Edit Profile (opens in new tab) Mahalov, Alex Co-Author Distance Author ID: mahalov.alex Published as: Mahalov, Alex; Mahalov, A.; Makhalov, A. S. more...less Documents Indexed: 80 Publications since 1986, including 2 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 68 Co-Authors with 78 Joint Publications 2,048 Co-Co-Authors all top 5 Co-Authors 1 single-authored 33 Nicolaenko, Basil 17 Babin, Anatoli V. 9 Giga, Yoshikazu 6 Inui, Katsuya 4 Golse, François 4 Matsui, Shin’ya 4 Moustaoui, Mohamed 4 Saal, Jürgen 4 Suslov, Sergei K. 4 Tse, Kwan-Leung 3 Cheng, Bin 3 Fernando, Harindra J. S. 3 Leibovich, Sidney 3 Takada, Ryo 3 Yoneda, Tsuyoshi 3 Zhou, Ye 2 Bardos, Claude Williams 2 Guckenheimer, John M. 2 Hieber, Matthias 2 Iwabuchi, Tsukasa 2 Jung, Changyeol 2 Kostelich, Eric J. 2 Marsden, Jerrold Eldon 2 McDaniel, Austin 2 Tang, Wenbo 1 Attal, N. 1 Azzalini, Alexandre 1 Balachandar, S. Raja 1 Barclay, Bryce M. 1 Bellsky, Thomas 1 Derguzov, Victor Ivanovich 1 Dimitrova, Reneta 1 Farge, Marie 1 Farwell, Nathan 1 Fernando, J. 1 Flandoli, Franco 1 Gorshkova, Elena 1 Groom, Michael 1 Hess, Matthias 1 Hillier, Andrew 1 Hunt, Julian C. R. 1 Jo, Hideaki 1 Jones, Don A. 1 Knobloch, Edgar 1 Knutson, Brent 1 Koba, Hajime 1 Korotkova, Olga 1 Krattenthaler, Christian Friedrich 1 Kruse, Hans-Peter 1 Kryuchkov, Sergey I. 1 Kwon, Bongsuk 1 Lehner, Thierry 1 Léorat, Jacques 1 Luca, Ionut Traian 1 Mostert, Wouter 1 Mouhali, Waleed 1 Neittaanmäki, Pekka J. 1 Nguyen, Thien Binh 1 Pacheco, J. Rafael 1 Pellegrino, Giulio 1 Powell, Phillip D. 1 Ramaprabhu, Praveen 1 Repin, Sergeĭ Igorevich 1 Rollin, Bertrand 1 Schneider, Kai 1 Seregin, Gregory A. 1 Taylor, Jesse Earl 1 Thornber, Ben 1 Titi, Edriss Saleh 1 Tse, Frank 1 Williams, Robin J. R. all top 5 Serials 7 Theoretical and Computational Fluid Dynamics 5 Physica D 3 Archive for Rational Mechanics and Analysis 3 Journal of Computational Physics 3 Indiana University Mathematics Journal 3 Physics of Fluids 2 Journal of Fluid Mechanics 2 European Journal of Mechanics. B. Fluids 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Zapiski Nauchnykh Seminarov POMI 2 Methods and Applications of Analysis 2 Journal of Mathematical Fluid Mechanics 1 Applicable Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal of Theoretical Physics 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Physics of Fluids, A 1 Fluid Dynamics Research 1 Bulletin of the London Mathematical Society 1 Hokkaido Mathematical Journal 1 Journal of Differential Equations 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Advances in Mathematical Sciences and Applications 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Chaos 1 European Journal of Mechanics. B. Fluids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Physical Review Letters 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Numerical Analysis and Modeling 1 Waves in Random and Complex Media 1 RIMS Kôkyûroku Bessatsu 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models all top 5 Fields 64 Fluid mechanics (76-XX) 46 Partial differential equations (35-XX) 18 Geophysics (86-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-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 68 Publications have been cited 794 times in 400 Documents Cited by ▼ Year ▼ Global regularity of \(3D\) rotating Navier-Stokes equations for resonant domains. Zbl 0932.35160 Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 86 1999 Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Zbl 