Journal of Mathematical Fluid Mechanics Short Title: J. Math. Fluid Mech. Publisher: Springer (Birkhäuser), Basel ISSN: 1422-6928; 1422-6952/e Online: https://link.springer.com/journal/21/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,114 Publications (since 1999) References Indexed: 825 Publications with 23,950 References. all top 5 Latest Issues 26, No. 2 (2024) 26, No. 1 (2024) 25, No. 4 (2023) 25, No. 3 (2023) 25, No. 2 (2023) 25, No. 1 (2023) 24, No. 4 (2022) 24, No. 3 (2022) 24, No. 2 (2022) 24, No. 1 (2022) 23, No. 4 (2021) 23, No. 3 (2021) 23, No. 2 (2021) 23, No. 1 (2021) 22, No. 4 (2020) 22, No. 3 (2020) 22, No. 2 (2020) 22, No. 1 (2020) 21, No. 4 (2019) 21, No. 3 (2019) 21, No. 2 (2019) 21, No. 1 (2019) 20, No. 4 (2018) 20, No. 3 (2018) 20, No. 2 (2018) 20, No. 1 (2018) 19, No. 4 (2017) 19, No. 3 (2017) 19, No. 2 (2017) 19, No. 1 (2017) 18, No. 4 (2016) 18, No. 3 (2016) 18, No. 2 (2016) 18, No. 1 (2016) 17, No. 4 (2015) 17, No. 3 (2015) 17, No. 2 (2015) 17, No. 1 (2015) 16, No. 4 (2014) 16, No. 3 (2014) 16, No. 2 (2014) 16, No. 1 (2014) 15, No. 4 (2013) 15, No. 3 (2013) 15, No. 2 (2013) 15, No. 1 (2013) 14, No. 4 (2012) 14, No. 3 (2012) 14, No. 2 (2012) 14, No. 1 (2012) 13, No. 4 (2011) 13, No. 3 (2011) 13, No. 2 (2011) 13, No. 1 (2011) 12, No. 4 (2010) 12, No. 3 (2010) 12, No. 2 (2010) 12, No. 1 (2010) 11, No. 4 (2009) 11, No. 3 (2009) 11, No. 2 (2009) 11, No. 1 (2009) 10, No. 4 (2008) 10, No. 3 (2008) 10, No. 2 (2008) 10, No. 1 (2008) 9, No. 4 (2007) 9, No. 3 (2007) 9, No. 2 (2007) 9, No. 1 (2007) 8, No. 4 (2006) 8, No. 3 (2006) 8, No. 2 (2006) 8, No. 1 (2006) 7, No. 4 (2005) 7, No. 3 (2005) 7, No. 2 (2005) 7, No. 1 (2005) 7, Suppl. 3 (2005) 7, Suppl. 2 (2005) 7, Suppl. 1 (2005) 6, No. 4 (2004) 6, No. 3 (2004) 6, No. 2 (2004) 6, No. 1 (2004) 5, No. 4 (2003) 5, No. 3 (2003) 5, No. 2 (2003) 5, No. 1 (2003) 4, No. 4 (2002) 4, No. 3 (2002) 4, No. 2 (2002) 4, No. 1 (2002) 3, No. 4 (2001) 3, No. 3 (2001) 3, No. 2 (2001) 3, No. 1 (2001) 2, No. 4 (2000) 2, No. 3 (2000) 2, No. 2 (2000) ...and 3 more Volumes all top 5 Authors 15 Beirão da Veiga, Hugo 15 Finn, Robert Samuel 14 Galdi, Giovanni Paolo 13 Feireisl, Eduard 12 Friedlander, Susan Jean 12 Nečasová, Šárka 12 Neustupa, Jiří 11 Pileckas, Konstantin 10 Maremonti, Paolo 10 Nishida, Takaaki 10 Novotný, Antonín 9 Ionescu-Kruse, Delia 9 Wu, Jiahong 8 Deuring, Paul 8 Fuchs, Martin 8 Pokorný, Milan 8 Titi, Edriss Saleh 7 Chae, Dongho 7 Heywood, John G. 7 Iooss, Gérard 7 Kagei, Yoshiyuki 7 Renardy, Michael 7 Seregin, Gregory A. 7 Shibata, Yoshihiro 7 Ströhmer, Gerhard 7 Xin, Zhouping 7 Yoneda, Tsuyoshi 6 Bae, Hyeong-Ohk 6 Berselli, Luigi Carlo 6 Dai, Mimi 6 Farwig, Reinhard 6 Kozlov, Vladimir A. 6 Kyed, Mads 6 Maekawa, Yasunori 6 Padula, Mariarosaria 6 Rusin, Walter M. 6 Russo, Remigio 6 Secchi, Paolo 6 Skalák, Zdeněk 6 Wang, Yanqing 6 Zajączkowski, Wojciech M. 5 Barker, Tobias 5 Bhatnagar, Rajat 5 Bresch, Didier 5 Chen, Robin Ming 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 Giga, Yoshikazu 5 Jin, Bumja 5 Kang, Kyungkeun 5 Kohr, Mirela 5 Nazarov, Sergeĭ Aleksandrovich 5 Růžička, Michael 5 Takahashi, Takéo 5 Wittwer, Peter 5 Wolf, Jörg 5 Zhou, Yong 4 Abels, Helmut 4 Antontsev, Stanislav Nikolaevich 4 Bildhauer, Michael 4 Breit, Dominic 4 Cheskidov, Alexey 4 Dong, Hongjie 4 Grujić, Zoran 4 Guenther, Ronald B. 4 Henry, David 4 Hsu, Hung-Chu 4 Korobkov, Mikhail V. 4 Kukavica, Igor 4 Kweon, Jae Ryong 4 Kwon, Young-Sam 4 Maity, Debayan 4 Martin, Calin-Iulian 4 Marynets, Kateryna 4 Mohan, Manil Thankamani 4 Plotnikov, Pavel I. 4 Rannacher, Rolf 4 Sequeira, Adélia 4 Shvydkoy, Roman V. 4 Sohr, Hermann 4 Teramoto, Yoshiaki 4 Teramoto, Yuka 4 Thomann, Enrique A. 4 Tucsnak, Marius 4 Vogel, Thomas Irvin 4 Wahlén, Erik 4 Wendland, Wolfgang L. 