Integrability and regularity of 3D Euler and equations for uniformly rotating fluids

DOI10.1016/0898-1221(96)00040-5zbMath0867.76012OpenAlexW1964507245MaRDI QIDQ1921217

A. Babin, Basil Nicolaenko, A. S. Makhalov

Publication date: 14 August 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00040-5

zbMATH Keywords

periodic solutionssmooth initial dataexistence of regular solutionsanisotropic Rossby numberCoriolis force termvertically averaged initial data

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05)

Related Items (1)

Renormalization group method applied to the primitive equations

Cites Work

• Les invariants du premier ordre de l'équation d'Euler en dimension trois (The first order invariants of the three-dimensional Euler equations)
• On the Euler equations of incompressible perfect fluids
• Oscillatory perturbations of the Navier-Stokes equations
• On classical solutions of the two-dimensional non-stationary Euler equation
• Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Stable and Random Motions in Dynamical Systems
• One-point modelling of rapidly deformed homogeneous turbulence
• Partial regularity of suitable weak solutions of the navier-stokes equations
• ON THE REGULARITY OF THREE-DIMENSIONAL ROTATING EULER–BOUSSINESQ EQUATIONS
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
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