# zbMATH — the first resource for mathematics

## 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: 875 Publications (since 1999) References Indexed: 589 Publications with 16,497 References.
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#### Latest Issues

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#### Authors

 15 Beirão da Veiga, Hugo 15 Finn, Robert S. 11 Neustupa, Jiří 10 Friedlander, Susan Jean 10 Nečasová, Šárka 10 Novotný, Antonín 10 Pileckas, Konstantin 9 Feireisl, Eduard 9 Galdi, Giovanni Paolo 9 Nishida, Takaaki 8 Deuring, Paul 8 Fuchs, Martin 8 Ionescu-Kruse, Delia 8 Maremonti, Paolo 7 Kagei, Yoshiyuki 7 Renardy, Michael 7 Seregin, Gregory A. 7 Ströhmer, Gerhard 7 Wu, Jiahong 6 Berselli, Luigi Carlo 6 Chae, Dongho 6 Iooss, Gérard 6 Padula, Mariarosaria 6 Pokorný, Milan 6 Rusin, Walter M. 6 Russo, Remigio 6 Skalák, Zdeněk 6 Titi, Edriss Saleh 6 Xin, Zhouping 5 Bae, Hyeong-Ohk 5 Bhatnagar, Rajat 5 Crispo, Francesca 5 Fan, Jishan 5 Farwig, Reinhard 5 Figueira, Mário S. R. 5 Heywood, John G. 5 Jin, Bum Ja 5 Kyed, Mads 5 Nazarov, Sergeĭ Aleksandrovich 5 Wittwer, Peter 5 Zhou, Yong 4 Abels, Helmut 4 Antontsev, Stanislav Nikolaevich 4 Barker, Tobias 4 Bildhauer, Michael 4 Breit, Dominic 4 Chen, Zhimin 4 Dias, João-Paulo 4 Dong, Hongjie 4 Ducomet, Bernard 4 Escher, Joachim 4 Giga, Yoshikazu 4 Grujić, Zoran 4 Guenther, Ronald B. 4 Hsu, Hung-Chu 4 Kohr, Mirela 4 Kozlov, Vladimir A. 4 Kweon, Jae Ryong 4 Maekawa, Yasunori 4 Martin, Calin-Iulian 4 Mohan, Manil Thankamani 4 Růžička, Michael 4 Secchi, Paolo 4 Sequeira, Adélia 4 Shibata, Yoshihiro 4 Shvydkoy, Roman V. 4 Sohr, Hermann 4 Takahashi, Takéo 4 Teramoto, Yoshiaki 4 Teramoto, Yuka 4 Thomann, Enrique A. 4 Vogel, Thomas Irvin 4 Wang, Yanqing 4 Wendland, Wolfgang L. 4 Ye, Zhuan 4 Yoneda, Tsuyoshi 4 Zajączkowski, Wojciech M. 4 Zhao, Kun 3 Abbatiello, Anna 3 Amirat, Youcef Aït 3 Braz e Silva, Pablo 3 Bresch, Didier 3 Chen, Robin Ming 3 Cheskidov, Alexey 3 Choe, Hi Jun 3 Constantin, Adrian 3 Degond, Pierre 3 Diening, Lars 3 Farhat, Aseel 3 Friedmann, Elfriede 3 Fursikov, Andreĭ Vladimirovich 3 Gallay, Thierry 3 Grandmont, Céline 3 Guerrero, Sergio 3 Gunzburger, Max D. 3 Hamdache, Kamel 3 Heuveline, Vincent 3 Hoang, Luan Thach 3 Huang, Bingkang 3 Hwang, Hyung Ju ...and 875 more Authors
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#### Fields

 794 Fluid mechanics (76-XX) 735 Partial differential equations (35-XX) 38 Numerical analysis (65-XX) 38 Geophysics (86-XX) 33 Dynamical systems and ergodic theory (37-XX) 30 Mechanics of deformable solids (74-XX) 21 Classical thermodynamics, heat transfer (80-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 15 Biology and other natural sciences (92-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Operator theory (47-XX) 13 Differential geometry (53-XX) 13 Systems theory; control (93-XX) 12 Ordinary differential equations (34-XX) 12 Probability theory and stochastic processes (60-XX) 11 Functional analysis (46-XX) 9 Real functions (26-XX) 7 History and biography (01-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Potential theory (31-XX) 5 Mechanics of particles and systems (70-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 3 Optics, electromagnetic theory (78-XX) 2 Measure and integration (28-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 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Quantum theory (81-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

660 Publications have been cited 6,250 times in 4,339 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
Global regularity for a class of generalized magnetohydrodynamic equations. Zbl 1270.35371
Wu, Jiahong
2011
On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107
Amann, Herbert
2000
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
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
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
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
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 well-posedness for the Hall-MHD equations with fractional magnetic diffusion. Zbl 1327.35314
Chae, Dongho; Wan, Renhui; Wu, Jiahong
2015
Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044
Seregin, G. A.
