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: 1,167 Publications (since 1999) References Indexed: 878 Publications with 25,970 References. all top 5 Latest Issues 26, No. 4 (2024) 26, No. 3 (2024) 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) ...and 5 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 10 Wu, Jiahong 9 Ionescu-Kruse, Delia 8 Deuring, Paul 8 Fuchs, Martin 8 Pokorný, Milan 8 Titi, Edriss Saleh 7 Bae, Hyeong-Ohk 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 7 Zajączkowski, Wojciech M. 6 Berselli, Luigi Carlo 6 Dai, Mimi 6 Farwig, Reinhard 6 Kozlov, Vladimir A. 6 Kukavica, Igor 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 Zhai, Xiaoping 5 Abels, Helmut 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 Grujić, Zoran 5 Jin, Bumja 5 Kang, Kyungkeun 5 Kohr, Mirela 5 Marynets, Kateryna 5 Mohan, Manil Thankamani 5 Nazarov, Sergeĭ Aleksandrovich 5 Růžička, Michael 5 Takahashi, Takéo 5 Wittwer, Peter 5 Wolf, Jörg 5 Ye, Zhuan 5 Yin, Zhaoyang 5 Yu, Yanghai 5 Zhou, Yong 4 Antontsev, Stanislav Nikolaevich 4 Bildhauer, Michael 4 Breit, Dominic 4 Cheskidov, Alexey 4 Dong, Hongjie 4 Guenther, Ronald B. 4 Henry, David 4 Hsu, Hung-Chu 4 Korobkov, Mikhail V. 4 Kweon, Jae Ryong 4 Kwon, Young-Sam 4 Lewandowski, Roger 4 Li, Jinlu 4 Lokharu, Evgeniy 4 Maity, Debayan 4 Martin, Calin-Iulian 4 Plotnikov, Pavel I. 4 Rannacher, Rolf 4 Sequeira, Adélia 4 Shvydkoy, Roman V. 4 Sohr, Hermann 4 Suen, Anthony 4 Teramoto, Yoshiaki 4 Teramoto, Yuka 4 Thomann, Enrique A. 4 Tucsnak, Marius 4 Turek, Stefan 4 Vogel, Thomas Irvin 4 Wahlén, Erik ...and 1,202 more Authors all top 5 Fields 1,061 Fluid mechanics (76-XX) 1,006 Partial differential equations (35-XX) 56 Numerical analysis (65-XX) 55 Geophysics (86-XX) 41 Mechanics of deformable solids (74-XX) 40 Dynamical systems and ergodic theory (37-XX) 30 Classical thermodynamics, heat transfer (80-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 20 Biology and other natural sciences (92-XX) 19 Operator theory (47-XX) 18 Probability theory and stochastic processes (60-XX) 17 Real functions (26-XX) 16 Systems theory; control (93-XX) 15 Differential geometry (53-XX) 13 Ordinary differential equations (34-XX) 13 Functional analysis (46-XX) 10 History and biography (01-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Mechanics of particles and systems (70-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Optics, electromagnetic theory (78-XX) 5 Potential theory (31-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 963 Publications have been cited 10,640 times in 7,170 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 535 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 145 2012 On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129 Ladyzhenskaya, O. A.; Seregin, G. A. 144 1999 On the strong solvability of the Navier-Stokes equations. Zbl 0989.35107 Amann, Herbert 131 2000 Global regularity for a class of generalized magnetohydrodynamic equations. Zbl 1270.35371 Wu, Jiahong 129 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 128 2005 Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations. Zbl 1085.35097 Brenier, Y. 94 2005 Weak-strong uniqueness for the isentropic compressible Navier-Stokes system. Zbl 1270.35342 Germain, Pierre 91 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 91 2007 On the existence of strong solutions to a coupled fluid-structure evolution problem. Zbl 1068.35087 Beirão da Veiga, H. 86 2004 Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations. Zbl 1270.35339 Fan, Jishan; Jiang, Song; Nakamura, Gen; Zhou, Yong 86 2011 Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion. Zbl 1327.35314 Chae, Dongho; Wan, Renhui; Wu, Jiahong 85 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. 