0890.35109 Babin, A.; Mahalov, A.; Nicolaenko, B. 71 1997 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity. Zbl 1013.35065 Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 56 2001 Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids. Zbl 0882.76096 Babin, A.; Mahalov, A.; Nicolaenko, B. 49 1996 Invariant helical subspaces for the Navier-Stokes equations. Zbl 0708.76044 Mahalov, A.; Titi, E. S.; Leibovich, S. 48 1990 Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data. Zbl 1159.35055 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen 34 2008 Rayleigh-Taylor and Richtmyer-Meshkov instabilities: a journey through scales. Zbl 1491.76030 Zhou, Ye; Williams, Robin J. R.; Ramaprabhu, Praveen; Groom, Michael; Thornber, Ben; Hillier, Andrew; Mostert, Wouter; Rollin, Bertrand; Balachandar, S.; Powell, Phillip D.; Mahalov, Alex; Attal, N. 23 2021 On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations. Zbl 0912.76092 Babin, A.; Mahalov, A.; Nicolaenko, B.; Zhou, Y. 22 1997 On the regularity of three-dimensional rotating Euler-Boussinesq equations. Zbl 1035.76055 Babin, A.; Mahalov, A.; Nicolaenko, B. 22 1999 Navier-Stokes equations in a rotating frame in \(\mathbb R^3\) with initial data nondecreasing at infinity. Zbl 1192.35132 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 22 2006 Global regularity of 3D rotating Navier-Stokes equations for resonant domains. Zbl 0963.76020 Babin, A.; Mahalov, A.; Nicolaenko, B. 18 2000 Global solvability of three-dimensional Navier-Stokes equations with uniformly high initial vorticity. Zbl 1059.35099 Makhalov, A. S.; Nikolaenko, V. P. 16 2003 Long-time averaged Euler and Navier-Stokes equations for rotating fluids. Zbl 0872.76097 Babin, A.; Mahalov, A.; Nicolaenko, B. 15 1995 Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1107.76023 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 14 2005 On nonlinear baroclinic waves and adjustment of pancake dynamics. Zbl 0957.76092 Babin, A.; Mahalov, A.; Nicolaenko, B. 14 1998 Global solutions for the incompressible rotating stably stratified fluids. Zbl 1360.76075 Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo 14 2017 \(L_{3,\infty}\)-solutions to the MHD equations. Zbl 1127.35047 Mahalov, A.; Nicolaenko, B.; Shilkin, T. 13 2006 Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics. Zbl 0814.76048 Knobloch, Edgar; Mahalov, Alex; Marsden, Jerrold E. 13 1994 The instability of rotating fluid columns subjected to a weak external Coriolis force. Zbl 0850.76238 Mahalov, A. 13 1993 The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074 Giga, Y.; Mahalov, A.; Nicolaenko, B. 12 2007 Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020 Flandoli, Franco; Mahalov, Alex 12 2012 Rotating Navier-Stokes equations in \({\mathbb R}^{3}_{+}\) with initial data nondecreasing at infinity: The Ekman boundary layer problem. Zbl 1130.76025 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya; Saal, Jürgen 11 2007 Instability induced by symmetry reduction. Zbl 1050.37516 Guckenheimer, J.; Mahalov, A. 11 1992 Strongly stratified limit of 3D primitive equations in an infinite layer. Zbl 1001.76030 Babin, A.; Mahalov, A.; Nicolaenko, B. 11 2001 Global splitting and regularity of rotating shallow-water equations. Zbl 0889.76007 Babin, A.; Mahalov, A.; Nicolaenko, B. 11 1997 Global well-posedness for the rotating Navier-Stokes-Boussinesq equations with stratification effects. Zbl 1283.35086 Koba, Hajime; Mahalov, Alex; Yoneda, Tsuyoshi 