2002
Existence of global weak solution for compressible fluid models of Korteweg type. Zbl 1270.35366
Haspot, Boris
2011
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
Strong solutions for generalized Newtonian fluids. Zbl 1080.76005
Diening, Lars; Ružička, Michael
2005
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
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
Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity. Zbl 0992.35066
Giga, Y.; Matsui, S.; Sawada, O.
2001
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
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
Navier-Stokes equations: controllability by means of low modes forcing. Zbl 1075.93014
Agrachev, Andrey A.; Sarychev, Andrey V.
2005
A decay property of the Fourier transform and its application to the Stokes problem. Zbl 1102.35300
Shibata, Yoshihiro; Shimizu, Senjo
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
Boundary regularity of shear thickening flows. Zbl 1270.35360
Beirão da Veiga, Hugo; Kaplický, Petr; Ružička, Michael
2011
Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity? Zbl 1409.35047
Winkler, Michael
2018
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 anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations. Zbl 1270.35354
Penel, Patrick; Pokorný, Milan
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 a Serrin-type regularity criterion for the Navier-Stokes equations in terms of the pressure. Zbl 1131.35060
Struwe, Michael
2007
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
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
Regularity criteria of MHD system involving one velocity and one current density component. Zbl 1307.35237
Yamazaki, Kazuo
2014
Local well-posedness and blowup criterion of the Boussinesq equations in critical Besov spaces. Zbl 1195.76136
Xiaofeng, Liu; Wang, Meng; Zhang, Zhifei
2010
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
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
On two-dimensional magnetic Bénard problem with mixed partial viscosity. Zbl 1329.35245
Cheng, Jianfeng; Du, Lili
2015
On the smoothness of a class of weak solutions to the Navier-Stokes equations. Zbl 0972.35089
Beirão da Veiga, Hugo
2000
Existence of weak solutions for the three-dimensional motion of an elastic structure in an incompressible fluid. Zbl 1171.74337
Boulakia, Muriel
2007
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
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
Strong well-posedness for a Korteweg-type model for the dynamics of a compressible non-isothermal fluid. Zbl 1270.76063
Kotschote, Matthias
2010
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
On the existence of the pressure for solutions of the variational Navier-Stokes equations. Zbl 0961.35107
Simon, Jacques
1999
An exact solution for nonlinear internal equatorial waves in the $$f$$-plane approximation. Zbl 1308.76054
Hsu, Hung-Chu
2014
On regularity criteria for the 3D incompressible MHD equations involving one velocity component. Zbl 1334.35240
Jia, Xuanji; Zhou, Yong
2016
A remark on $$L^{\infty}$$ solutions to the 2-D Navier-Stokes equations. Zbl 1132.35437
Sawada, Okihiro; Taniuchi, Yasushi
2007
Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary. Zbl 1190.35174
Beirão da Veiga, H.
