The global attractors for the dissipative generalized Hasegawa-Mima equation

DOI10.1007/s10255-004-4131-9zbMath1156.35334OpenAlexW2168276618MaRDI QIDQ925970

Rui-feng Zhang

Publication date: 26 May 2008

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-004-4131-9

zbMATH Keywords

Hausdorff dimensionfractal dimensionperiodic initial value problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45)

Related Items (3)

Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model ⋮ Dynamical behaviors of stochastic Hasegawa-Mima equation in torus ⋮ The existence of solutions for the problem in the optical lattice with nonlocal nonlinearity

Cites Work

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• Global attractor for Hasegawa-Mima equation
• 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
• Existence and uniqueness of global solution of the Hasegawa–Mima equation

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