11 2012 Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics. Zbl 0962.76020 Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 10 2000 Quasi-equilibrium dynamics of shear-stratified turbulence in a model tropospheric jet. Zbl 1073.76048 Tse, K. L.; Mahalov, A.; Nicolaenko, B.; Fernando, H. J. S. 10 2003 Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets. Zbl 1144.76009 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen 10 2007 Resonant triad interactions in symmetric systems. Zbl 0743.76029 Guckenheimer, John; Mahalov, Alex 9 1992 Analytical and phenomenological studies of rotating turbulence. Zbl 1027.76598 Mahalov, Alex; Zhou, Ye 9 1996 On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data. Zbl 1143.76417 Giga, Yoshikazu; Jo, Hideaki; Mahalov, Alex; Yoneda, Tsuyoshi 9 2008 Nonlinear stability of Ekman boundary layers. Zbl 1197.35193 Hess, Matthias; Hieber, Matthias; Mahalov, Alex; Saal, Jürgen 9 2010 Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces. Zbl 1404.35012 Hieber, Matthias; Mahalov, Alex; Takada, Ryo 7 2019 Resonances and regularity for Boussinesq equations. Zbl 0955.76521 Babin, Anatoli V.; Mahalov, Alex; Nicolaenko, Basil 6 1996 Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains. Zbl 1103.35083 Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F. 6 2004 Fast singular oscillating limits of stably-stratified 3D Euler and Navier-Stokes equations and ageostrophic wave fronts. Zbl 1109.76310 Babin, A.; Mahalov, A.; Nicolaenko, B. 6 2002 Euler equation on a fast rotating sphere-time-averages and zonal flows. Zbl 1347.86003 Cheng, Bin; Mahalov, Alex 6 2013 Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1119.35049 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 4 2007 Vertically nested nonhydrostatic model for multiscale resolution of flows in the upper troposphere and lower stratosphere. Zbl 1330.86008 Mahalov, Alex; Moustaoui, Mohamed 4 2009 On the calculation of coupling coefficients in amplitude equations. Zbl 0759.65087 Mahalov, Alex; Leibovich, Sidney 4 1992 Regularity and integrability of rotating shallow-water equations. Zbl 0883.76014 Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 4 1997 Time-filtered leapfrog integration of Maxwell equations using unstaggered temporal grids. Zbl 1375.78041 Mahalov, A.; Moustaoui, M. 4 2016 Bursting dynamics of the 3D Euler equations in cylindrical domains. Zbl 1260.76006 Golse, François; Mahalov, Alex; Nicolaenko, Basil 4 2008 On the problem of electromagnetic-field quantization. Zbl 1283.81061 Krattenthaler, Christian; Kryuchkov, Sergey I.; Mahalov, Alex; Suslov, Sergei K. 4 2013 Computational studies of inertia-gravity waves radiated from upper tropospheric jets. Zbl 1161.76479 Mahalov, A.; Moustaoui, M.; Nicolaenko, B.; Tse, K. L. 3 2007 Kalman filter data assimilation: targeting observations and parameter estimation. Zbl 1345.94011 Bellsky, Thomas; Kostelich, Eric J.; Mahalov, Alex 3 2014 On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data. Zbl 1270.35343 Giga, Yoshikazu; Mahalov, Alex; Yoneda, Tsuyoshi 3 2011 Coupling of paraxial and white-noise approximations of the Helmholtz equation in randomly layered media. Zbl 07507340 McDaniel, Austin; Mahalov, Alex 3 2020 A numerical study of an operator splitting method for rotating flows with large ageostrophic initial data. Zbl 0961.76071 Jones, Don A.; Mahalov, Alex; Nicolaenko, Basil 2 1999 On regularity of solutions of 3D Navier-Stokes equations. Zbl 1022.76010 