2009
A note on the exterior two-dimensional steady-state Navier-Stokes problem. Zbl 1186.35148
Russo, Antonio
2009
Global weak solutions to equations of motion for magnetic fluids. Zbl 1162.76408
Amirat, Youcef; Hamdache, Kamel; Murat, François
2008
On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics. Zbl 1327.76074
Jiang, Fei; Jiang, Song
2015
About the regularized Navier-Stokes equations. Zbl 1096.35099
Cannone, Marco; Karch, Grzegorz
2005
Bingham viscoplastic as a limit of non-Newtonian fluids. Zbl 1002.35097
Shelukhin, V. V.
2002
Weak solutions for a class of non-Newtonian fluids with energy transfer. Zbl 0974.35090
Consiglieri, Luisa
2000
Global classical solutions for MHD system. Zbl 1037.76068
Casella, Emanuala; Secchi, Paolo; Trebeschi, Paola
2003
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
Random data Cauchy theory for the generalized incompressible Navier-Stokes equations. Zbl 1294.35076
Zhang, Ting; Fang, Daoyuan
2012
On classical solutions to 2D shallow water equations with degenerate viscosities. Zbl 1369.35065
Li, Yachun; Pan, Ronghua; Zhu, Shengguo
2017
Infinite energy solutions for damped Navier-Stokes equations in $${\mathbb{R}^2}$$. Zbl 1293.35221
Zelik, Sergey
2013
Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D. Zbl 1284.35307
Ding, Shijin; Li, Yinghua; Luo, Wanglong
2013
Decay in time of incompressible flows. Zbl 1048.35060
Kreiss, Heinz-Otto; Hagstrom, Thomas; Lorenz, Jens; Zingano, Paulo
2003
Variants of the Stokes problem: the case of anisotropic potentials. Zbl 1072.76019
Bildhauer, Michael; Fuchs, Martin
2003
The zero surface tension limit of two-dimensional interfacial Darcy flow. Zbl 1308.76260
Ambrose, David M.
2014
Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary. Zbl 1213.76047
Beirão da Veiga, H.
2009
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 Cauchy problem for the 2-D magnetohydrodynamic-$$\alpha$$ models with partial viscous terms. Zbl 1195.76428
Fan, Jishan; Ozawa, Tohru
2010
Nearly-Hamiltonian structure for water waves with constant vorticity. Zbl 1162.76315
Constantin, Adrian; Ivanov, Rossen I.; Prodanov, Emil M.
2008
Well-posedness of the generalized Proudman-Johnson equation without viscosity. Zbl 1162.76311
Okamoto, Hisashi
2009
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
The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system. Zbl 1214.76008
Feireisl, Eduard; Novotný, Antonin
2009
Temporal and spatial decays for the Stokes flow. Zbl 1188.35127
Bae, Hyeong-Ohk
2008
Pressure in a deep-water Stokes wave. Zbl 1270.76014
Henry, David
2011
A blowup criterion for ideal viscoelastic flow. Zbl 1273.35223
Hu, Xianpeng; Hynd, Ryan
2013
Singular limits of Voigt models in fluid dynamics. Zbl 1328.35167
Coti Zelati, Michele; Gal, Ciprian G.
2015
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
Adaptive boundary conditions for exterior flow problems. Zbl 1072.76049
Bönisch, Sebastian; Heuveline, Vincent; Wittwer, Peter
2005
Incompressible limit for the compressible flow of liquid crystals. Zbl 1309.35094
Wang, Dehua; Yu, Cheng
2014
Steady water waves with multiple critical layers: interior dynamics. Zbl 1254.76021
Ehrnström, Mats; Escher, Joachim; Villari, Gabriele
2012
Existence of solutions with the prescribed flux of the Navier-Stokes system in an infinite cylinder. Zbl 1111.35038
Pileckas, K.