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 Basarić, Danica ...and 1,132 more Authors all top 5 Fields 1,015 Fluid mechanics (76-XX) 959 Partial differential equations (35-XX) 52 Geophysics (86-XX) 48 Numerical analysis (65-XX) 40 Mechanics of deformable solids (74-XX) 37 Dynamical systems and ergodic theory (37-XX) 27 Classical thermodynamics, heat transfer (80-XX) 19 Operator theory (47-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 19 Biology and other natural sciences (92-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 17 Real functions (26-XX) 17 Probability theory and stochastic processes (60-XX) 15 Differential geometry (53-XX) 15 Systems theory; control (93-XX) 13 Functional analysis (46-XX) 12 Ordinary differential equations (34-XX) 10 History and biography (01-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Mechanics of particles and systems (70-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Potential theory (31-XX) 5 Optics, electromagnetic theory (78-XX) 4 Special functions (33-XX) 4 Integral equations (45-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 894 Publications have been cited 9,440 times in 6,397 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 498 2001 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 135 2012 On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129 Ladyzhenskaya, O. A.; Seregin, G. A. 134 1999 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 123 2005 Global regularity for a class of generalized magnetohydrodynamic equations. Zbl 1270.35371 Wu, Jiahong 120 2011 On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107 Amann, Herbert 119 2000 Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations. Zbl 1085.35097 Brenier, Y. 87 2005 Weak-strong uniqueness for the isentropic compressible Navier-Stokes system. Zbl 1270.35342 Germain, Pierre 85 2011 Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations. Zbl 1270.35339 Fan, Jishan; Jiang, Song; Nakamura, Gen; Zhou, Yong 84 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 83 2007 On the existence of strong solutions to a coupled fluid-structure evolution problem. Zbl 1068.35087 Beirão da Veiga, H. 82 2004 Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion. Zbl 1327.35314 Chae, Dongho; Wan, Renhui; Wu, Jiahong 80 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. 79 2000 Sharp inviscid limit results under Navier-type boundary conditions. An \(L^p\) theory. Zbl 1261.35099 Beirão da Veiga, H.; Crispo, Francesca 79 2010 Compressible flow in a half-space with Navier boundary conditions. Zbl 1095.35025 Hoff, David 73 2005 Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid. Zbl 1054.35061 Takahashi, Takéo; Tucsnak, Marius 70 2004 Existence of global weak solution for compressible fluid models of Korteweg type. Zbl 1270.35366 Haspot, Boris 68 2011 Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118 Berselli, Luigi C.; Diening, Lars; Ružička, Michael 58 2010 Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044 Seregin, G. A. 56 2002 Strong solutions for generalized Newtonian fluids. Zbl 1080.76005 Diening, Lars; Ružička, Michael 56 2005 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 55 2013 Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity? Zbl 1409.35047 Winkler, Michael 52 2018 Particle trajectories in linear water waves. Zbl 1162.76316 Constantin, Adrian; Villari, Gabriele 50 2008 Mathematical perspectives on large eddy simulation models for turbulent flows. Zbl 1094.76030 Guermond, J.-L.; Oden, J. T.; Prudhomme, S. 50 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 48 2006 Stabilizability of two-dimensional Navier-Stokes equations with help of a boundary feedback control. Zbl 0983.93021 Fursikov, A. V. 46 2001 Navier-Stokes equations: controllability by means of low modes forcing. Zbl 1075.93014 Agrachev, Andrey A.; Sarychev, Andrey V. 46 2005 Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. Zbl 1308.35165 Jiu, Quansen; Wang, Yi; Xin, Zhouping 46 2014 Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations. Zbl 1293.35236 Craig, Walter; Huang, Xiangdi; Wang, Yun 46 2013 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. 