Avrin, J.; Babin, A.; Mahalov, A.; Nicolaenko, B. 2 1999 Effects of rotation and sloping terrain on the fronts of density currents. Zbl 1103.76062 Hunt, J. C. R.; Pacheco, J. R.; Mahalov, A.; Fernando, H. J. S. 2 2005 New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325 Mahalov, A.; Nicolaenko, B.; Seregin, G. 2 2008 Three-dimensional instabilities in non-parallel shear stratified flows. Zbl 1372.76051 Mahalov, Alex; Moustaoui, Mohamed; Nicolaenko, Basil 2 2009 On the Hamiltonian structure and three-dimensional instabilities of rotating liquid bridges. Zbl 1051.76571 Kruse, Hans Peter; Mahalov, Alex; Marsden, Jerrold E. 2 1999 Vortex tubes in shear-stratified turbulent flows. Zbl 1142.76395 Farge, Marie; Azzalini, Alexandre; Mahalov, Alex; Nicolaenko, Basil; Tse, Frank; Pellegrino, Giulio; Schneider, Kai 2 2002 Solution of paraxial wave equation for inhomogeneous media in linear and quadratic approximation. Zbl 1309.35139 Mahalov, Alex; Suslov, Sergei K. 2 2015 Maxwell solutions in media with random interfaces. Zbl 1355.65014 Jung, Chang-Yeol; Kwon, Bongsuk; Mahalov, Alex; Nguyen, Thien Binh 2 2014 An “Airy gun”: self-accelerating solutions of the time-dependent Schrödinger equation in vacuum. Zbl 1396.81083 Mahalov, Alex; Suslov, Sergei K. 2 2012 A spectral domain decomposition method and its application to the simulation of shear-stratified turbulence. Zbl 1052.76050 Tse, K. L.; Mahalov, A.; Nicolaenko, B.; Fernando, J. 1 2001 Regularity of Euler equations for a class of three-dimensional initial data. Zbl 1076.35088 Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F. 1 2005 Multiple bifurcation of rotating pipe flow. Zbl 0737.76084 Mahalov, Alex; Leibovich, Sidney 1 1991 Integrability and regularity of 3D Euler and equations for uniformly rotating fluids. Zbl 0867.76012 Babin, A.; Mahalov, A.; Nicolaenko, B. 1 1996 Lagrangian dynamics in stochastic inertia-gravity waves. Zbl 1308.76059 Tang, Wenbo; Taylor, Jesse E.; Mahalov, Alex 1 2010 Stability of time periodic solutions for the rotating Navier-Stokes equations. Zbl 1338.35335 Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo 1 2016 A posteriori error estimates for viscous flow problems with rotation. Zbl 1202.35171 Gorshkova, E.; Mahalov, A.; Neittaanmäki, P.; Repin, S. 1 2007 Mode coupling analysis and differential rotation in a flow driven by a precessing cylindrical container. Zbl 1507.76060 Lehner, Thierry; Mouhali, Waleed; Leorat, Jacques; Mahalov, Alex 1 2010 Time-averages of fast oscillatory systems. Zbl 1263.76076 Cheng, Bin; Mahalov, Alex 1 2013 Rayleigh-Taylor and Richtmyer-Meshkov instabilities: a journey through scales. Zbl 1491.76030 Zhou, Ye; Williams, Robin J. R.; Ramaprabhu, Praveen; Groom, Michael; Thornber, Ben; Hillier, Andrew; Mostert, Wouter; Rollin, Bertrand; Balachandar, S.; Powell, Phillip D.; Mahalov, Alex; Attal, N. 23 2021 Coupling of paraxial and white-noise approximations of the Helmholtz equation in randomly layered media. Zbl 07507340 McDaniel, Austin; Mahalov, Alex 3 2020 Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces. Zbl 1404.35012 Hieber, Matthias; Mahalov, Alex; Takada, Ryo 7 2019 Global solutions for the incompressible rotating stably stratified fluids. Zbl 1360.76075 Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo 14 2017 Time-filtered leapfrog integration of Maxwell equations using unstaggered temporal grids. Zbl 1375.78041 Mahalov, A.; Moustaoui, M. 4 2016 Stability of time periodic solutions for the rotating