# zbMATH — the first resource for mathematics

## Mahalov, Alex

Compute Distance To:
 Author ID: mahalov.alex Published as: Mahalov, A.; Mahalov, Alex
 Documents Indexed: 73 Publications since 1990, including 1 Book
all top 5

#### Co-Authors

 0 single-authored 32 Nicolaenko, Basil 12 Babin, A. 9 Giga, Yoshikazu 6 Inui, Katsuya 5 Babin, Anatoli V. 4 Golse, François 4 Matsui, Shin’ya 4 Moustaoui, Mohamed 4 Saal, Jürgen 4 Tse, Kwan-Leung 3 Fernando, Harindra J. S. 3 Leibovich, Sidney 3 Suslov, Sergei K. 3 Takada, Ryo 3 Yoneda, Tsuyoshi 2 Bardos, Claude Williams 2 Cheng, Bin 2 Guckenheimer, John M. 2 Hieber, Matthias 2 Iwabuchi, Tsukasa 2 Jung, Changyeol 2 Marsden, Jerrold Eldon 2 Tang, Wenbo 2 Zhou, Ye 1 Avrin, Jack Shulman 1 Azzalini, Alexandre 1 Bellsky, Thomas 1 Dimitrova, Reneta 1 Farge, Marie 1 Farwell, Nathan 1 Fernando, J. 1 Flandoli, Franco 1 Hess, Matthias 1 Hunt, Julian C. R. 1 Jo, Hideaki 1 Jones, Don A. 1 Joseph, B. J. 1 Knobloch, Edgar 1 Knutson, Brent 1 Koba, Hajime 1 Korotkova, Olga 1 Kostelich, Eric J. 1 Krattenthaler, Christian Friedrich 1 Kruse, Hans-Peter 1 Kryuchkov, Sergey I. 1 Kwon, Bongsuk 1 Luca, Ionut Traian 1 McDaniel, Austin 1 Nguyen, Thien Binh 1 Pacheco, J. Rafael 1 Pellegrino, Giulio 1 Schneider, Kai 1 Seregin, Gregory A. 1 Shilkin, Timofey 1 Taylor, Jesse Earl 1 Titi, Edriss Saleh 1 Tse, Frank
all top 5

#### Serials

 7 Theoretical and Computational Fluid Dynamics 3 Archive for Rational Mechanics and Analysis 3 Journal of Computational Physics 3 Indiana University Mathematics Journal 3 Physica D 3 Physics of Fluids 2 Journal of Fluid Mechanics 2 European Journal of Mechanics. B. Fluids 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 International Journal of Theoretical Physics 1 Physics Letters. A 1 Fluid Dynamics Research 1 Bulletin of the London Mathematical Society 1 Hokkaido Mathematical Journal 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Advances in Mathematical Sciences and Applications 1 Russian Journal of Mathematical Physics 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 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

 58 Fluid mechanics (76-XX) 42 Partial differential equations (35-XX) 18 Geophysics (86-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-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) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