2006
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
A numerically based existence theorem for the Navier-Stokes equations. Zbl 0934.35115
Heywood, John G.; Nagata, Wayne; Xie, Wenzheng
1999
Nonhomogeneous Dirichlet Navier-Stokes problems in low regularity $$L_p$$ Sobolev spaces. Zbl 0992.35065
Grubb, Gerd
2001
Maximal dissipation and well-posedness for the compressible Euler system. Zbl 1308.35190
Feireisl, Eduard
2014
On the Jordan-Moore-Gibson-Thompson wave equation in hereditary fluids with quadratic gradient nonlinearity. Zbl 1458.35347
Nikolić, Vanja; Said-Houari, Belkacem
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
A uniqueness result for 3D incompressible fluid-rigid body interaction problem. Zbl 1460.35296
Muha, Boris; Nečasová, Šárka; Radošević, Ana
2021
Uniqueness and bifurcation branches for planar steady Navier-Stokes equations under Navier boundary conditions. Zbl 07353344
Arioli, Gianni; Gazzola, Filippo; Koch, Hans
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
Analytical atmospheric Ekman-type solutions with height-dependent eddy viscosities. Zbl 1458.76119
Ionescu-Kruse, Delia
2021
Uniqueness result for the 3-D Navier-Stokes-Boussinesq equations with horizontal dissipation. Zbl 07312802
Dreyfuss, Pierre; Houamed, Haroune
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
Uniqueness of dissipative solutions to the complete Euler system. Zbl 1460.35271
Ghoshal, Shyam Sundar; Jana, Animesh
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
Well-posedness of a diffuse interface model for Hele-Shaw flows. Zbl 1435.35297
Giorgini, Andrea
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
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
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
Boundedness in a chemotaxis-(Navier-)Stokes system modeling coral fertilization with slow $$p$$-Laplacian diffusion. Zbl 1433.35425
Liu, Ji
2020
A Sturm-Liouville problem arising in the atmospheric boundary-layer dynamics. Zbl 1453.34028
Marynets, Kateryna
2020
The plane exterior boundary-value problem for nonhomogeneous fluids. Zbl 1433.76043
Russo, Remigio; Tartaglione, Alfonsina
2020
On the spectrum of the linearized operator around compressible Couette flows between two concentric cylinders. Zbl 1434.35055
Kagei, Yoshiyuki; Teramoto, Yuka
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
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
Wave breaking, global existence and persistent decay for the Gurevich-Zybin system. Zbl 1448.35505
Wei, Long
2020
Non-uniform dependence for the Novikov equation in Besov spaces. Zbl 1448.35402
Li, Jinlu; Li, Min; Zhu, Weipeng
2020
Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain. Zbl 1433.76039
Lequeurre, Julien; Munnier, Alexandre
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
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
Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data. Zbl 1436.35273
Bradshaw, Zachary; Kukavica, Igor
2020
Global existence and asymptotic stability of 3D generalized magnetohydrodynamic equations. Zbl 1433.35280
Jiang, Kerui; Liu, Zuhan; Zhou, Ling
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
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
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
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
On the thin film Muskat and the thin film Stokes equations. Zbl 1417.35057
Bruell, Gabriele; Granero-Belinchón, Rafael
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
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
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
A penalty finite element method for a fluid system posed on embedded surface. Zbl 1446.76095
Olshanskii, Maxim A.; Yushutin, Vladimir
2019
