Long-time decay to the global solution of the 2D dissipative quasigeostrophic equation

DOI10.1155/2012/627813zbMath1246.35193OpenAlexW2158593451WikidataQ58695720 ScholiaQ58695720MaRDI QIDQ437593

Mongi Blel, Jamel Ben Ameur

Publication date: 18 July 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/627813

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with geophysics (35Q86)

Related Items (9)

Global Well-Posedness and Asymptotic Behavior for the 2D Subcritical Dissipative Quasi-Geostrophic Equation in Critical Fourier-Besov-Morrey Spaces ⋮ Well-posedness and blow-up of solutions for the 2D dissipative quasi-geostrophic equation in critical Fourier-Besov-Morrey spaces ⋮ Asymptotic study of the 2D-DQGE solutions ⋮ Gevrey Class Regularity for the 2D Subcritical Dissipative Quasi-geostrophic Equation in Critical Fourier-Besov-Morrey Spaces ⋮ Long-time behavior of global solutions of anisotropic quasi-geostrophic equations in Sobolev space ⋮ Large time behaviour of solutions to the 3D-NSE in \(\mathcal{X}^\sigma\) spaces ⋮ Long time behavior of the solution of the two-dimensional dissipative QGE in Lei-Lin spaces ⋮ Global well-posedness, Gevrey class regularity and large time asymptotics for the dissipative quasi-geostrophic equation in Fourier-Besov spaces ⋮ Decay characterization of solutions to dissipative equations

Cites Work

• Dissipative quasi-geostrophic equation for large initial data in the critical Sobolev space
• Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space
• Existence and uniqueness results for the 2-D dissipative quasi-geostrophic equation
• Decay of weak solutions to the 2D dissipative quasi-geostrophic equation
• Dissipative Quasi-Geostrophic Equation: Local Well-posedness, Global Regularity and Similarity Solutions
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar

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