62 Publications have been cited 566 times in 292 Documents Cited by Year
Global regularity of $$3D$$ rotating Navier-Stokes equations for resonant domains. Zbl 0932.35160
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
1999
Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Zbl 0890.35109
Babin, A.; Mahalov, A.; Nicolaenko, B.
1997
3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity. Zbl 1013.35065
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
2001
Invariant helical subspaces for the Navier-Stokes equations. Zbl 0708.76044
Mahalov, A.; Titi, E. S.; Leibovich, S.
1990
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.
1996
Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data. Zbl 1159.35055
Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen
2008
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
2006
Global regularity of 3D rotating Navier-Stokes equations for resonant domains. Zbl 0963.76020
Babin, A.; Mahalov, A.; Nicolaenko, B.
2000
On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations. Zbl 0912.76092
Babin, A.; Mahalov, A.; Nicolaenko, B.; Zhou, Y.
1997
On the regularity of three-dimensional rotating Euler-Boussinesq equations. Zbl 1035.76055
Babin, A.; Mahalov, A.; Nicolaenko, B.
1999
Long-time averaged Euler and Navier-Stokes equations for rotating fluids. Zbl 0872.76097
Babin, A.; Mahalov, A.; Nicolaenko, B.
1995
Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics. Zbl 0814.76048
Knobloch, Edgar; Mahalov, Alex; Marsden, Jerrold E.
1994
$$L_{3,\infty}$$-solutions to the MHD equations. Zbl 1127.35047
Mahalov, A.; Nicolaenko, B.; Shilkin, T.
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
2005
On nonlinear baroclinic waves and adjustment of pancake dynamics. Zbl 0957.76092
Babin, A.; Mahalov, A.; Nicolaenko, B.
1998
The instability of rotating fluid columns subjected to a weak external Coriolis force. Zbl 0850.76238
Mahalov, A.
1993
Instability induced by symmetry reduction. Zbl 1050.37516
Guckenheimer, J.; Mahalov, A.
1992
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
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
2007
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.
2003
Analytical and phenomenological studies of rotating turbulence. Zbl 1027.76598
Mahalov, Alex; Zhou, Ye
1996
Nonlinear stability of Ekman boundary layers. Zbl 1197.35193
Hess, Matthias; Hieber, Matthias; Mahalov, Alex; Saal, Jürgen
2010
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
2008
The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074
Giga, Y.; Mahalov, A.; Nicolaenko, B.
2007
Strongly stratified limit of 3D primitive equations in an infinite layer. Zbl 1001.76030
Babin, A.; Mahalov, A.; Nicolaenko, B.
2001
Global splitting and regularity of rotating shallow-water equations. Zbl 0889.76007
Babin, A.; Mahalov, A.; Nicolaenko, B.
1997
Resonant triad interactions in symmetric systems. Zbl 0743.76029
Guckenheimer, John; Mahalov, Alex
1992
Global well-posedness for the rotating Navier-Stokes-Boussinesq equations with stratification effects. Zbl 1283.35086
Koba, Hajime; Mahalov, Alex; Yoneda, Tsuyoshi
2012
Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020
Flandoli, Franco; Mahalov, Alex
2012
Global solutions for the incompressible rotating stably stratified fluids. Zbl 1360.76075
Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo
2017
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.
2004
Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics. Zbl 0962.76020
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
2000
Resonances and regularity for Boussinesq equations. Zbl 0955.76521
Babin, Anatoli V.; Mahalov, Alex; Nicolaenko, Basil
1996
On the problem of electromagnetic-field quantization. Zbl 1283.81061
Krattenthaler, Christian; Kryuchkov, Sergey I.; Mahalov, Alex; Suslov, Sergei K.
2013
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.
2002
Regularity and integrability of rotating shallow-water equations. Zbl 0883.76014
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
1997
On the calculation of coupling coefficients in amplitude equations. Zbl 0759.65087
Mahalov, Alex; Leibovich, Sidney
1992
Euler equation on a fast rotating sphere-time-averages and zonal flows. Zbl 1347.86003
Cheng, Bin; Mahalov, Alex
2013
Vertically nested nonhydrostatic model for multiscale resolution of flows in the upper troposphere and lower stratosphere. Zbl 1330.86008
Mahalov, Alex; Moustaoui, Mohamed
2009
Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1119.35049
Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya
2007
Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces. Zbl 1404.35012
Hieber, Matthias; Mahalov, Alex; Takada, Ryo
2019
Solution of paraxial wave equation for inhomogeneous media in linear and quadratic approximation. Zbl 1309.35139
