The global strong solutions of Hasegawa-Mima-Charney-Obukhov equation

DOI10.1063/1.2008208zbMath1110.35064OpenAlexW1969905831MaRDI QIDQ3438582

Anyou Zhu, Hong-Jun Gao

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2008208

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (3)

Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation ⋮ Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model ⋮ Global-in-time existence results for the two-dimensional Hasegawa-Wakatani equations

Cites Work

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• Nonlinear evolution equations and the Euler flow
• Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
• A maximum principle applied to quasi-geostrophic equations
• The 2D dissipative quasi-geostrophic equation
• Some remarks on a Hasegawa-Mima-Charney-Obukhov equation
• Commutator estimates and the euler and navier-stokes equations
• The simplified quasigeostrophic equations: Existence and uniqueness of strong solutions
• Nonlinear Schrödinger evolution equations
• The periodic quasigeostrophic equations: existence and uniqueness of strong solutions
• Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
• Behavior of Solutions of 2D Quasi-Geostrophic Equations

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