85 2000 Sharp inviscid limit results under Navier-type boundary conditions. An \(L^p\) theory. Zbl 1261.35099 Beirão da Veiga, H.; Crispo, Francesca 84 2010 Compressible flow in a half-space with Navier boundary conditions. Zbl 1095.35025 Hoff, David 77 2005 Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid. Zbl 1054.35061 Takahashi, Takéo; Tucsnak, Marius 76 2004 Existence of global weak solution for compressible fluid models of Korteweg type. Zbl 1270.35366 Haspot, Boris 76 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 68 2013 Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118 Berselli, Luigi C.; Diening, Lars; Ružička, Michael 66 2010 Strong solutions for generalized Newtonian fluids. Zbl 1080.76005 Diening, Lars; Ružička, Michael 58 2005 Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044 Seregin, G. A. 58 2002 Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity? Zbl 1409.35047 Winkler, Michael 57 2018 Particle trajectories in linear water waves. Zbl 1162.76316 Constantin, Adrian; Villari, Gabriele 55 2008 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. 53 2016 Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. Zbl 1308.35165 Jiu, Quansen; Wang, Yi; Xin, Zhouping 52 2014 Mathematical perspectives on large eddy simulation models for turbulent flows. Zbl 1094.76030 Guermond, J.-L.; Oden, J. T.; Prudhomme, S. 51 2004 Boundary regularity of shear thickening flows. Zbl 1270.35360 Beirão da Veiga, Hugo; Kaplický, Petr; Ružička, Michael 50 2011 Stabilizability of two-dimensional Navier-Stokes equations with help of a boundary feedback control. Zbl 0983.93021 Fursikov, A. V. 50 2001 Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations. Zbl 1293.35236 Craig, Walter; Huang, Xiangdi; Wang, Yun 49 2013 A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032 Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann 49 2006 Navier-Stokes equations: controllability by means of low modes forcing. Zbl 1075.93014 Agrachev, Andrey A.; Sarychev, Andrey V. 47 2005 Density-dependent incompressible fluids in bounded domains. Zbl 1142.76354 Danchin, R. 47 2006 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 46 2018 On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics. Zbl 1327.76074 Jiang, Fei; Jiang, Song 45 2015 On two-dimensional magnetic Bénard problem with mixed partial viscosity. Zbl 1329.35245 Cheng, Jianfeng; Du, Lili 44 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 44 2005 Local existence and finite-time blow-up in multidimensional radiation hydrodynamics. Zbl 1133.76043 Zhong, Xinhua; Jiang, Song 44 2007 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. 43 2011 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. 42 2004 Instability of equatorial water waves with an underlying current. Zbl 1308.76035 Genoud, François; Henry, David 42 2014 Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D. Zbl 1284.35307 Ding, Shijin; Li, Yinghua; Luo, Wanglong 41 2013 Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity. Zbl 0992.35066 Giga, Y.; Matsui, S.; Sawada, O. 41 2001 A nonlocal shallow-water model arising from the full water waves with the Coriolis effect. Zbl 1416.35205 Gui, Guilong; Liu, Yue; Sun, Junwei 39 2019 A decay property of the Fourier transform and its application to the Stokes problem. Zbl 1102.35300 Shibata, Yoshihiro; Shimizu, Senjo 38 2001 Strong well-posedness for a Korteweg-type model for the dynamics of a compressible non-isothermal fluid. Zbl 1270.76063 Kotschote, Matthias 37 2010 Regularity criteria of MHD system involving one velocity and one current density component. Zbl 1307.35237 Yamazaki, Kazuo 36 2014 Existence of a solution “in the large” for ocean dynamics equations. Zbl 1132.35443 Kobelkov, Georgy M. 36 2007 Existence of weak solutions for the three-dimensional motion of an elastic structure in an incompressible fluid. Zbl 1171.74337 Boulakia, Muriel 36 2007 Random data Cauchy theory for the generalized incompressible Navier-Stokes