Mahalov, Alex; Suslov, Sergei K.
2015
Kalman filter data assimilation: targeting observations and parameter estimation. Zbl 1345.94011
Bellsky, Thomas; Kostelich, Eric J.; Mahalov, Alex
2014
Maxwell solutions in media with random interfaces. Zbl 1355.65014
Jung, Chang-Yeol; Kwon, Bongsuk; Mahalov, Alex; Nguyen, Thien Binh
2014
An “Airy gun”: self-accelerating solutions of the time-dependent Schrödinger equation in vacuum. Zbl 1396.81083
Mahalov, Alex; Suslov, Sergei K.
2012
On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data. Zbl 1270.35343
Giga, Yoshikazu; Mahalov, Alex; Yoneda, Tsuyoshi
2011
Bursting dynamics of the 3D Euler equations in cylindrical domains. Zbl 1260.76006
Golse, François; Mahalov, Alex; Nicolaenko, Basil
2008
Computational studies of inertia-gravity waves radiated from upper tropospheric jets. Zbl 1161.76479
Mahalov, A.; Moustaoui, M.; Nicolaenko, B.; Tse, K. L.
2007
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.
2005
Vortex tubes in shear-stratified turbulent flows. Zbl 1142.76395
Farge, Marie; Azzalini, Alexandre; Mahalov, Alex; Nicolaenko, Basil; Tse, Frank; Pellegrino, Giulio; Schneider, Kai
2002
On the Hamiltonian structure and three-dimensional instabilities of rotating liquid bridges. Zbl 1051.76571
Kruse, Hans Peter; Mahalov, Alex; Marsden, Jerrold E.
1999
On regularity of solutions of 3D Navier-Stokes equations. Zbl 1022.76010
Avrin, J.; Babin, A.; Mahalov, A.; Nicolaenko, B.
1999
Multiple bifurcation of rotating pipe flow. Zbl 0737.76084
Mahalov, Alex; Leibovich, Sidney
1991
Time-filtered leapfrog integration of Maxwell equations using unstaggered temporal grids. Zbl 1375.78041
Mahalov, A.; Moustaoui, M.
2016
Stability of time periodic solutions for the rotating Navier-Stokes equations. Zbl 1338.35335
Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo
2016
Lagrangian dynamics in stochastic inertia-gravity waves. Zbl 1308.76059
Tang, Wenbo; Taylor, Jesse E.; Mahalov, Alex
2010
Three-dimensional instabilities in non-parallel shear stratified flows. Zbl 1372.76051
Mahalov, Alex; Moustaoui, Mohamed; Nicolaenko, Basil
2009
New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325
Mahalov, A.; Nicolaenko, B.; Seregin, G.
2008
Regularity of Euler equations for a class of three-dimensional initial data. Zbl 1076.35088
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F.
2005
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.
2001
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
1999
Integrability and regularity of 3D Euler and equations for uniformly rotating fluids. Zbl 0867.76012
Babin, A.; Mahalov, A.; Nicolaenko, B.
1996
Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces. Zbl 1404.35012
Hieber, Matthias; Mahalov, Alex; Takada, Ryo
2019
Global solutions for the incompressible rotating stably stratified fluids. Zbl 1360.76075
Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo
2017
Time-filtered leapfrog integration of Maxwell equations using unstaggered temporal grids. Zbl 1375.78041
Mahalov, A.; Moustaoui, M.
2016
Stability of time periodic solutions for the rotating Navier-Stokes equations. Zbl 1338.35335
Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo
2016
Solution of paraxial wave equation for inhomogeneous media in linear and quadratic approximation. Zbl 1309.35139
Mahalov, Alex; Suslov, Sergei K.
2015
Kalman filter data assimilation: targeting observations and parameter estimation. Zbl 1345.94011
Bellsky, Thomas; Kostelich, Eric J.; Mahalov, Alex
2014
Maxwell solutions in media with random interfaces. Zbl 1355.65014
Jung, Chang-Yeol; Kwon, Bongsuk; Mahalov, Alex; Nguyen, Thien Binh
2014
On the problem of electromagnetic-field quantization. Zbl 1283.81061
Krattenthaler, Christian; Kryuchkov, Sergey I.; Mahalov, Alex; Suslov, Sergei K.
2013
Euler equation on a fast rotating sphere-time-averages and zonal flows. Zbl 1347.86003
Cheng, Bin; Mahalov, Alex
2013
Global well-posedness for the rotating Navier-Stokes-Boussinesq equations with stratification effects. Zbl 1283.35086
Koba, Hajime; Mahalov, Alex; Yoneda, Tsuyoshi
2012
Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020
Flandoli, Franco; Mahalov, Alex
2012
An “Airy gun”: self-accelerating solutions of the time-dependent Schrödinger equation in vacuum. Zbl 1396.81083
Mahalov, Alex; Suslov, Sergei K.
2012
On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data. Zbl 1270.35343
Giga, Yoshikazu; Mahalov, Alex; Yoneda, Tsuyoshi
2011
Nonlinear stability of Ekman boundary layers. Zbl 1197.35193
Hess, Matthias; Hieber, Matthias; Mahalov, Alex; Saal, Jürgen
2010
Lagrangian dynamics in stochastic inertia-gravity waves. Zbl 1308.76059
Tang, Wenbo; Taylor, Jesse E.; Mahalov, Alex
2010
Vertically nested nonhydrostatic model for multiscale resolution of flows in the upper troposphere and lower stratosphere. Zbl 1330.86008