45 2016 Instability of equatorial water waves with an underlying current. Zbl 1308.76035 Genoud, François; Henry, David 43 2014 Boundary regularity of shear thickening flows. Zbl 1270.35360 Beirão da Veiga, Hugo; Kaplický, Petr; Ružička, Michael 43 2011 Local existence and finite-time blow-up in multidimensional radiation hydrodynamics. Zbl 1133.76043 Zhong, Xinhua; Jiang, Song 42 2007 Density-dependent incompressible fluids in bounded domains. Zbl 1142.76354 Danchin, R. 42 2006 On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics. Zbl 1327.76074 Jiang, Fei; Jiang, Song 42 2015 Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity. Zbl 0992.35066 Giga, Y.; Matsui, S.; Sawada, O. 40 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. 40 2011 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 38 2018 A decay property of the Fourier transform and its application to the Stokes problem. Zbl 1102.35300 Shibata, Yoshihiro; Shimizu, Senjo 37 2001 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. 37 2004 On two-dimensional magnetic Bénard problem with mixed partial viscosity. Zbl 1329.35245 Cheng, Jianfeng; Du, Lili 37 2015 Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping. Zbl 1162.76393 Marcati, Pierangelo; Mei, Ming; Rubino, Bruno 35 2005 Existence of a solution “in the large” for ocean dynamics equations. Zbl 1132.35443 Kobelkov, Georgy M. 34 2007 Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D. Zbl 1284.35307 Ding, Shijin; Li, Yinghua; Luo, Wanglong 34 2013 Existence for a three-dimensional steady-state fluid-structure interaction problem. Zbl 1009.76016 Grandmont, Céline 32 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 32 2005 Random data Cauchy theory for the generalized incompressible Navier-Stokes equations. Zbl 1294.35076 Zhang, Ting; Fang, Daoyuan 32 2012 The Navier-Stokes equations in nonendpoint borderline Lorentz spaces. Zbl 1326.35249 Phuc, Nguyen Cong 32 2015 A nonlocal shallow-water model arising from the full water waves with the Coriolis effect. Zbl 1416.35205 Gui, Guilong; Liu, Yue; Sun, Junwei 32 2019 Existence of weak solutions for the three-dimensional motion of an elastic structure in an incompressible fluid. Zbl 1171.74337 Boulakia, Muriel 31 2007 An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations. Zbl 0980.35129 Neustupa, Jiří; Pokorný, Milan 31 2000 On anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations. Zbl 1270.35354 Penel, Patrick; Pokorný, Milan 31 2011 Local well-posedness and blowup criterion of the Boussinesq equations in critical Besov spaces. Zbl 1195.76136 Xiaofeng, Liu; Wang, Meng; Zhang, Zhifei 31 2010 Regularity criteria of MHD system involving one velocity and one current density component. Zbl 1307.35237 Yamazaki, Kazuo 30 2014 On classical solutions to 2D shallow water equations with degenerate viscosities. Zbl 1369.35065 Li, Yachun; Pan, Ronghua; Zhu, Shengguo 30 2017 Strong well-posedness for a Korteweg-type model for the dynamics of a compressible non-isothermal fluid. Zbl 1270.76063 Kotschote, Matthias 30 2010 On a Serrin-type regularity criterion for the Navier-Stokes equations in terms of the pressure. Zbl 1131.35060 Struwe, Michael 29 2007 Decay in time of incompressible flows. Zbl 1048.35060 Kreiss, Heinz-Otto; Hagstrom, Thomas; Lorenz, Jens; Zingano, Paulo 29 2003 A sufficient condition on the pressure for the regularity of weak solutions to the Navier-Stokes equations. Zbl 0970.35105 Beirão da Veiga, Hugo 28 2000 A note on the exterior two-dimensional steady-state Navier-Stokes problem. Zbl 1186.35148 Russo, Antonio 28 2009 On the existence of the pressure for solutions of the variational Navier-Stokes equations. Zbl 0961.35107 Simon, Jacques 27 1999 Nearly-Hamiltonian structure for water waves with constant vorticity. Zbl 1162.76315 Constantin, Adrian; Ivanov, Rossen I.; Prodanov, Emil M. 27 2008 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 27 2015 The zero surface tension limit of two-dimensional interfacial Darcy flow. Zbl 1308.76260 Ambrose, David M. 27 2014 Global well-posedness for the 3D incompressible Hall-magnetohydrodynamic equations with Fujita-Kato type initial data. Zbl 1414.35177 Wan, Renhui; Zhou, Yong 27 2019 Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary. Zbl 1190.35174 Beirão