Decay rates for mild solutions of the quasi-geostrophic equation with critical fractional dissipation in Sobolev-Gevrey spaces

DOI10.1007/s10440-023-00582-6zbMath1529.35519OpenAlexW4381335003MaRDI QIDQ6175455

Wilberclay G. Melo, Natielle dos Santos Costa, Natã Firmino Rocha

Publication date: 24 July 2023

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-023-00582-6

zbMATH Keywords

decay ratesquasi-geostrophic equationSobolev-Gevrey spacesglobal mild solutionsanalyticity of global mild solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Fractional derivatives and integrals (26A33) Analyticity in context of PDEs (35A20) 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) Harmonic analysis and PDEs (42B37) Geophysical flows (76U60)

Related Items (1)

Existence of solutions and their behavior for the anisotropic quasi-geostrophic equation in Sobolev and Sobolev-Gevrey spaces

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