Mahalov, Alex; Moustaoui, Mohamed
2009
Three-dimensional instabilities in non-parallel shear stratified flows. Zbl 1372.76051
Mahalov, Alex; Moustaoui, Mohamed; Nicolaenko, Basil
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
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
2008
Bursting dynamics of the 3D Euler equations in cylindrical domains. Zbl 1260.76006
Golse, François; Mahalov, Alex; Nicolaenko, Basil
2008
New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325
Mahalov, A.; Nicolaenko, B.; Seregin, G.
2008
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
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
2007
The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074
Giga, Y.; Mahalov, A.; Nicolaenko, B.
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
2007
Computational studies of inertia-gravity waves radiated from upper tropospheric jets. Zbl 1161.76479
Mahalov, A.; Moustaoui, M.; Nicolaenko, B.; Tse, K. L.
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
2006
$$L_{3,\infty}$$-solutions to the MHD equations. Zbl 1127.35047
Mahalov, A.; Nicolaenko, B.; Shilkin, T.
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
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.
2005
Regularity of Euler equations for a class of three-dimensional initial data. Zbl 1076.35088
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F.
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.
2004
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.
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.
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
2002
3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity. Zbl 1013.35065
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
2001
Strongly stratified limit of 3D primitive equations in an infinite layer. Zbl 1001.76030
Babin, A.; Mahalov, A.; Nicolaenko, B.
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.
2001
Global regularity of 3D rotating Navier-Stokes equations for resonant domains. Zbl 0963.76020
Babin, A.; Mahalov, A.; Nicolaenko, B.
2000
Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics. Zbl 0962.76020
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
2000
Global regularity of $$3D$$ rotating Navier-Stokes equations for resonant domains. Zbl 0932.35160
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
1999
On the regularity of three-dimensional rotating Euler-Boussinesq equations. Zbl 1035.76055
Babin, A.; Mahalov, A.; Nicolaenko, B.
1999
On the Hamiltonian structure and three-dimensional instabilities of rotating liquid bridges. Zbl 1051.76571
Kruse, Hans Peter; Mahalov, Alex; Marsden, Jerrold E.
1999
On regularity of solutions of 3D Navier-Stokes equations. Zbl 1022.76010
Avrin, J.; Babin, A.; Mahalov, A.; Nicolaenko, B.
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
1999
On nonlinear baroclinic waves and adjustment of pancake dynamics. Zbl 0957.76092
Babin, A.; Mahalov, A.; Nicolaenko, B.
1998
Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Zbl 0890.35109
Babin, A.; Mahalov, A.; Nicolaenko, B.
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.
1997
Global splitting and regularity of rotating shallow-water equations. Zbl 0889.76007
Babin, A.; Mahalov, A.; Nicolaenko, B.
1997
Regularity and integrability of rotating shallow-water equations. Zbl 0883.76014
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
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.
1996
Analytical and phenomenological studies of rotating turbulence. Zbl 1027.76598
Mahalov, Alex; Zhou, Ye
1996
Resonances and regularity for Boussinesq equations. Zbl 0955.76521
Babin, Anatoli V.; Mahalov, Alex; Nicolaenko, Basil
1996
Integrability and regularity of 3D Euler and equations for uniformly rotating fluids. Zbl 0867.76012
Babin, A.; Mahalov, A.; Nicolaenko, B.
1996
Long-time averaged Euler and Navier-Stokes equations for rotating fluids. Zbl 0872.76097
Babin, A.; Mahalov, A.; Nicolaenko, B.
1995
Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics. Zbl 0814.76048
Knobloch, Edgar; Mahalov, Alex; Marsden, Jerrold E.
1994
The instability of rotating fluid columns subjected to a weak external Coriolis force. Zbl 0850.76238
Mahalov, A.
1993
Instability induced by symmetry reduction. Zbl 1050.37516
Guckenheimer, J.; Mahalov, A.
1992
Resonant triad interactions in symmetric systems. Zbl 0743.76029
Guckenheimer, John; Mahalov, Alex
1992
On the calculation of coupling coefficients in amplitude equations. Zbl 0759.65087
Mahalov, Alex; Leibovich, Sidney
1992
Multiple bifurcation of rotating pipe flow. Zbl 0737.76084
Mahalov, Alex; Leibovich, Sidney
1991
Invariant helical subspaces for the Navier-Stokes equations. Zbl 0708.76044
Mahalov, A.; Titi, E. S.; Leibovich, S.
1990
all top 5