da Veiga, H. 26 2009 Steady states of anisotropic generalized Newtonian fluids. Zbl 1162.76375 Apushkinskaya, Darya; Bildhauer, Michael; Fuchs, Martin 26 2005 Well-posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains. Zbl 1335.60108 Debbi, Latifa 26 2016 On regularity criteria for the 2D generalized MHD system. Zbl 1342.76028 Jiang, Zaihong; Wang, Yanan; Zhou, Yong 26 2016 Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition. Zbl 1256.35068 Wang, Lizhen; Xin, Zhouping; Zang, Aibin 26 2012 Singular limits of Voigt models in fluid dynamics. Zbl 1328.35167 Coti Zelati, Michele; Gal, Ciprian G. 25 2015 Maximal dissipation and well-posedness for the compressible Euler system. Zbl 1308.35190 Feireisl, Eduard 25 2014 Sharp conditions for Korn inequalities in Orlicz spaces. Zbl 1280.35106 Breit, Dominic; Diening, Lars 25 2012 Infinite energy solutions for damped Navier-Stokes equations in \({\mathbb{R}^2}\). Zbl 1293.35221 Zelik, Sergey 25 2013 A remark on \(L^{\infty}\) solutions to the 2-D Navier-Stokes equations. Zbl 1132.35437 Sawada, Okihiro; Taniuchi, Yasushi 24 2007 On the smoothness of a class of weak solutions to the Navier-Stokes equations. Zbl 0972.35089 Beirão da Veiga, Hugo 24 2000 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. 24 2006 On compactness, domain dependence and existence of steady state solutions to compressible isothermal Navier-Stokes equations. Zbl 1090.35140 Plotnikov, P. I.; Sokolowski, J. 24 2005 On regularity criteria for the 3D incompressible MHD equations involving one velocity component. Zbl 1334.35240 Jia, Xuanji; Zhou, Yong 24 2016 Bingham viscoplastic as a limit of non-Newtonian fluids. Zbl 1002.35097 Shelukhin, V. V. 24 2002 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 24 2010 Global weak solutions to equations of motion for magnetic fluids. Zbl 1162.76408 Amirat, Youcef; Hamdache, Kamel; Murat, François 23 2008 Weak solutions for a class of non-Newtonian fluids with energy transfer. Zbl 0974.35090 Consiglieri, Luisa 23 2000 Existence of strong solutions for a system coupling the Navier-Stokes equations and a damped wave equation. Zbl 1406.76009 Lequeurre, Julien 23 2013 Global existence for the generalized two-component Hunter-Saxton system. Zbl 1255.35188 Wu, Hao; Wunsch, Marcus 23 2012 The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system. Zbl 1214.76008 Feireisl, Eduard; Novotný, Antonin 22 2009 Modular nonlinear filter stabilization of methods for higher Reynolds numbers flow. Zbl 1294.76197 Layton, William; Rebholz, Leo G.; Trenchea, Catalin 22 2012 Solvability and regularity for an elliptic system prescribing the curl, divergence, and partial trace of a vector field on Sobolev-class domains. Zbl 1384.35025 Cheng, C. H. Arthur; Shkoller, Steve 22 2017 On the inviscid limit for the compressible Navier-Stokes system in an impermeable bounded domain. Zbl 1308.35178 Sueur, Franck 22 2014 An exact solution for nonlinear internal equatorial waves in the \(f\)-plane approximation. Zbl 1308.76054 Hsu, Hung-Chu 22 2014 Incompressible limit for the compressible flow of liquid crystals. Zbl 1309.35094 Wang, Dehua; Yu, Cheng 22 2014 Global classical solutions for MHD system. Zbl 1037.76068 Casella, Emanuala; Secchi, Paolo; Trebeschi, Paola 22 2003 Evolutionary Oseen model for generalized Newtonian fluid with multivalued nonmonotone friction law. Zbl 06955609 Migórski, Stanisław; Dudek, Sylwia 22 2018 Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary. Zbl 1213.76047 Beirão da Veiga, H. 21 2009 Homogenization of stationary Navier-Stokes equations in domains with tiny holes. Zbl 1330.35026 Feireisl, Eduard; Lu, Yong 21 2015 A weak-\(L^p\) Prodi-Serrin type regularity criterion for the Navier-Stokes equations. Zbl 1307.35186 Bosia, Stefano; Pata, Vittorino; Robinson, James C. 21 2014 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 21 2019 Global existence and exponential stability of spherically symmetric solutions to a compressible combustion radiative and reactive gas. Zbl 1346.35148 Qin, Yuming; Zhang, Jianlin; Su, Xing; Cao, Jie 21 2016 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. 