equations. Zbl 1294.35076 Zhang, Ting; Fang, Daoyuan 35 2012 An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations. Zbl 0980.35129 Neustupa, Jiří; Pokorný, Milan 34 2000 Local well-posedness and blowup criterion of the Boussinesq equations in critical Besov spaces. Zbl 1195.76136 Xiaofeng, Liu; Wang, Meng; Zhang, Zhifei 34 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 34 2005 Existence for a three-dimensional steady-state fluid-structure interaction problem. Zbl 1009.76016 Grandmont, Céline 34 2002 On anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations. Zbl 1270.35354 Penel, Patrick; Pokorný, Milan 33 2011 The Navier-Stokes equations in nonendpoint borderline Lorentz spaces. Zbl 1326.35249 Phuc, Nguyen Cong 32 2015 Decay in time of incompressible flows. Zbl 1048.35060 Kreiss, Heinz-Otto; Hagstrom, Thomas; Lorenz, Jens; Zingano, Paulo 31 2003 Well-posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains. Zbl 1335.60108 Debbi, Latifa 30 2016 Maximal dissipation and well-posedness for the compressible Euler system. Zbl 1308.35190 Feireisl, Eduard 30 2014 On classical solutions to 2D shallow water equations with degenerate viscosities. Zbl 1369.35065 Li, Yachun; Pan, Ronghua; Zhu, Shengguo 30 2017 Global well-posedness for the 3D incompressible Hall-magnetohydrodynamic equations with Fujita-Kato type initial data. Zbl 1414.35177 Wan, Renhui; Zhou, Yong 30 2019 On the existence of the pressure for solutions of the variational Navier-Stokes equations. Zbl 0961.35107 Simon, Jacques 29 1999 A sufficient condition on the pressure for the regularity of weak solutions to the Navier-Stokes equations. Zbl 0970.35105 Beirão da Veiga, Hugo 29 2000 On a Serrin-type regularity criterion for the Navier-Stokes equations in terms of the pressure. Zbl 1131.35060 Struwe, Michael 29 2007 Nearly-Hamiltonian structure for water waves with constant vorticity. Zbl 1162.76315 Constantin, Adrian; Ivanov, Rossen I.; Prodanov, Emil M. 29 2008 Global weak solutions to equations of motion for magnetic fluids. Zbl 1162.76408 Amirat, Youcef; Hamdache, Kamel; Murat, François 29 2008 A note on the exterior two-dimensional steady-state Navier-Stokes problem. Zbl 1186.35148 Russo, Antonio 29 2009 Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary. Zbl 1190.35174 Beirão da Veiga, H. 29 2009 Singular limits of Voigt models in fluid dynamics. Zbl 1328.35167 Coti Zelati, Michele; Gal, Ciprian G. 28 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 28 2015 Steady states of anisotropic generalized Newtonian fluids. Zbl 1162.76375 Apushkinskaya, Darya; Bildhauer, Michael; Fuchs, Martin 28 2005 Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition. Zbl 1256.35068 Wang, Lizhen; Xin, Zhouping; Zang, Aibin 28 2012 The zero surface tension limit of two-dimensional interfacial Darcy flow. Zbl 1308.76260 Ambrose, David M. 27 2014 On regularity criteria for the 3D incompressible MHD equations involving one velocity component. Zbl 1334.35240 Jia, Xuanji; Zhou, Yong 27 2016 On regularity criteria for the 2D generalized MHD system. Zbl 1342.76028 Jiang, Zaihong; Wang, Yanan; Zhou, Yong 27 2016 Sharp conditions for Korn inequalities in Orlicz spaces. Zbl 1280.35106 Breit, Dominic; Diening, Lars 27 2012 Existence of strong solutions for a system coupling the Navier-Stokes equations and a damped wave equation. Zbl 1406.76009 Lequeurre, Julien 27 2013 Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations. Zbl 1307.76083 Larios, Adam; Titi, Edriss S. 26 2014 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 26 2017 Evolutionary Oseen model for generalized Newtonian fluid with multivalued nonmonotone friction law. Zbl 06955609 Migórski, Stanisław; Dudek, Sylwia 25 2018 Infinite energy solutions for damped Navier-Stokes equations in \({\mathbb{R}^2}\). Zbl 1293.35221 Zelik, Sergey 25 2013 Bingham viscoplastic as a limit of non-Newtonian