On the forced Euler and Navier-Stokes equations: linear damping and modified scattering. Zbl 1448.76117
Zillinger, Christian
2019
Wellposedness and convergence of solutions to a class of forced non-diffusive equations with applications. Zbl 1425.76053
Friedlander, Susan; Suen, Anthony
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
On local type I singularities of the Navier – Stokes equations and Liouville theorems. Zbl 1448.35359
Albritton, Dallas; Barker, Tobias
2019
Global large solutions and incompressible limit for the compressible Navier-Stokes equations. Zbl 1416.35181
Chen, Zhi-Min; Zhai, Xiaoping
2019
Analysis of variable-step/non-autonomous artificial compression methods. Zbl 1411.76117
Chen, Robin Ming; Layton, William; McLaughlin, Michael
2019
On the well-posedness of the Hall-magnetohydrodynamics with the ion-slip effect. Zbl 1427.35176
Han, Woo Jin; Hwang, Hyung Ju; Moon, Byung Soo
2019
On the linear stability of vortex columns in the energy space. Zbl 1460.76340
Gallay, Thierry; Smets, Didier
2019
On the vanishing of some D-solutions to the stationary magnetohydrodynamics system. Zbl 1427.35183
Li, Zijin; Pan, Xinghong
2019
On dissipative solutions to a system arising in viscoelasticity. Zbl 1427.35205
Kalousek, Martin
2019
Existence of incompressible and immiscible flows in critical function spaces on bounded domains. Zbl 1427.35186
Ri, Myong-Hwan; Zhang, Ping
2019
A maximal regularity approach to the study of motion of a rigid body with a fluid-filled cavity. Zbl 1428.35388
Mazzone, Giusy; Prüss, Jan; Simonett, Gieri
2019
On the existence of strong solutions to a fluid structure interaction problem with Navier boundary conditions. Zbl 1421.35242
Djebour, Imene Aicha; Takahashi, Takéo
2019
Global regularity results for the 2D magnetic Bénard problem with fractional dissipation. Zbl 1421.35291
Shang, Haifeng
2019
A note on the regularity time of Leray solutions to the Navier-Stokes equations. Zbl 1446.76091
Braz e Silva, P.; Zingano, J. P.; Zingano, P. R.
2019
Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity. Zbl 1420.35183
Deuring, Paul
2019
On Wolf’s regularity criterion of suitable weak solutions to the Navier-Stokes equations. Zbl 1411.76022
Jiu, Quansen; Wang, Yanqing; Zhou, Daoguo
2019
Large oceanic gyres: Lagrangian description. Zbl 1411.76172
Abrashkin, Anatoly
2019
Existence of regular time-periodic solutions to shear-thinning fluids. Zbl 1416.35177
Abbatiello, Anna; Maremonti, Paolo
2019
Nonlinear acoustics: Blackstock-Crighton equations with a periodic forcing term. Zbl 1428.35349
2019
On the differentiability of fluid-structure interaction problems with respect to the problem data. Zbl 1418.35316
Wick, Thomas; Wollner, Winnifried
2019
Well-Posedness for a moving boundary model of an evaporation front in a porous medium. Zbl 1418.35388
Lippoth, Friedrich; Prokert, Georg
2019
A Beale-Kato-Majda criterion with optimal frequency and temporal localization. Zbl 1452.76050
Luo, Xiaoyutao
2019
Error estimates for spectral semi-Galerkin approximations of incompressible asymmetric fluids with variable density. Zbl 1414.65019
Cruz, Felipe W.; Braz e Silva, Pablo
2019
Boundary layer analysis for Navier-slip Rayleigh-Bénard convection: the non-existence of an ultimate state. Zbl 1446.76102
Gie, G.-M.; Whitehead, J. P.
2019
Global unique solvability of the initial-boundary value problem for the equations of one-dimensional polytropic flows of viscous compressible multifluids. Zbl 1411.76150
Mamontov, Alexander E.; Prokudin, Dmitry A.
2019
Theoretical considerations, flow visualization and pressure measurements for rear-end collisions of two unequal solitary waves. Zbl 1411.76016
Umeyama, Motohiko
2019
A priori error analysis for Navier Stokes equations with slip boundary conditions of friction type. Zbl 1414.65011
Djoko, J. K.
