On the global classical solutions for the generalized SQG equation

DOI10.1016/j.jfa.2022.109503zbMath1506.35242arXiv2104.11048OpenAlexW3156993087MaRDI QIDQ2135170

Changjun Zou, Weicheng Zhan, Guolin Qin, Dao-Min Cao

Publication date: 4 May 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11048

zbMATH Keywords

global solutionsrotating solutionstraveling-wave solutionsgeneralized surface quasi-geostrophic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hydrology, hydrography, oceanography (86A05) Variational methods applied to PDEs (35A15) 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) Traveling wave solutions (35C07) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items (4)

Active vector models generalising 3D Euler and electron–MHD equations ⋮ Axi-symmetric solutions for active vector models generalizing 3D Euler and electron-MHD equations ⋮ Existence of traveling asymmetric vortex pairs in an ideal fluid ⋮ Global solutions for the generalized SQG equation and rearrangements

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