On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces
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Publication:2231689
DOI10.1007/s00220-021-04124-9zbMath1479.35866arXiv2101.07228OpenAlexW3186902857MaRDI QIDQ2231689
Vincent R. Martinez, Anuj Kumar, Michael S. Jolly
Publication date: 30 September 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.07228
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) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59) Geophysical flows (76U60)
Related Items (4)
Long time behavior for the critical modified surface quasi-geostrophic equation ⋮ Strong ill-posedness for SQG in critical Sobolev spaces ⋮ Optimal Gevrey regularity for supercritical quasi-geostrophic equations ⋮ On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces
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