Existence of solutions and their behavior for the anisotropic quasi-geostrophic equation in Sobolev and Sobolev-Gevrey spaces
DOI10.1016/j.jmaa.2023.127661zbMath1528.35208OpenAlexW4385728329MaRDI QIDQ6058838
Thyago S. R. Santos, Wilberclay G. Melo, Natielle dos Santos Costa
Publication date: 1 November 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127661
decay ratesglobal solutionsSobolev-Gevrey spacesanisotropic quasi-geostrophic equationGevrey regularity of global solutions
Smoothness and regularity of solutions to PDEs (35B65) Hydrology, hydrography, oceanography (86A05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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