21 2013 Effect of density dependent viscosities on multiphasic incompressible fluid models. Zbl 1220.35114 Bresch, Didier; Essoufi, El Hassan; Sy, Mamadou 20 2007 Well-posedness of solutions to stochastic fluid-structure interaction. Zbl 07796348 Kuan, Jeffrey; Čanić, Sunčica 1 2024 Numerical investigations of non-uniqueness for the Navier-Stokes initial value problem in borderline spaces. Zbl 1522.35363 Guillod, Julien; Šverák, Vladimír 10 2023 Improved well-posedness for the triple-deck and related models via concavity. Zbl 07735986 Gerard-Varet, David; Iyer, Sameer; Maekawa, Yasunori 3 2023 Homogenization of evolutionary incompressible Navier-Stokes system in perforated domains. Zbl 07638114 Lu, Yong; Yang, Peikang 3 2023 Non-conservative solutions of the Euler-\(\alpha\) equations. Zbl 1507.76018 Beekie, Rajendra; Novack, Matthew 3 2023 Compressible Navier-Stokes equations with potential temperature transport: stability of the strong solution and numerical error estimates. Zbl 1511.76088 Lukáčová-Medvid’ová, Mária; Schömer, Andreas 2 2023 Asymptotic stability of Landau solutions to Navier-Stokes system under \(L^p\)-perturbations. Zbl 07638115 Li, Yanyan; Zhang, Jingjing; Zhang, Ting 2 2023 Compressible fluids interacting with plates: regularity and weak-strong uniqueness. Zbl 1505.76077 Trifunović, Srđan 2 2023 Gevrey-class-3 regularity of the linearised hyperbolic Prandtl system on a strip. Zbl 1526.76015 De Anna, Francesco; Kortum, Joshua; Scrobogna, Stefano 1 2023 Allen-Cahn-Navier-Stokes-Voigt systems with moving contact lines. Zbl 07766055 Gal, Ciprian G.; Grasselli, Maurizio; Poiatti, Andrea 1 2023 Two-phase flows with bulk-surface interaction: thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with dynamic boundary conditions. Zbl 07716926 Giorgini, Andrea; Knopf, Patrik 1 2023 Spatially quasi-periodic solutions of the Euler equation. Zbl 1524.76127 Sun, Xu; Topalov, Peter 1 2023 Localized blow-up criterion for \(C^{1, \alpha}\) solutions to the 3D incompressible Euler equations. Zbl 1518.35538 Chae, Dongho; Wolf, Jörg 1 2023 Motion of rigid bodies of arbitrary shape in a viscous incompressible fluid: wellposedness and large time behaviour. Zbl 1522.35413 Maity, Debayan; Tucsnak, Marius 1 2023 Sturm-Liouville boundary value problem for a sea-breeze flow. Zbl 07638116 Marynets, Kateryna 1 2023 Wave breaking for the Constantin-Lannes equation revisited. Zbl 1504.35396 Wei, Long 1 2023 On loops in water wave branches and monotonicity of water waves. Zbl 1505.76012 Kozlov, Vladimir 1 2023 A consistent stochastic large-scale representation of the Navier-Stokes equations. Zbl 1506.76024 Debussche, Arnaud; Hug, Berenger; Mémin, Etienne 1 2023 Local existence and uniqueness of heat conductive compressible Navier-Stokes equations in the presence of vacuum without initial compatibility conditions. Zbl 1506.35140 Li, Jinkai; Zheng, Yasi 1 2023 Global existence of strong solutions to the Cauchy problem for a one-dimensional compressible non-Newtonian fluid. Zbl 1505.35297 Fang, Li; Zang, Aibin 1 2023 Strong solution for 3D compressible liquid crystal system with random force. Zbl 1508.35042 Qiu, Zhaoyang; Wang, Yixuan 1 2023 Dissipation properties of transport noise in the two-layer quasi-geostrophic model. Zbl 1508.76119 Carigi, Giulia; Luongo, Eliseo 1 2023 Analytical properties for a stochastic rotating shallow water model under location uncertainty. Zbl 1519.76032 Lang, Oana; Crisan, Dan; Mémin, Étienne 1 2023 Anomalous energy flux in critical \(L^p\)-based spaces. Zbl 1508.35047 Burczak, Jan; Sattig, Gabriel 1 2023 The Helmholtz decomposition of a BMO type vector field in a slightly perturbed half space. Zbl 07682880 Giga, Yoshikazu; Gu, Zhongyang 1 2023 Large-time behavior of a rigid body of arbitrary shape in a viscous fluid under the action of prescribed forces and torques. Zbl 07692232 Galdi, Giovanni P. 1 2023 Forces for the Navier-Stokes equations and the Koch and Tataru theorem. Zbl 1517.35155 Lemarié-Rieusset, Pierre Gilles 1 2023 Probabilistic