Navier-Stokes equations. Zbl 1338.35335 Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo 1 2016 Solution of paraxial wave equation for inhomogeneous media in linear and quadratic approximation. Zbl 1309.35139 Mahalov, Alex; Suslov, Sergei K. 2 2015 Kalman filter data assimilation: targeting observations and parameter estimation. Zbl 1345.94011 Bellsky, Thomas; Kostelich, Eric J.; Mahalov, Alex 3 2014 Maxwell solutions in media with random interfaces. Zbl 1355.65014 Jung, Chang-Yeol; Kwon, Bongsuk; Mahalov, Alex; Nguyen, Thien Binh 2 2014 Euler equation on a fast rotating sphere-time-averages and zonal flows. Zbl 1347.86003 Cheng, Bin; Mahalov, Alex 6 2013 On the problem of electromagnetic-field quantization. Zbl 1283.81061 Krattenthaler, Christian; Kryuchkov, Sergey I.; Mahalov, Alex; Suslov, Sergei K. 4 2013 Time-averages of fast oscillatory systems. Zbl 1263.76076 Cheng, Bin; Mahalov, Alex 1 2013 Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020 Flandoli, Franco; Mahalov, Alex 12 2012 Global well-posedness for the rotating Navier-Stokes-Boussinesq equations with stratification effects. Zbl 1283.35086 Koba, Hajime; Mahalov, Alex; Yoneda, Tsuyoshi 11 2012 An “Airy gun”: self-accelerating solutions of the time-dependent Schrödinger equation in vacuum. Zbl 1396.81083 Mahalov, Alex; Suslov, Sergei K. 2 2012 On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data. Zbl 1270.35343 Giga, Yoshikazu; Mahalov, Alex; Yoneda, Tsuyoshi 3 2011 Nonlinear stability of Ekman boundary layers. Zbl 1197.35193 Hess, Matthias; Hieber, Matthias; Mahalov, Alex; Saal, Jürgen 9 2010 Lagrangian dynamics in stochastic inertia-gravity waves. Zbl 1308.76059 Tang, Wenbo; Taylor, Jesse E.; Mahalov, Alex 1 2010 Mode coupling analysis and differential rotation in a flow driven by a precessing cylindrical container. Zbl 1507.76060 Lehner, Thierry; Mouhali, Waleed; Leorat, Jacques; Mahalov, Alex 1 2010 Vertically nested nonhydrostatic model for multiscale resolution of flows in the upper troposphere and lower stratosphere. Zbl 1330.86008 Mahalov, Alex; Moustaoui, Mohamed 4 2009 Three-dimensional instabilities in non-parallel shear stratified flows. Zbl 1372.76051 Mahalov, Alex; Moustaoui, Mohamed; Nicolaenko, Basil 2 2009 Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data. Zbl 1159.35055 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen 34 2008 On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data. Zbl 1143.76417 Giga, Yoshikazu; Jo, Hideaki; Mahalov, Alex; Yoneda, Tsuyoshi 9 2008 Bursting dynamics of the 3D Euler equations in cylindrical domains. Zbl 1260.76006 Golse, François; Mahalov, Alex; Nicolaenko, Basil 4 2008 New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325 Mahalov, A.; Nicolaenko, B.; Seregin, G. 2 2008 The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074 Giga, Y.; Mahalov, A.; Nicolaenko, B. 12 2007 Rotating Navier-Stokes equations in \({\mathbb R}^{3}_{+}\) with initial data nondecreasing at infinity: The Ekman boundary layer problem. Zbl 1130.76025 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya; Saal, Jürgen 11 2007 Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets. Zbl 1144.76009 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen 10 2007 Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1119.35049 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 4 2007 Computational studies of inertia-gravity waves radiated from upper tropospheric jets. Zbl 1161.76479 Mahalov, A.; Moustaoui, M.; Nicolaenko, B.; Tse, K. L. 