2019
Divergence free polar wavelets for the analysis and representation of fluid flows. Zbl 1411.42010
Lessig, Christian
2019
Direction of vorticity and a refined regularity criterion for the Navier-Stokes equations with fractional Laplacian. Zbl 1416.35190
Nakai, Kengo
2019
Instability of nonlinear wave-current interactions in a modified equatorial $$\beta$$-plane approximation. Zbl 1411.76015
2019
Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity? Zbl 1409.35047
Winkler, Michael
2018
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
Local stability for an exact steady purely azimuthal equatorial flow. Zbl 1394.76020
Ionescu-Kruse, Delia; Martin, Calin Iulian
2018
Uniqueness results for weak Leray-Hopf solutions of the Navier-Stokes system with initial values in critical spaces. Zbl 1394.35314
Barker, Tobias
2018
The existence of a global attractor for the forced critical surface quasi-geostrophic equation in $$L^2$$. Zbl 1394.35513
Cheskidov, Alexey; Dai, Mimi
2018
A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities. Zbl 1394.35353
Dedè, Luca; Garcke, Harald; Lam, Kei Fong
2018
A weighted Sturm-Liouville problem related to Ocean flows. Zbl 1401.34030
Marynets, Kateryna
2018
Traveling gravity water waves with critical layers. Zbl 1388.35148
Aasen, Ailo; Varholm, Kristoffer
2018
A note on Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations. Zbl 1394.35329
Maremonti, Paolo
2018
Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in exterior domains. Zbl 1401.35241
Maremonti, Paolo; Shimizu, Senjo
2018
Spatial dynamics methods for solitary waves on a ferrofluid jet. Zbl 1419.35174
Groves, M. D.; Nilsson, D. V.
2018
Global existence of classical solutions with large oscillations and vacuum to the three-dimensional compressible nematic liquid crystal flows. Zbl 1404.76019
Li, Jinkai; Xu, Zhonghai; Zhang, Jianwen
2018
Linear inviscid damping for Couette flow in stratified fluid. Zbl 1460.76298
Yang, Jincheng; Lin, Zhiwu
2018
Local stability for an exact steady purely azimuthal flow which models the antarctic circumpolar current. Zbl 1458.76045
Ionescu-Kruse, Delia
2018
Solitary wave solutions to a class of modified Green-Naghdi systems. Zbl 1442.35333
Duchêne, Vincent; Nilsson, Dag; Wahlén, Erik
2018
Nonlinear thermal instability in compressible viscous flows without heat conductivity. Zbl 1404.76101
Jiang, Fei
2018
Generalized Forchheimer flows of isentropic gases. Zbl 1394.76111
Celik, Emine; Hoang, Luan; Kieu, Thinh
2018
Random attractors for the stochastic Navier-Stokes equations on the 2D unit sphere. Zbl 1390.35260
Brzeźniak, Zdzisław; Goldys, Beniamin; Le Gia, Q. T.
2018
Estimates of time-periodic fundamental solutions to the linearized Navier-Stokes equations. Zbl 1394.35320
Eiter, Thomas; Kyed, Mads
2018
$$N$$-modal steady water waves with vorticity. Zbl 1448.76037
Kozlov, Vladimir; Lokharu, Evgeniy
2018
Evolutionary Oseen model for generalized Newtonian fluid with multivalued nonmonotone friction law. Zbl 06955609
Migórski, Stanisław; Dudek, Sylwia
2018
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#### Cited by 3,298 Authors

