Long time existence of classical solutions for the 3D incompressible rotating Euler equations

DOI10.2969/jmsj/06820579zbMath1338.35346OpenAlexW2338817914MaRDI QIDQ296532

Ryo Takada

Publication date: 23 June 2016

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1460727371

zbMATH Keywords

Coriolis force3D Euler equationslong time existence

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (11)

Classical solutions for the Euler equations of compressible fluid dynamics: A new topological approach ⋮ Inviscid incompressible limits for rotating fluids ⋮ Decay estimate and well-posedness for the 3D Euler equations with Coriolis force ⋮ On the stabilizing effect of rotation in the 3d Euler equations ⋮ Enhanced convergence rates and asymptotics for a dispersive Boussinesq-type system with large ill-prepared data ⋮ Refined long time existence of the Boussinesq equation with large initial data in \(\mathbb{R}^n\) ⋮ Long time existence of classical solutions for the rotating Euler equations and related models in the optimal Sobolev space ⋮ Global axisymmetric Euler flows with rotation ⋮ Long time existence and asymptotic behavior of solutions for the 2D quasi-geostrophic equation with large dispersive forcing ⋮ Long time solutions for the 2D inviscid Boussinesq equations with strong stratification ⋮ Strongly stratified limit for the 3D inviscid Boussinesq equations

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