#### Cited by 396 Authors

 24 Mahalov, Alex 12 Gallagher, Isabelle 10 Takada, Ryo 7 Hieber, Matthias 7 Marsden, Jerrold Eldon 7 Nicolaenko, Basil 7 Yoneda, Tsuyoshi 6 Charve, Frédéric 6 Titi, Edriss Saleh 5 Babin, A. 5 Chemin, Jean-Yves 5 Ferreira, Lucas Catão de Freitas 5 Giga, Yoshikazu 5 Iwabuchi, Tsukasa 5 Knobloch, Edgar 5 Niu, Dongjuan 5 Novotný, Antonín 5 Wu, Gang 4 Desjardins, Benoît 4 Feireisl, Eduard 4 Grenier, Emmanuel 4 Lagrange, Romain 4 Nadal, François 4 Pham, Hieu T. 4 Saal, Jürgen 4 Sarkar, Sutanu 4 Sun, Jinyi 4 Suslov, Sergei K. 4 Wang, Weihua 3 Bartello, Peter 3 Bourouiba, Lydia 3 Domaradzki, J. Andrzej 3 Eloy, Christophe 3 Hou, Thomas Yizhao 3 Leibovich, Sidney 3 Masmoudi, Nader 3 Meunier, Patrice 3 Moustaoui, Mohamed 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 Thomas, Jim 3 Vega-Guzmán, José M. 3 Wirosoetisno, Djoko 3 Yang, Minghua 3 Zhou, Ye 2 Babin, Anatoli V. 2 Benvenutti, Maicon J. 2 Berselli, Luigi Carlo 2 Bloch, Anthony M. 2 Bresch, Didier 2 Caraballo Garrido, Tomás 2 Cheng, Bin 2 Colin, Thierry 2 Cui, Shangbin 2 de Almeida, Marcelo Fernandes 2 Doering, Charles R. 2 Elgindi, Tarek Mohamed 2 Fanelli, Francesco 2 Fang, Daoyuan 2 Farge, Marie 2 Flandoli, Franco 2 Fukumoto, Yasuhide 2 Gubinelli, Massimiliano 2 Guo, Zhenhua 2 Han, Bin 2 Hattori, Yuji 2 Herbert, Corentin 2 Horiuti, Kiyosi 2 Ibrahim, Slim 2 Jiu, Quansen 2 Kang, Kyungkeun 2 Koba, Hajime 2 Krishnaprasad, P.s. 2 Kurien, Susan 2 Kwon, Young-Sam 2 Liu, Linfang 2 Lopes Filho, Milton da Costa 2 Lubarda, Vlado A. 2 Marino, Raffaele 2 Mazzucato, Anna L. 2 Mucha, Piotr Bogusław 2 Nečasová, Šárka 2 Neustupa, Jiří 2 Nussenzveig Lopes, Helena Judith 2 Penel, Patrick 2 Petcu, Madalina 2 Porter, Jeff 2 Pouquet, Annick G. 2 Qin, Yuming 2 Ratiu, Tudor Stefan 2 Riley, James J. 2 Rubinstein, Robert 2 Schneider, Kai 2 Silber, Mary 2 Smith, Leslie M. ...and 296 more Authors
all top 5

#### Cited in 89 Serials

 34 Journal of Fluid Mechanics 22 Physica D 17 Journal of Differential Equations 17 Physics of Fluids 10 Journal of Mathematical Analysis and Applications 10 Journal of Mathematical Fluid Mechanics 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Archive for Rational Mechanics and Analysis 8 Communications in Mathematical Physics 6 Discrete and Continuous Dynamical Systems 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Functional Analysis 5 Applied Mathematics Letters 4 Communications on Pure and Applied Mathematics 4 Journal of Computational Physics 4 Theoretical and Computational Fluid Dynamics 4 Communications in Partial Differential Equations 4 Journal of Dynamics and Differential Equations 4 Acta Mathematica Sinica. English Series 4 Nonlinear Analysis. Real World Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Nonlinearity 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Computation 3 Journal of Nonlinear Science 3 Journal of Evolution Equations 2 Acta Mechanica 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Physics of Fluids, A 2 Journal of the Mathematical Society of Japan 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Revista Matemática Iberoamericana 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Journal of Mathematical Sciences (New York) 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 European Journal of Mechanics. B. Fluids 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 1 Computers and Fluids 1 International Journal of Engineering Science 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Reviews of Modern Physics 1 Arkiv för Matematik 1 Advances in Mathematics 1 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 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 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 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 Nonlinear Dynamics 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics and Computing 1 Milan Journal of Mathematics 1 Acta Numerica 1 Boundary Value Problems 1 Waves in Random and Complex Media 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Kinetic and Related Models 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Mathematics 1 Journal of Function Spaces 1 Annales Henri Lebesgue
all top 5

#### Cited in 30 Fields

 244 Fluid mechanics (76-XX) 193 Partial differential equations (35-XX) 41 Geophysics (86-XX) 22 Dynamical systems and ergodic theory (37-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Numerical analysis (65-XX) 11 Mechanics of particles and systems (70-XX) 8 Probability theory and stochastic processes (60-XX) 5 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-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 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)