3 2007 A posteriori error estimates for viscous flow problems with rotation. Zbl 1202.35171 Gorshkova, E.; Mahalov, A.; Neittaanmäki, P.; Repin, S. 1 2007 Navier-Stokes equations in a rotating frame in \(\mathbb R^3\) with initial data nondecreasing at infinity. Zbl 1192.35132 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 22 2006 \(L_{3,\infty}\)-solutions to the MHD equations. Zbl 1127.35047 Mahalov, A.; Nicolaenko, B.; Shilkin, T. 13 2006 Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1107.76023 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 14 2005 Effects of rotation and sloping terrain on the fronts of density currents. Zbl 1103.76062 Hunt, J. C. R.; Pacheco, J. R.; Mahalov, A.; Fernando, H. J. S. 2 2005 Regularity of Euler equations for a class of three-dimensional initial data. Zbl 1076.35088 Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F. 1 2005 Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains. Zbl 1103.35083 Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F. 6 2004 Global solvability of three-dimensional Navier-Stokes equations with uniformly high initial vorticity. Zbl 1059.35099 Makhalov, A. S.; Nikolaenko, V. P. 16 2003 Quasi-equilibrium dynamics of shear-stratified turbulence in a model tropospheric jet. Zbl 1073.76048 Tse, K. L.; Mahalov, A.; Nicolaenko, B.; Fernando, H. J. S. 10 2003 Fast singular oscillating limits of stably-stratified 3D Euler and Navier-Stokes equations and ageostrophic wave fronts. Zbl 1109.76310 Babin, A.; Mahalov, A.; Nicolaenko, B. 6 2002 Vortex tubes in shear-stratified turbulent flows. Zbl 1142.76395 Farge, Marie; Azzalini, Alexandre; Mahalov, Alex; Nicolaenko, Basil; Tse, Frank; Pellegrino, Giulio; Schneider, Kai 2 2002 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity. Zbl 1013.35065 Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 56 2001 Strongly stratified limit of 3D primitive equations in an infinite layer. Zbl 1001.76030 Babin, A.; Mahalov, A.; Nicolaenko, B. 11 2001 A spectral domain decomposition method and its application to the simulation of shear-stratified turbulence. Zbl 1052.76050 Tse, K. L.; Mahalov, A.; Nicolaenko, B.; Fernando, J. 1 2001 Global regularity of 3D rotating Navier-Stokes equations for resonant domains. Zbl 0963.76020 Babin, A.; Mahalov, A.; Nicolaenko, B. 18 2000 Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics. Zbl 0962.76020 Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 10 2000 Global regularity of \(3D\) rotating Navier-Stokes equations for resonant domains. Zbl 0932.35160 Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 86 1999 On the regularity of three-dimensional rotating Euler-Boussinesq equations. Zbl 1035.76055 Babin, A.; Mahalov, A.; Nicolaenko, B. 22 1999 A numerical study of an operator splitting method for rotating flows with large ageostrophic initial data. Zbl 0961.76071 Jones, Don A.; Mahalov, Alex; Nicolaenko, Basil 2 1999 On regularity of solutions of 3D Navier-Stokes equations. Zbl 1022.76010 Avrin, J.; Babin, A.; Mahalov, A.; Nicolaenko, B. 2 1999 On the Hamiltonian structure and three-dimensional instabilities of rotating liquid bridges. Zbl 1051.76571 Kruse, Hans Peter; Mahalov, Alex; Marsden, Jerrold E. 2 1999 On nonlinear baroclinic waves and adjustment of pancake dynamics. Zbl 0957.76092 Babin, A.; Mahalov, A.; Nicolaenko, B. 14 1998 Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Zbl 0890.35109 Babin, A.; Mahalov, A.; Nicolaenko, B. 71 1997 