fluids. Zbl 1002.35097 Shelukhin, V. V. 25 2002 Weak solutions for a class of non-Newtonian fluids with energy transfer. Zbl 0974.35090 Consiglieri, Luisa 25 2000 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 25 2010 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 25 2016 Homogenization of stationary Navier-Stokes equations in domains with tiny holes. Zbl 1330.35026 Feireisl, Eduard; Lu, Yong 24 2015 On the inviscid limit for the compressible Navier-Stokes system in an impermeable bounded domain. Zbl 1308.35178 Sueur, Franck 24 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 24 2019 On the smoothness of a class of weak solutions to the Navier-Stokes equations. Zbl 0972.35089 Beirão da Veiga, Hugo 24 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. 24 2005 Global existence for the generalized two-component Hunter-Saxton system. Zbl 1255.35188 Wu, Hao; Wunsch, Marcus 24 2012 Approximation of the \(p\)-Stokes equations with equal-order finite elements. Zbl 1430.76365 Hirn, Adrian 24 2013 The shallow-water models with cubic nonlinearity. Zbl 1490.35303 Chen, Robin Ming; Hu, Tianqiao; Liu, Yue 24 2022 A remark on \(L^{\infty}\) solutions to the 2-D Navier-Stokes equations. Zbl 1132.35437 Sawada, Okihiro; Taniuchi, Yasushi 24 2007 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 Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary. Zbl 1213.76047 Beirão da Veiga, H. 24 2009 Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains. Zbl 1334.35052 Kohr, Mirela; Lanza de Cristoforis, Massimo; Wendland, Wolfgang L. 23 2014 A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities. Zbl 1394.35353 Dedè, Luca; Garcke, Harald; Lam, Kei Fong 23 2018 Modular nonlinear filter stabilization of methods for higher Reynolds numbers flow. Zbl 1294.76197 Layton, William; Rebholz, Leo G.; Trenchea, Catalin 23 2012 A weak-\(L^p\) Prodi-Serrin type regularity criterion for the Navier-Stokes equations. Zbl 1307.35186 Bosia, Stefano; Pata, Vittorino; Robinson, James C. 23 2014 Incompressible limit for the compressible flow of liquid crystals. Zbl 1309.35094 Wang, Dehua; Yu, Cheng 23 2014 Mathematical analysis of a diffuse interface model for multi-phase flows of incompressible viscous fluids with different densities. Zbl 1537.35277 Abels, Helmut; Garcke, Harald; Poiatti, Andrea 4 2024 Nearly toroidal, periodic and quasi-periodic motions of fluid particles driven by the Gavrilov solutions of the Euler equations. Zbl 1527.35226 Baldi, Pietro 2 2024 Well-posedness of solutions to stochastic fluid-structure interaction. Zbl 1542.76019 Kuan, Jeffrey; Čanić, Sunčica 2 2024 On the support of anomalous dissipation measures. Zbl 07924630 De Rosa, Luigi; Drivas, Theodore D.; Inversi, Marco 2 2024 Data assimilation to the primitive equations with \(L^p\)-\(L^q\)-based maximal regularity approach. Zbl 1531.76098 Furukawa, Ken 1 2024 Temporal regularity of symmetric stochastic \(p\)-Stokes systems. Zbl 1537.35133 Wichmann, Jörn 1 2024 Linear instability of symmetric logarithmic spiral vortex sheets. Zbl 07830181 Cieślak, Tomasz; Kokocki, Piotr; Ożański, Wojciech S. 1 2024 Stability for the magnetic Bénard system with partial dissipation. Zbl 1543.35177 Wang, Yuzhu; Zhang, Yuhang; Zhai, Xiaoping 1 2024 Ill-posedness of the Novikov equation in the critical Besov space \(B^1_{\infty, 1}(\mathbb{R})\). Zbl 1539.35218 Li, Jinlu; Yu, Yanghai; Zhu, Weipeng 1 2024 Global well-posedness of classical solutions to the compressible Navier-Stokes-Poisson equations with slip boundary conditions in 3D bounded domains. Zbl 1539.35184 Chen, Yazhou; Huang, Bin; Shi, Xiaoding 1 2024 On the steady flows of viscous compressible magnetohydrodynamic equations in an infinite horizontal layer. Zbl 07867863 Benabidallah, Rachid; Ebobisse, François 1 2024 Non-uniqueness and energy dissipation for 2D Euler equations with vorticity in Hardy spaces. Zbl 