descriptions of fluid flow: a survey. Zbl 1516.76063 Gallenmüller, Dennis; Wagner, Raphael; Wiedemann, Emil 1 2023 On the incompressible limit of a strongly stratified heat conducting fluid. Zbl 1520.76074 Basarić, Danica; Bella, Peter; Feireisl, Eduard; Oschmann, Florian; Titi, Edriss S. 1 2023 Number of singular points and energy equality for the co-rotational Beris-Edwards system modeling nematic liquid crystal flow. Zbl 1516.35336 Liu, Qiao 1 2023 The shallow-water models with cubic nonlinearity. Zbl 1490.35303 Chen, Robin Ming; Hu, Tianqiao; Liu, Yue 13 2022 On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations. Zbl 1521.76081 Kukavica, Igor; Nguyen, Trinh T.; Vicol, Vlad; Wang, Fei 6 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. 6 2022 An explicit threshold for the appearance of lift on the deck of a bridge. Zbl 1481.35311 Gazzola, Filippo; Patriarca, Clara 5 2022 Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains. Zbl 1503.76076 Oschmann, Florian 5 2022 Liouville theorems for a stationary and non-stationary coupled system of liquid crystal flows in local Morrey spaces. Zbl 1490.35325 Jarrín, Oscar 5 2022 On weak-strong uniqueness for stochastic equations of incompressible fluid flow. Zbl 1494.76007 Chaudhary, Abhishek; Koley, Ujjwal 5 2022 New thought on Matsumura-Nishida theory in the \(L_p\)-\(L_q\) Maximal regularity framework. Zbl 1491.35320 Shibata, Yoshihiro 5 2022 A single-component BKM-type regularity criterion for the inviscid axially symmetric Hall-MHD system. Zbl 1481.35338 Li, Zijin; Pan, Xinghong 5 2022 On asymptotic stability of the 3D Boussinesq equations with a velocity damping term. Zbl 1490.35308 Dong, Lihua 5 2022 Global well-posedness for the three-dimensional full compressible viscous non-resistive MHD system. Zbl 1484.76091 Li, Yang 5 2022 Homogenization and low Mach number limit of compressible Navier-Stokes equations in critically perforated domains. Zbl 1494.76061 Bella, Peter; Oschmann, Florian 4 2022 On the local pressure expansion for the Navier-Stokes equations. Zbl 1521.76079 Bradshaw, Zachary; Tsai, Tai-Peng 3 2022 The global solvability of 3-d inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density. Zbl 1508.76131 Xu, Fuyi; Qiao, Liening; Fu, Peng 3 2022 On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term. Zbl 1503.35151 Bresch, D.; Gisclon, M.; Lacroix-Violet, I.; Vasseur, A. 3 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 3 2022 Large-time behavior for compressible Navier-Stokes-Fourier system in the whole space. Zbl 1486.76068 He, Lingbing; Huang, Jingchi; Wang, Chao 3 2022 \(H^\infty\)-calculus for the surface Stokes operator and applications. Zbl 1502.35127 Simonett, Gieri; Wilke, Mathias 3 2022 Nonlocal Cahn-Hilliard-Hele-Shaw systems with singular potential and degenerate mobility. Zbl 1482.35167 Cavaterra, Cecilia; Frigeri, Sergio; Grasselli, Maurizio 2 2022 On the space analyticity of the Nernst-Planck-Navier-Stokes system. Zbl 1487.35310 Abdo, Elie; Ignatova, Mihaela 2 2022 On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle. Zbl 1490.76081 Eiter, Thomas 2 2022 Global regularity for the incompressible Oldroyd-B model with only stress tensor dissipation in critical \(L^p\) framework. Zbl 1490.35304 Chen, Zhi; Liu, Lvqiao; Qin, Dongdong; Ye, Weikui 2 2022 Nonlinear stability of solutions on the outer pressure problem of compressible Navier-Stokes system with temperature-dependent heat conductivity. Zbl 1490.35300 Cai, Guocai; Chen, Canpei; Peng, Yanfang 2 2022 Global well-posedness for two-dimensional flows of viscoelastic rate-type fluids with stress diffusion. Zbl 1490.76014 Bulíček, Miroslav; Málek, Josef; Rodriguez, Casey 2 2022 On uniqueness and helicity conservation of weak solutions to the electron-MHD system. Zbl 1491.35333 Dai, Mimi; Krol, Jacob; Liu, Han 2 2022 Rayleigh-Taylor instability for viscous incompressible capillary fluids. Zbl 1491.35326 Zhang, Zhipeng 2 2022 Global strong solution to the two-dimensional full compressible Navier-Stokes equations with large viscosity. Zbl 1507.35141 