Regularity results for a class of generalized surface quasi-geostrophic equations

DOI10.1016/j.matpur.2019.01.009zbMath1428.35369arXiv1802.07705OpenAlexW2963646850WikidataQ128511142 ScholiaQ128511142MaRDI QIDQ2274103

Liutang Xue, Omar Lazar

Publication date: 19 September 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07705

zbMATH Keywords

regularitytransport equationsglobal weak solutionsSQG equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86)

Related Items (3)

Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc ⋮ On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces ⋮ On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces

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