## arXiv Analytics

### arXiv:2102.11256 [math.AP]AbstractReferencesReviewsResources

#### Asymptotic study of supercritical surface Quasi-Geostrophic equation in critical space

Published 2021-02-22Version 1

In this paper we prove, if $\theta\in C([0,\infty),H^{2-2\alpha}(\mathbb R^2))$ is a global solution of supercritical surface Quasi-Geostrophic equation with small initial data, then $\|\theta(t)\|_{H^{2-2\alpha}}$ decays to zero as time goes to infinity. Fourier analysis and standard techniques are used.

Comments: global solution, supercritical surface Quasi-Geostrophic equation, Asymptotic study
Categories: math.AP
Related articles: Most relevant | Search more
arXiv:0807.0882 [math.AP] (Published 2008-07-06)
Ill-posedness of the Navier-Stokes equations in a critical space in 3D
arXiv:1612.07579 [math.AP] (Published 2016-12-22)
Global solution of the Wadati-Konno-Ichikawa equation with small initial data
arXiv:1609.03848 [math.AP] (Published 2016-09-13)
Modified Scattering and Beating Effect for Coupled Schrödinger Systems on Product Spaces with Small Initial Data