Li, Hao; Shang, Zhaoyang 2 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 2 2022 Global existence and large-time behavior to a two-phase flow model with magnetic field. Zbl 1492.35189 Xiao, Changguo 2 2022 Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport. Zbl 1496.76116 Lukáčová-Medvid’ová, Mária; Schömer, Andreas 2 2022 Wave breaking for a nonlinear shallow water equation. Zbl 1504.35459 Zhao, Jianmin; Yang, Shaojie 2 2022 Rate of the enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere. Zbl 1493.35069 Maekawa, Yasunori; Miura, Tatsu-Hiko 2 2022 A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1513.76060 Seregin, G. 2 2022 On the Bingham flow in a thin Y-like shaped structure. Zbl 1484.76005 Bunoiu, Renata; Gaudiello, Antonio 2 2022 Dyadic models for ideal MHD. Zbl 1490.35306 Dai, Mimi; Friedlander, Susan 2 2022 A note on local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1518.76014 Seregin, G. 2 2022 Navier-Stokes flow past a rigid body that moves by time-periodic motion. Zbl 1497.76023 Galdi, Giovanni P. 2 2022 A minimum critical blowup rate for the high-dimensional Navier-Stokes equations. Zbl 1513.76059 Palasek, Stan 2 2022 On the energy equality for distributional solutions to Navier-Stokes-Maxwell system. Zbl 1513.76178 Wu, Fan 2 2022 Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization. Zbl 1492.76071 Burman, Erik; Hansbo, Peter; Larson, Mats G. 1 2022 Low Mach number limit of full compressible Navier-Stokes equations with revised Maxwell law. Zbl 1480.35014 Wang, Zhao; Hu, Yuxi 1 2022 Resolvent estimates for a compressible fluid model of Korteweg type and their application. Zbl 1481.35333 Kobayashi, Takayuki; Murata, Miho; Saito, Hirokazu 1 2022 Local existence of solutions to a Navier-Stokes-nonlinear-Schrödinger model of superfluidity. Zbl 1513.35428 Jayanti, Pranava Chaitanya; Trivisa, Konstantina 1 2022 Existence of dissipative (and weak) solutions for models of general compressible viscous fluids with linear pressure. Zbl 1506.35154 Basarić, Danica 1 2022 Energy equality of the 3D Navier-Stokes equations and generalized Newtonian equations. Zbl 1493.35072 Wang, Yanqing; Mei, Xue; Huang, Yike 1 2022 Euler system with a polytropic equation of state as a vanishing viscosity limit. Zbl 1503.76080 Feireisl, Eduard; Klingenberg, Christian; Markfelder, Simon 1 2022 Global controllability of the Navier-Stokes equations in the presence of curved boundary with no-slip conditions. Zbl 1491.93017 Liao, Jiajiang; Sueur, Franck; Zhang, Ping 1 2022 Characterization of three-dimensional Euler flows supported on finitely many Fourier modes. Zbl 1492.35206 Kishimoto, Nobu; Yoneda, Tsuyoshi 1 2022 Existence and exponential behavior for the stochastic 2D Cahn-Hilliard-Oldroyd model of order one. Zbl 1508.35067 Deugoué, G.; Jidjou Moghomye, B.; Tachim Medjo, T. 1 2022 Steady compressible Navier-Stokes-Fourier equations with Dirichlet boundary condition for the temperature. Zbl 1492.76094 Pokorný, Milan 1 2022 The Fujita-Kato approach for the Navier-Stokes equations with moving boundary and its application. Zbl 1493.35065 Farwig, Reinhard; Tsuda, Kazuyuki 1 2022 A numerical approach for the existence of dissipative weak solutions to a compressible two-fluid model. Zbl 1496.76115 Li, Yang; She, Bangwei 1 2022 Time-asymptotic study of a viscous axisymmetric fluid without swirl. Zbl 1500.76011 Vila, Quentin 1 2022 On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations-rigorous justification. Zbl 1492.35182 Gao, Hongjun; Nečasová, Šárka; Tang, Tong 1 2022 Instability of boundary layers with the Navier boundary condition. Zbl 1493.35070 Quarisa, Lorenzo; Rodrigo, José L. 1 2022 Explicit solutions to the 3D incompressible Euler equations in Lagrangian formulation. Zbl 1501.35303 Saleva, Tomi; Tuomela, Jukka 1 2022 Refined pointwise estimates for solutions to the 1D barotropic compressible Navier-Stokes equations: an application to the long-time behavior of a point mass. Zbl 1498.76082 Koike, Kai 1 2022 Global well-posedness of a two-component b-family equations in \(H^{s-1, p}(\mathbb{R})\times