On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations. Zbl 0912.76092 Babin, A.; Mahalov, A.; Nicolaenko, B.; Zhou, Y. 22 1997 Global splitting and regularity of rotating shallow-water equations. Zbl 0889.76007 Babin, A.; Mahalov, A.; Nicolaenko, B. 11 1997 Regularity and integrability of rotating shallow-water equations. Zbl 0883.76014 Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 4 1997 Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids. Zbl 0882.76096 Babin, A.; Mahalov, A.; Nicolaenko, B. 49 1996 Analytical and phenomenological studies of rotating turbulence. Zbl 1027.76598 Mahalov, Alex; Zhou, Ye 9 1996 Resonances and regularity for Boussinesq equations. Zbl 0955.76521 Babin, Anatoli V.; Mahalov, Alex; Nicolaenko, Basil 6 1996 Integrability and regularity of 3D Euler and equations for uniformly rotating fluids. Zbl 0867.76012 Babin, A.; Mahalov, A.; Nicolaenko, B. 1 1996 Long-time averaged Euler and Navier-Stokes equations for rotating fluids. Zbl 0872.76097 Babin, A.; Mahalov, A.; Nicolaenko, B. 15 1995 Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics. Zbl 0814.76048 Knobloch, Edgar; Mahalov, Alex; Marsden, Jerrold E. 13 1994 The instability of rotating fluid columns subjected to a weak external Coriolis force. Zbl 0850.76238 Mahalov, A. 13 1993 Instability induced by symmetry reduction. Zbl 1050.37516 Guckenheimer, J.; Mahalov, A. 11 1992 Resonant triad interactions in symmetric systems. Zbl 0743.76029 Guckenheimer, John; Mahalov, Alex 9 1992 On the calculation of coupling coefficients in amplitude equations. Zbl 0759.65087 Mahalov, Alex; Leibovich, Sidney 4 1992 Multiple bifurcation of rotating pipe flow. Zbl 0737.76084 Mahalov, Alex; Leibovich, Sidney 1 1991 Invariant helical subspaces for the Navier-Stokes equations. Zbl 0708.76044 Mahalov, A.; Titi, E. S.; Leibovich, S. 48 1990 all cited Publications top 5 cited Publications all top 5 Cited by 553 Authors 28 Mahalov, Alex 12 Gallagher, Isabelle 12 Takada, Ryo 11 Titi, Edriss Saleh 10 Yoneda, Tsuyoshi 9 Charve, Frédéric 8 Nicolaenko, Basil 7 Babin, Anatoli V. 7 Ferreira, Lucas Catão de Freitas 7 Hieber, Matthias 7 Marsden, Jerrold Eldon 6 Chemin, Jean-Yves 6 Giga, Yoshikazu 6 Luo, Xisheng 6 Niu, Dongjuan 6 Zhou, Ye 5 Fanelli, Francesco 5 Iwabuchi, Tsukasa 5 Knobloch, Edgar 5 Novotný, Antonín 5 Saal, Jürgen 5 Smith, Leslie M. 5 Wu, Gang 4 Desjardins, Benoît 4 Feireisl, Eduard 4 Flandoli, Franco 4 Grenier, Emmanuel 4 Ibrahim, Slim 4 Neustupa, Jiří 4 Pham, Hieu T. 4 Sarkar, Sutanu 4 Sun, Jinyi 4 Suslov, Sergei K. 4 Thomas, Jim 4 Wang, Shu 4 Widmayer, Klaus 4 Zhang, Ting 3 Bartello, Peter 3 Benvenutti, Maicon J. 3 Bourouiba, Lydia 3 Cheng, Bin 3 Domaradzki, J. Andrzej 3 Hou, Thomas Yizhao 3 Kim, Junha 3 Kishimoto, Nobu 3 Kwon, Young-Sam 3 Lee, Jihoon 3 Leibovich, Sidney 3 Liang, Yu 3 Lin, Quyuan 3 Masmoudi, Nader 3 Moustaoui, Mohamed 3 Mu, PengCheng 3 Ngo, Van-Sang 3 Paicu, Marius 3 Saint-Raymond, Laure 3 Sawada, Okihiro 3 Scrobogna, Stefano 3 Suazo, Erwin 3 Temam, Roger Meyer 3 Vega-Guzmán, José M. 3 Wang, Weihua 3 Wang, Yanqing 3 Wingate, Beth A. 3 Wirosoetisno, Djoko 3 Xie, Chunjing 3 Yang, Minghua 2 Ahn, Jaewook 2 Angulo-Castillo, Vladimir 2 Berselli, Luigi Carlo 2 Bessaih, Hakima 2 Bloch, Anthony Michael 2 Bresch, Didier 2 Caraballo Garrido, Tomás 2 Choe, Hi Jun 2 Colin, Thierry 2 Cui, Shangbin 2 de Almeida, Marcelo Fernandes 2 Deng, Jian 2 Doering, Charles Rogers 2 Du, Lihuai 2 Elgindi, Tarek Mohamed 2 Fang, Daoyuan 2 Farge, Marie 2 Fukumoto, Yasuhide 