of Differential Equations (EJDE) 9 St. Petersburg Mathematical Journal 9 Doklady Mathematics 8 Archiv der Mathematik 8 Acta Mathematica Scientia. Series B. (English Edition) 8 Electronic Research Archive 7 Mathematics of Computation 7 Annales Polonici Mathematici 7 Results in Mathematics ...and 288 more Journals
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