Existence and uniqueness of global solution of the Hasegawa–Mima equation

DOI10.1063/1.1667607zbMath1068.35029OpenAlexW2062431353MaRDI QIDQ4833378

Bo-ling Guo, Yong Qian Han

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1667607

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Turbulence (76F99) Initial value problems for nonlinear higher-order PDEs (35G25)

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Dynamical behavior for the three-dimensional generalized Hasegawa-Mima equations ⋮ Initial boundary value problem for the 3D magnetic-curvature-driven Rayleigh-Taylor model ⋮ Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation ⋮ Conservation laws, soliton solutions and modulation instability for the coupled Gerdjikov-Ivanov equations ⋮ An alternative energy bound derivation for a generalized Hasegawa-Mima equation ⋮ 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 attractor for Hasegawa-Mima equation ⋮ Global smooth solution of a two-dimensional nonlinear singular system of differential equations arising from geostrophics ⋮ Global-in-time existence results for the two-dimensional Hasegawa-Wakatani equations ⋮ Existence and stability of steady waves for the Hasegawa-Mima equation ⋮ Decay of solutions to a two-layer quasi-geostrophic model

Cites Work

• On the Euler equations of incompressible perfect fluids
• Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
• An energy estimate for a perturbed Hasegawa-Mima equation
• Concentrations in regularizations for 2‐D incompressible flow
• Non-stationary flow of an ideal incompressible liquid