Global well-posedness of smooth solution to the supercritical SQG equation with large dispersive forcing and small viscosity

DOI10.1016/j.na.2017.08.008zbMath1374.35321OpenAlexW2754448973MaRDI QIDQ1675408

Jiecheng Chen, Renhui Wan

Publication date: 27 October 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.08.008

zbMATH Keywords

small viscositylarge dispersive forcingsupercritical SQG equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (5)

Sharp dispersive estimates for an anisotropic linear operator group ⋮ Long time stability for the dispersive SQG equation and Boussinesq equations in Sobolev space Hs ⋮ Global solutions to the dissipative quasi-geostrophic equation with dispersive forcing ⋮ Long time existence of classical solutions for the rotating Euler equations and related models in the optimal Sobolev space ⋮ Long time existence and asymptotic behavior of solutions for the 2D quasi-geostrophic equation with large dispersive forcing

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