1536.35248 Buck, Miriam; Modena, Stefano 1 2024 Navier-Stokes equations in the half space with non compatible data. Zbl 1541.76022 Argenziano, Andrea; Cannone, Marco; Sammartino, Marco 1 2024 Asymptotic behavior of spherically symmetric solutions to the compressible Navier-Stokes equation towards stationary waves. Zbl 1545.35082 Hashimoto, Itsuko; Nishibata, Shinya; Sugizaki, Souhei 1 2024 Numerical investigations of non-uniqueness for the Navier-Stokes initial value problem in borderline spaces. Zbl 1522.35363 Guillod, Julien; Šverák, Vladimír 13 2023 Homogenization of evolutionary incompressible Navier-Stokes system in perforated domains. Zbl 1543.76087 Lu, Yong; Yang, Peikang 5 2023 Two-phase flows with bulk-surface interaction: thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with dynamic boundary conditions. Zbl 1529.35383 Giorgini, Andrea; Knopf, Patrik 5 2023 Dissipation properties of transport noise in the two-layer quasi-geostrophic model. Zbl 1508.76119 Carigi, Giulia; Luongo, Eliseo 4 2023 Analytical properties for a stochastic rotating shallow water model under location uncertainty. Zbl 1519.76032 Lang, Oana; Crisan, Dan; Mémin, Étienne 4 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 4 2023 Compressible fluids interacting with plates: regularity and weak-strong uniqueness. Zbl 1505.76077 Trifunović, Srđan 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 3 2023 Sturm-Liouville boundary value problem for a sea-breeze flow. Zbl 1540.76050 Marynets, Kateryna 3 2023 Non-conservative solutions of the Euler-\(\alpha\) equations. Zbl 1507.76018 Beekie, Rajendra; Novack, Matthew 3 2023 Allen-Cahn-Navier-Stokes-Voigt systems with moving contact lines. Zbl 1544.76111 Gal, Ciprian G.; Grasselli, Maurizio; Poiatti, Andrea 3 2023 A highly nonlinear shallow-water model arising from the full water waves with the Coriolis effect. Zbl 1514.35357 Li, Min; Liu, Xingxing; Liu, Yu 3 2023 Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions. Zbl 1528.76096 Feireisl, Eduard; Gwiazda, Piotr; Kwon, Young-Sam; Świerczewska-Gwiazda, Agnieszka 3 2023 Improved well-posedness for the triple-deck and related models via concavity. Zbl 1529.76029 Gerard-Varet, David; Iyer, Sameer; Maekawa, Yasunori 3 2023 Rigidity of three-dimensional internal waves with constant vorticity. Zbl 1532.76030 Chen, Robin Ming; Fan, Lili; Walsh, Samuel; Wheeler, Miles H. 3 2023 Local existence of solutions to the non-resistive 3D MHD equations with power-law type. Zbl 1508.76125 Kim, Jae-Myoung 2 2023 Asymptotic stability of Landau solutions to Navier-Stokes system under \(L^p\)-perturbations. Zbl 1532.76036 Li, Yanyan; Zhang, Jingjing; Zhang, Ting 2 2023 On loops in water wave branches and monotonicity of water waves. Zbl 1505.76012 Kozlov, Vladimir 2 2023 On the existence and temporal asymptotics of solutions for the two and half dimensional Hall MHD. Zbl 1511.35268 Bae, Hantaek; Kang, Kyungkeun 2 2023 A consistent stochastic large-scale representation of the Navier-Stokes equations. Zbl 1506.76024 Debussche, Arnaud; Hug, Berenger; Mémin, Etienne 2 2023 Uniform linear inviscid damping and enhanced dissipation near monotonic shear flows in high Reynolds number regime. I: The whole space case. Zbl 1533.76022 Jia, Hao 2 2023 Large-time behavior of a rigid body of arbitrary shape in a viscous fluid under the action of prescribed forces and torques. Zbl 1536.76030 Galdi, Giovanni P. 2 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 2 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 2 2023 Well-posedness for the incompressible Hall-MHD system with initial magnetic field belonging to \(H^{\frac{3}{2}}(\mathbb{R}^3)\). Zbl 1510.35252 Zhang, Shunhang 1 2023 Large time behavior of solutions to the 3D rotating Navier-Stokes equations. Zbl 07657311 Egashira, Takanari; Takada, Ryo 1 2023 Strong solution for 3D compressible liquid crystal system