2 Galdi, Giovanni Paolo 2 Geng, Fan 2 Gubinelli, Massimiliano 2 Guo, Yan 2 Guo, Zhenhua 2 Hattori, Yuji 2 Herbert, Corentin 2 Horiuti, Kiyosi 2 Jiu, Quansen 2 Koba, Hajime 2 Kozono, Hideo 2 Krishnaprasad, P.s. 2 Kurien, Susan 2 Liu, Linfang 2 Lopes Filho, Milton da Costa ...and 453 more Authors all top 5 Cited in 111 Serials 41 Journal of Fluid Mechanics 28 Physica D 24 Journal of Differential Equations 19 Journal of Mathematical Fluid Mechanics 16 Physics of Fluids 13 Journal of Mathematical Analysis and Applications 11 Journal of Evolution Equations 10 Archive for Rational Mechanics and Analysis 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Computational Physics 8 Nonlinearity 8 Discrete and Continuous Dynamical Systems 7 Communications in Mathematical Physics 6 Computers and Fluids 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Applied Mathematics Letters 6 Nonlinear Analysis. Real World Applications 5 Communications on Pure and Applied Mathematics 5 Journal of Nonlinear Science 4 Geophysical and Astrophysical Fluid Dynamics 4 Journal of Mathematical Physics 4 Theoretical and Computational Fluid Dynamics 4 Journal of Functional Analysis 4 Communications in Partial Differential Equations 4 Journal of Dynamics and Differential Equations 4 Acta Mathematica Sinica. English Series 4 Discrete and Continuous Dynamical Systems. Series B 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Acta Mechanica 3 Applicable Analysis 3 Mathematical Methods in the Applied Sciences 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Computation 3 Mathematische Annalen 3 Transactions of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 SIAM Journal on Mathematical Analysis 3 European Journal of Mechanics. B. Fluids 2 Computers & Mathematics with Applications 2 Physics of Fluids, A 2 Journal of the Mathematical Society of Japan 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Revista Matemática Iberoamericana 2 Asymptotic Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Mathematical Sciences (New York) 2 NoDEA. Nonlinear Differential Equations and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Journal of Turbulence 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications on Pure and Applied Analysis 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Journal of Function Spaces 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Physics Letters. A 1 Physics Reports 1 Reviews of Modern Physics 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Dynamics and Stability of Systems 1 Stochastic Processes and their Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Applied and Computational Harmonic Analysis 1 Annales Mathématiques Blaise Pascal 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Difference Equations and Applications 1 Nonlinear Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Boundary Value Problems ...and 11 more Serials all top 5 Cited in 35 Fields 338 Fluid mechanics (76-XX) 268 Partial differential equations (35-XX) 65 Geophysics (86-XX) 27 Dynamical systems and ergodic theory (37-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 14 Numerical analysis (65-XX) 12 Mechanics of particles and systems (70-XX) 11 Probability theory and stochastic processes (60-XX) 7 Operator theory (47-XX) 6 Ordinary differential equations (34-XX) 5 Functional analysis (46-XX) 5 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Astronomy and astrophysics (85-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year