Analyticity and large time behavior for the Burgers equation and the quasi-geostrophic equation, the both with the critical dissipation
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Publication:2188109
DOI10.1016/j.anihpc.2020.02.003zbMath1441.35255arXiv2001.07097OpenAlexW3011402404MaRDI QIDQ2188109
Publication date: 3 June 2020
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.07097
Cauchy problemBurgers equationlong time behaviorcritical dissipationquasigeostrophic equationanalyticity of solutions
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Fractional partial differential equations (35R11)
Related Items (10)
Stability result for the surface quasi-geostropic equations with horizontal dissipation in anisotropic Sobolev space ⋮ On analyticity up to the boundary for critical quasi-geostrophic equation in the half space ⋮ Long-time asymptotic behavior of the generalized two-dimensional quasi-geostrophic equation ⋮ Large-time behaviour of solutions to the surface quasi-geostrophic equation ⋮ Refined decay estimate and analyticity of solutions to the linear heat equation in homogeneous Besov spaces ⋮ Self-similar solutions to the hypoviscous Burgers and SQG equations at criticality ⋮ Optimal Gevrey regularity for supercritical quasi-geostrophic equations ⋮ Long-time behavior of scalar conservation laws with critical dissipation ⋮ Gevrey regularity and finite time singularities for the Kakutani-Matsuuchi model ⋮ An application of spectral localization to the critical SQG on a ball
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