 70 Feireisl, Eduard 62 Nečasová, Šárka 51 Fan, Jishan 41 Novotný, Antonín 38 Tan, Zhong 38 Zhou, Yong 33 Xin, Zhouping 32 Zhang, Zujin 31 Takahashi, Takéo 30 Farwig, Reinhard 30 Martin, Calin-Iulian 27 Pileckas, Konstantin 26 Seregin, Gregory A. 26 Wu, Jiahong 26 Yamazaki, Kazuo 25 Beirão da Veiga, Hugo 25 Titi, Edriss Saleh 25 Zhu, Changjiang 24 Jiang, Song 23 Gala, Sadek 23 Galdi, Giovanni Paolo 22 Berselli, Luigi Carlo 22 Breit, Dominic 22 Ducomet, Bernard 22 Li, Fucai 22 Maremonti, Paolo 21 Kang, Kyungkeun 21 Neustupa, Jiří 21 Růžička, Michael 21 Wen, Huanyao 21 Zhong, Xin 20 Ionescu-Kruse, Delia 20 Jin, Bum Ja 20 Xu, Xiaojing 19 Bresch, Didier 19 Pokorný, Milan 18 Amrouche, Chérif 18 Bae, Hyeong-Ohk 18 Jiang, Fei 18 Kreml, Ondřej 18 Málek, Josef 18 Wolf, Jörg 18 Ye, Zhuan 17 Deuring, Paul 17 Jiu, Quansen 17 Liu, Qiao 17 Wang, Dehua 17 Wang, Yanqing 16 Chae, Dongho 16 Fang, Daoyuan 16 Hieber, Matthias 16 Mácha, Václav 16 Matioc, Bogdan-Vasile 16 Shibata, Yoshihiro 16 Tang, Tong 16 Zhang, Ting 16 Zhang, Zhifei 16 Zhu, Mingxuan 15 Dong, Boqing 15 Fuchs, Martin 15 Hsu, Hung-Chu 15 Kim, Jaemyoung 15 Mucha, Piotr Bogusław 15 Yao, Zhengan 14 Bulíček, Miroslav 14 Choe, Hi Jun 14 Giga, Yoshikazu 14 Guo, Zhenhua 14 Han, Pigong 14 Maekawa, Yasunori 14 Nakamura, Gen 14 Qin, Yuming 14 Rebholz, Leo G. 14 Yang, Minsuk 14 Yuan, Baoquan 14 Zatorska, Ewelina 14 Zhai, Xiaoping 13 Chang, Tongkeun 13 Chen, Zhimin 13 Borges de Oliveira, Hermenegildo 13 Finn, Robert S. 13 Gao, Hongjun 13 Hillairet, Matthieu 13 Kohr, Mirela 13 Kwon, Young-Sam 13 Zhang, Jianwen 12 Abels, Helmut 12 Crispo, Francesca 12 Donatelli, Donatella 12 Gérard-Varet, David 12 Guo, Boling 12 Guo, Zhengguang 12 Haspot, Boris 12 Jiang, Peng 12 Kagei, Yoshiyuki 12 Kukavica, Igor 12 Layton, William J. 12 Li, Jing 12 Penel, Patrick 12 Russo, Remigio ...and 3,198 more Authors
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#### Cited in 358 Journals

 332 Journal of Differential Equations 329 Journal of Mathematical Fluid Mechanics 220 Journal of Mathematical Analysis and Applications 155 Archive for Rational Mechanics and Analysis 153 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 112 Nonlinear Analysis. Real World Applications 111 ZAMP. Zeitschrift für angewandte Mathematik und Physik 96 Discrete and Continuous Dynamical Systems 86 SIAM Journal on Mathematical Analysis 83 Journal of Mathematical Physics 80 Mathematical Methods in the Applied Sciences 63 Communications in Mathematical Physics 59 Computers & Mathematics with Applications 59 Nonlinearity 57 Applied Mathematics Letters 57 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 55 Applicable Analysis 53 Journal de Mathématiques Pures et Appliquées. Neuvième Série 50 Journal of Mathematical Sciences (New York) 49 Communications on Pure and Applied Analysis 47 Journal of Evolution Equations 45 Acta Applicandae Mathematicae 45 Boundary Value Problems 43 Journal of Fluid Mechanics 41 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 39 Communications in Partial Differential Equations 37 Applied Mathematics and Computation 37 Journal of Functional Analysis 32 Discrete and Continuous Dynamical Systems. Series B 31 Physica D 30 Comptes Rendus. Mathématique. Académie des Sciences, Paris 30 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 28 Journal of Nonlinear Science 27 Calculus of Variations and Partial Differential Equations 26 Applications of Mathematics 25 Monatshefte für Mathematik 24 Computer Methods in Applied Mechanics and Engineering 24 Annali di Matematica Pura ed Applicata. Serie Quarta 24 Mathematische Annalen 24 Proceedings of the American Mathematical Society 22 Advances in Mathematics 22 Quarterly of Applied Mathematics 21 Journal of Computational Physics 21 Journal of Dynamics and Differential Equations 21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 21 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 20 Chinese Annals of Mathematics. Series B 20 Acta Mathematicae Applicatae Sinica. English Series 20 Abstract and Applied Analysis 19 Computers and Fluids 19 Journal of Scientific