with random force. Zbl 1508.35042 Qiu, Zhaoyang; Wang, Yixuan 1 2023 Anomalous energy flux in critical \(L^p\)-based spaces. Zbl 1508.35047 Burczak, Jan; Sattig, Gabriel 1 2023 Wave breaking for the Constantin-Lannes equation revisited. Zbl 1504.35396 Wei, Long 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 Hölder regularity of helicity for the incompressible flows. Zbl 1505.35290 Liu, Jitao; Zhao, Yunxiao 1 2023 Locality of vortex stretching for the 3D Euler equations. Zbl 1506.35149 Shimizu, Yuuki; Yoneda, Tsuyoshi 1 2023 The Lagrangian formulation for wave motion with a shear current and surface tension. Zbl 07766053 Curtin, Conor; Ivanov, Rossen 1 2023 Optimal decay rates for \(n\)-dimensional generalized magnetohydrodynamic equations. Zbl 1515.35221 Shang, Haifeng 1 2023 Epsilon regularity for the Navier-Stokes equations via weak-strong uniqueness. Zbl 1537.76022 Albritton, Dallas; Barker, Tobias; Prange, Christophe 1 2023 Forces for the Navier-Stokes equations and the Koch and Tataru theorem. Zbl 1517.35155 Lemarié-Rieusset, Pierre Gilles 1 2023 An inverse problem for determining the shape of the wedge in steady supersonic potential flow. Zbl 1512.35675 Pu, Yun; Zhang, Yongqian 1 2023 Stabilizing effect of the magnetic field and large-time behavior of 2D incompressible MHD system with vertical dissipation. Zbl 1514.35347 Feng, Wen; Hafeez, Farzana; Wu, Jiahong 1 2023 Analysis of Navier-Stokes models for flows in bidisperse porous media. Zbl 1514.35319 Kohr, Mirela; Precup, Radu 1 2023 The Helmholtz decomposition of a BMO type vector field in a slightly perturbed half space. Zbl 1532.76032 Giga, Yoshikazu; Gu, Zhongyang 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 Global existence and optimal decay rates for a generic non-conservative compressible two-fluid model. Zbl 07735994 Li, Yin; Wang, Huaqiao; Wu, Guochun; Zhang, Yinghui 1 2023 The optimal temporal decay rates for compressible Hall-magnetohydrodynamics system. Zbl 1541.76101 Fu, Shengbin; Wang, Weiwei 1 2023 Convergence of the fully discrete incremental projection scheme for incompressible flows. Zbl 1519.35225 Gallouët, T.; Herbin, R.; Latché, J. C.; Maltese, D. 1 2023 On the design of global-in-time Newton-multigrid-pressure Schur complement solvers for incompressible flow problems. Zbl 1520.76050 Lohmann, Christoph; Turek, Stefan 1 2023 Spatially quasi-periodic solutions of the Euler equation. Zbl 1524.76127 Sun, Xu; Topalov, Peter 1 2023 Global boundedness to a 3D chemotaxis-Stokes system with porous medium cell diffusion and general sensitivity under Dirichlet signal boundary condition. Zbl 1518.35117 Tian, Yu; Xiang, Zhaoyin 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 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 Interaction of finitely-strained viscoelastic multipolar solids and fluids by an Eulerian approach. Zbl 1534.35392 Roubíček, Tomáš 1 2023 Symmetrization and local existence of strong solutions for diffuse interface fluid models. Zbl 1530.76061 Giovangigli, Vincent; Calvez, Yoann Le; Nabet, Flore 1 2023 Energy conservation for the generalized surface quasi-geostrophic equation. Zbl 1522.35417 Wang, Yanqing; Ye, Yulin; Yu, Huan 1 2023 Global regular axially-symmetric solutions to the Navier-Stokes equations with small swirl. Zbl 1531.35228 Nowakowski, Bernard; Zajaczkowski, Wojciech M. 1 2023 The shallow-water models with cubic nonlinearity. Zbl 1490.35303 Chen, Robin Ming; Hu, Tianqiao; Liu, Yue 24 2022 On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations. Zbl 1521.76081 Kukavica, Igor; Nguyen, Trinh T.; Vicol, Vlad; Wang, Fei 8 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. 