h^{s, p}(\mathbb{R})\). Zbl 07583496 Du, Lijun; Wu, Xinglong 1 2022 Large-time behavior of solutions to an inflow problem for the compressible Navier-Stokes-Korteweg equations in the half space. Zbl 1501.76066 Li, Yeping; Chen, Zhengzheng 1 2022 On the existence of weak solutions for the 2D incompressible Euler equations with in-out flow and source and sink points. Zbl 1508.76013 Bravin, Marco 1 2022 Global large solutions to the compressible Navier-Stokes equations in critical Besov space \(\dot{B}^{-1}_{\infty ,\infty } \). Zbl 1490.35332 Li, Jinlu; Yu, Yanghai; Zhu, Weipeng; Yin, Zhaoyang 1 2022 Asymptotic behavior of weak solutions to the inhomogeneous Navier-Stokes equations. Zbl 1521.76080 Han, Pigong; Liu, Chenggang; Lei, Keke; Wang, Xuewen 1 2022 Global smooth solutions of the Nernst-Planck-Darcy system. Zbl 1484.76089 Ignatova, Mihaela; Shu, Jingyang 1 2022 Global convergence to compressible full Navier-Stokes equations by approximation with Oldroyd-type constitutive laws. Zbl 1507.35147 Peng, Yue-Jun; Zhao, Liang 1 2022 Global well posedness for a Q-tensor model of nematic liquid crystals. Zbl 1491.76006 Murata, Miho; Shibata, Yoshihiro 1 2022 Global wellposedness of the primitive equations with nonlinear equation of state in critical spaces. Zbl 1490.35298 Binz, Tim; Hieber, Matthias 1 2022 Maximal regularity for compressible two-fluid system. Zbl 1491.76059 Piasecki, Tomasz; Zatorska, Ewelina 1 2022 Theoretical and numerical analysis of a simple model derived from compressible turbulence. Zbl 1491.76037 Gavrilyuk, Sergey; Hérard, Jean-Marc; Hurisse, Olivier; Toufaili, Ali 1 2022 Exact viscous compressible flow describing the dynamics of the atmosphere. Zbl 1491.76089 Ionescu-Kruse, Delia 1 2022 Remarks on the solution map for Yudovich solutions of the Euler equations. Zbl 1495.76016 Nguyen, Huy Q. 1 2022 ...and 794 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,613 Authors 85 Nečasová, Šárka 84 Feireisl, Eduard 59 Fan, Jishan 48 Novotný, Antonín 48 Wu, Jiahong 46 Tan, Zhong 41 Zhong, Xin 40 Takahashi, Takéo 39 Xin, Zhouping 37 Zhou, Yong 36 Farwig, Reinhard 36 Martin, Calin-Iulian 35 Zhang, Zujin 35 Zhu, Changjiang 33 Gala, Sadek 33 Li, Fucai 33 Pileckas, Konstantin 32 Titi, Edriss Saleh 30 Beirão da Veiga, Hugo 30 Berselli, Luigi Carlo 30 Galdi, Giovanni Paolo 30 Kim, Jaemyoung 28 Breit, Dominic 28 Jiang, Song 28 Maremonti, Paolo 28 Růžička, Michael 28 Yamazaki, Kazuo 27 Kang, Kyungkeun 27 Pokorný, Milan 27 Wang, Yanqing 26 Chae, Dongho 26 Seregin, Gregory A. 25 Mácha, Václav 25 Mohan, Manil Thankamani 25 Neustupa, Jiří 25 Xu, Xiaojing 25 Yao, Zhengan 25 Zhang, Zhifei 24 Bresch, Didier 24 Ducomet, Bernard 24 Wen, Huanyao 24 Zhai, Xiaoping 24 Zhang, Ting 23 Guo, Zhengguang 23 Hillairet, Matthieu 23 Kukavica, Igor 23 Liu, Qiao 23 Shibata, Yoshihiro 23 Tang, Tong 23 Wolf, Jörg 22 Gao, Hongjun 22 Ionescu-Kruse, Delia 22 Jiang, Fei 22 Jin, Bumja 22 Jiu, Quansen 22 Matioc, Bogdan-Vasile 22 Muha, Boris 21 Abels, Helmut 21 Bae, Hyeong-Ohk 21 Henry, David 21 Hieber, Matthias 20 Dong, Boqing 20 Ju, Qiangchang 20 Kreml, Ondřej 20 Málek, Josef 20 Wang, Dehua 20 Ye, Zhuan 20 Yuan, Baoquan 19 Amrouche, Chérif 19 Deuring, Paul 19 Guo, Boling 19 Ragusa, Maria Alessandra 19 Wang, Jinrong 19 Zatorska, Ewelina 19 Zvyagin, Viktor Grigor’evich 18 Bulíček, Miroslav 18 Giga, Yoshikazu 18 Guo, Zhenhua 18 Kozono, Hideo 18 Kwon, Young-Sam 18 Li, Yeping 18 Schwarzacher, Sebastian 18 Wang, Weiwei 18 Zhang, Jianwen 18 Zhang, Yinghui 17 Barker, Tobias 17 Crispo, Francesca 17 Dai, Mimi 17 Fečkan, Michal 17 Ha, Seung-Yeal 17 Han, Pigong 17 Maekawa, Yasunori 17 Migórski, Stanisław 17 Mucha, Piotr Bogusław 17 Rebholz, Leo G. 17 Sin, Cholmin 17 Yang, Minsuk 17 Zhu, Shengguo 16 Choe, Hi Jun 16 Fang, Daoyuan ...and 4,513 more Authors all top 5 Cited in 447 Journals 470 Journal of Differential Equations 467 Journal of Mathematical Fluid Mechanics 275 Journal of Mathematical Analysis and Applications 183 Archive for Rational Mechanics and Analysis 177 Nonlinear Analysis. 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