Computing 19 NoDEA. Nonlinear Differential Equations and Applications 19 Discrete and Continuous Dynamical Systems. Series S 17 Journal of Computational and Applied Mathematics 17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 16 Applied Mathematics and Optimization 16 Transactions of the American Mathematical Society 16 Journal of Nonlinear Mathematical Physics 16 Evolution Equations and Control Theory 15 Science China. Mathematics 14 Journal of the Mathematical Society of Japan 14 Journal of Hyperbolic Differential Equations 13 Mathematische Nachrichten 13 Kinetic and Related Models 12 SIAM Journal on Control and Optimization 12 Physics of Fluids 12 Acta Mathematica Sinica. English Series 12 Analysis and Applications (Singapore) 12 Advances in Nonlinear Analysis 11 Manuscripta Mathematica 11 Numerische Mathematik 11 SIAM Journal on Numerical Analysis 10 Computational and Applied Mathematics 10 Mathematical Physics, Analysis and Geometry 10 European Journal of Mechanics. B. Fluids 10 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 9 Journal of Statistical Physics 9 Wave Motion 9 Inventiones Mathematicae 9 Zeitschrift für Analysis und ihre Anwendungen 9 Asymptotic Analysis 9 Japan Journal of Industrial and Applied Mathematics 9 Electronic Journal of Differential Equations (EJDE) 9 St. Petersburg Mathematical Journal 9 Advances in Mathematical Physics 9 Annals of PDE 9 Journal of Elliptic and Parabolic Equations 8 Czechoslovak Mathematical Journal 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Communications in Contemporary Mathematics 8 Acta Mathematica Scientia. Series B. (English Edition) 7 Mathematics of Computation 7 Annales Polonici Mathematici 7 Archiv der Mathematik 7 Ricerche di Matematica 7 Studies in Applied Mathematics 7 Applied Numerical Mathematics 7 Stochastic Processes and their Applications 7 SIAM Journal on Scientific Computing 7 Doklady Mathematics ...and 258 more Journals
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#### Cited in 55 Fields

 3,681 Partial differential equations (35-XX) 3,386 Fluid mechanics (76-XX) 267 Numerical analysis (65-XX) 221 Mechanics of deformable solids (74-XX) 164 Geophysics (86-XX) 161 Dynamical systems and ergodic theory (37-XX) 133 Systems theory; control (93-XX) 122 Calculus of variations and optimal control; optimization (49-XX) 108 Biology and other natural sciences (92-XX) 92 Classical thermodynamics, heat transfer (80-XX) 87 Probability theory and stochastic processes (60-XX) 82 Operator theory (47-XX) 78 Ordinary differential equations (34-XX) 78 Harmonic analysis on Euclidean spaces (42-XX) 73 Functional analysis (46-XX) 58 Statistical mechanics, structure of matter (82-XX) 42 Optics, electromagnetic theory (78-XX) 35 Real functions (26-XX) 32 Differential geometry (53-XX) 32 Global analysis, analysis on manifolds (58-XX) 30 Mechanics of particles and systems (70-XX) 19 Astronomy and astrophysics (85-XX) 18 Integral equations (45-XX) 12 Functions of a complex variable (30-XX) 11 Relativity and gravitational theory (83-XX) 11 Operations research, mathematical programming (90-XX) 10 Potential theory (31-XX) 9 Quantum theory (81-XX) 6 Number theory (11-XX) 6 Measure and integration (28-XX) 6 Approximations and expansions (41-XX) 6 Computer science (68-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistics (62-XX) 4 Special functions (33-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Field theory and polynomials (12-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Convex and discrete geometry (52-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)