8 2022 On the local pressure expansion for the Navier-Stokes equations. Zbl 1521.76079 Bradshaw, Zachary; Tsai, Tai-Peng 8 2022 New thought on Matsumura-Nishida theory in the \(L_p\)-\(L_q\) Maximal regularity framework. Zbl 1491.35320 Shibata, Yoshihiro 7 2022 A single-component BKM-type regularity criterion for the inviscid axially symmetric Hall-MHD system. Zbl 1481.35338 Li, Zijin; Pan, Xinghong 7 2022 An explicit threshold for the appearance of lift on the deck of a bridge. Zbl 1481.35311 Gazzola, Filippo; Patriarca, Clara 7 2022 Liouville theorems for a stationary and non-stationary coupled system of liquid crystal flows in local Morrey spaces. Zbl 1490.35325 Jarrín, Oscar 6 2022 On uniqueness and helicity conservation of weak solutions to the electron-MHD system. Zbl 1491.35333 Dai, Mimi; Krol, Jacob; Liu, Han 6 2022 Homogenization and low Mach number limit of compressible Navier-Stokes equations in critically perforated domains. Zbl 1494.76061 Bella, Peter; Oschmann, Florian 6 2022 Global well-posedness for the three-dimensional full compressible viscous non-resistive MHD system. Zbl 1484.76091 Li, Yang 6 2022 Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains. Zbl 1503.76076 Oschmann, Florian 5 2022 A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1513.76060 Seregin, G. 5 2022 On weak-strong uniqueness for stochastic equations of incompressible fluid flow. Zbl 1494.76007 Chaudhary, Abhishek; Koley, Ujjwal 5 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 5 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 5 2022 On asymptotic stability of the 3D Boussinesq equations with a velocity damping term. Zbl 1490.35308 Dong, Lihua 5 2022 A note on local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1518.76014 Seregin, G. 5 2022 The global solvability of 3-d inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density. Zbl 1508.76131 Xu, Fuyi; Qiao, Liening; Fu, Peng 5 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. 5 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 4 2022 A minimum critical blowup rate for the high-dimensional Navier-Stokes equations. Zbl 1513.76059 Palasek, Stan 4 2022 Energy equality of the 3D Navier-Stokes equations and generalized Newtonian equations. Zbl 1493.35072 Wang, Yanqing; Mei, Xue; Huang, Yike 4 2022 Navier-Stokes flow past a rigid body that moves by time-periodic motion. Zbl 1497.76023 Galdi, Giovanni P. 4 2022 Nonlocal Cahn-Hilliard-Hele-Shaw systems with singular potential and degenerate mobility. Zbl 1482.35167 Cavaterra, Cecilia; Frigeri, Sergio; Grasselli, Maurizio 4 2022 Local existence of solutions to a Navier-Stokes-nonlinear-Schrödinger model of superfluidity. Zbl 1513.35428 Jayanti, Pranava Chaitanya; Trivisa, Konstantina 3 2022 On the Bingham flow in a thin Y-like shaped structure. Zbl 1484.76005 Bunoiu, Renata; Gaudiello, Antonio 3 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 1531.35281 Du, Lijun; Wu, Xinglong 3 2022 \(H^\infty\)-calculus for the surface Stokes operator and applications. Zbl 1502.35127 Simonett, Gieri; Wilke, Mathias 3 2022 Nonlinear stability of the inviscid magnetic Bénard problem. Zbl 1513.76081 Jiang, Fei; Wang, Yanjin 3 2022 Rayleigh-Taylor instability for viscous incompressible capillary fluids. Zbl 1491.35326 Zhang, Zhipeng 3 2022 The Fujita-Kato approach for the Navier-Stokes equations with moving boundary and its application. Zbl 1493.35065 Farwig, Reinhard; Tsuda, Kazuyuki 3 2022 ...and 863 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,066 Authors 93 Nečasová, Šárka 92 Feireisl, Eduard 62 Fan, Jishan 53 Novotný, Antonín 51 Wu, Jiahong 46 Tan, Zhong 46 Ye, Zhuan 46 Zhong, Xin 41 Takahashi, Takéo 41 Xin, Zhouping 41 Zhou, Yong 38 Farwig, Reinhard 38 Titi, Edriss Saleh 38 Zhu, Changjiang 37 Martin, Calin-Iulian 36 Gala, Sadek 36 Zhang, Zujin 34 Kim, Jaemyoung 34 Li, Fucai 34 Pileckas, Konstantin 32 Galdi, Giovanni Paolo 31 Zhai, Xiaoping 30 Beirão da Veiga, Hugo 30 Berselli, Luigi Carlo 30 Kukavica, Igor 30 Růžička, Michael 30 Wang, Yanqing 29 Breit, Dominic 29 Jiang, Song 29 Kang, Kyungkeun 29 Yao, Zhengan 28 Maremonti, Paolo 