Stability and instability analyses of the dissipative quasi-geostrophic equation

DOI10.1088/0951-7715/21/4/006zbMath1133.76024OpenAlexW2076701093MaRDI QIDQ5458167

Zhi Min Chen, W. G. Price

Publication date: 11 April 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/21/4/006

zbMATH Keywords

nonlinear stabilityperiodic flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (6)

Asymptotic behavior of weak solutions to the generalized nonlinear partial differential equation model ⋮ Asymptotic profile of solutions to the two-dimensional dissipative quasi-geostrophic equation ⋮ \(L^{2}\) stability for solutions of subcritical quasi-geostrophic equation with large perturbations ⋮ Asymptotic convergence rate of supercritical surface quasi-geostrophic equation in Morrey space ⋮ Stability analysis of the supercritical surface quasi-geostrophic equation ⋮ Steady-state bifurcation analysis of a strong nonlinear atmospheric vorticity equation

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