Global attractor for Hasegawa-Mima equation

DOI10.1007/s10483-006-0501-1zbMath1144.76007OpenAlexW2054989031MaRDI QIDQ944663

Rui-feng Zhang, Bo-ling Guo

Publication date: 17 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-006-0501-1

zbMATH Keywords

existencelong-time behaviordissipation termuniform a priori estimate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (6)

Dynamical behavior for the three-dimensional generalized Hasegawa-Mima equations ⋮ Initial boundary value problem for the 3D magnetic-curvature-driven Rayleigh-Taylor model ⋮ Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model ⋮ Dynamical behaviors of stochastic Hasegawa-Mima equation in torus ⋮ The global attractors for the dissipative generalized Hasegawa-Mima equation ⋮ Global-in-time existence results for the two-dimensional Hasegawa-Wakatani equations

Cites Work

• Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
• Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
• An energy estimate for a perturbed Hasegawa-Mima equation
• Existence and uniqueness of global solution of the Hasegawa–Mima equation
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