Existence of a unique global solution, and its decay at infinity, for the modified supercritical dissipative quasi-geostrophic equation

DOI10.1007/s00028-024-00947-wzbMath1543.3517MaRDI QIDQ6570502

Wilberclay G. Melo

Publication date: 10 July 2024

Published in: Journal of Evolution Equations (Search for Journal in Brave)

zbMATH Keywords

decay of solutionsexistence of global solutionsmodified quasi-geostrophic equationuniqueness of global solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Fractional derivatives and integrals (26A33) 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) Geophysical flows (76U60)

This page was built for publication: Existence of a unique global solution, and its decay at infinity, for the modified supercritical dissipative quasi-geostrophic equation