28 Mohan, Manil Thankamani 28 Seregin, Gregory A. 28 Yamazaki, Kazuo 27 Zhang, Zhifei 26 Chae, Dongho 26 Guo, Zhengguang 26 Mácha, Václav 26 Neustupa, Jiří 26 Pokorný, Milan 25 Abels, Helmut 25 Hieber, Matthias 25 Jiu, Quansen 25 Tang, Tong 25 Wen, Huanyao 25 Xu, Xiaojing 25 Zhang, Ting 24 Bresch, Didier 24 Dong, Boqing 24 Ducomet, Bernard 24 Muha, Boris 24 Shibata, Yoshihiro 23 Gao, Hongjun 23 Guo, Boling 23 Henry, David 23 Hillairet, Matthieu 23 Jin, Bumja 23 Liu, Qiao 23 Matioc, Bogdan-Vasile 23 Wolf, Jörg 23 Zhang, Yinghui 22 Bae, Hyeong-Ohk 22 Ionescu-Kruse, Delia 22 Jiang, Fei 22 Li, Yeping 22 Málek, Josef 22 Ragusa, Maria Alessandra 22 Wang, Jinrong 22 Zatorska, Ewelina 21 Ju, Qiangchang 21 Liu, Yang 21 Yuan, Baoquan 21 Zvyagin, Viktor Grigor’evich 20 Barker, Tobias 20 Deuring, Paul 20 Guo, Zhenhua 20 Kozono, Hideo 20 Wang, Dehua 20 Wang, Weiwei 19 Amrouche, Chérif 19 Bulíček, Miroslav 19 Fečkan, Michal 19 Giga, Yoshikazu 19 Ha, Seung-Yeal 19 Kreml, Ondřej 19 Kwon, Young-Sam 19 Migórski, Stanisław 19 Mucha, Piotr Bogusław 19 Pan, Xinghong 19 Schwarzacher, Sebastian 19 Sin, Cholmin 19 Zhang, Jianwen 19 Zhao, Caidi 18 Dai, Mimi 18 Han, Pigong 18 Kohr, Mirela 18 Layton, William J. 18 Li, Yachun 18 Maekawa, Yasunori ...and 4,966 more Authors all top 5 Cited in 470 Journals 510 Journal of Differential Equations 499 Journal of Mathematical Fluid Mechanics 300 Journal of Mathematical Analysis and Applications 211 Mathematical Methods in the Applied Sciences 196 Archive for Rational Mechanics and Analysis 184 Nonlinear Analysis. 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Analysis and Computations 13 Electronic Research Archive 12 Czechoslovak Mathematical Journal 12 Inventiones Mathematicae 12 Physics of Fluids 12 Mathematical Control and Related Fields 11 Manuscripta Mathematica 11 Results in Mathematics ...and 370 more Journals all top 5 Cited in 57 Fields 6,182 Partial differential equations (35-XX) 5,583 Fluid mechanics (76-XX) 502 Numerical analysis (65-XX) 399 Mechanics of deformable solids (74-XX) 325 Geophysics (86-XX) 284 Dynamical systems and ergodic theory (37-XX) 220 Systems theory; control (93-XX) 199 Probability theory and stochastic processes (60-XX) 196 Calculus of variations and optimal control; optimization (49-XX) 194 Biology and other natural sciences (92-XX) 173 Classical thermodynamics, heat transfer (80-XX) 138 Operator theory (47-XX) 137 Harmonic analysis on Euclidean spaces (42-XX) 123 Ordinary differential equations (34-XX) 111 Functional analysis (46-XX) 101 Statistical mechanics, structure of matter (82-XX) 93 Real functions (26-XX) 73 Optics, electromagnetic theory (78-XX) 50 Global analysis, analysis on manifolds (58-XX) 46 Differential geometry (53-XX) 45 Mechanics of particles and systems (70-XX) 40 Astronomy and astrophysics (85-XX) 30 Quantum theory (81-XX) 27 Integral equations (45-XX) 22 Operations research, mathematical programming (90-XX) 21 Approximations and expansions (41-XX) 19 Functions of a complex variable (30-XX) 17 Computer science (68-XX) 16 General and overarching topics; collections (00-XX) 15 Relativity and gravitational theory (83-XX) 14 Measure and integration (28-XX) 12 Potential theory (31-XX) 10 Special functions (33-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 History and biography (01-XX) 8 Statistics (62-XX) 7 Number theory (11-XX) 7 Convex and discrete geometry (52-XX) 6 Integral transforms, operational calculus (44-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Combinatorics (05-XX) 4 Difference and functional equations (39-XX) 4 Abstract harmonic analysis (43-XX) 4 Information and communication theory, circuits (94-XX) 3 Field theory and polynomials (12-XX) 3 Algebraic geometry (14-XX) 3 Topological groups, Lie groups (22-XX) 3 Manifolds and cell complexes (57-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX) Citations by Year