Dissipative Quasi-Geostrophic Equations with Lp Data
Files
Date
2001-08-03
Authors
Wu, Jiahong
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We seek solutions of the initial value problem for the 2D dissipative quasi-geostrophic (QG) equation with Lp initial data. The 2D dissipative QG equation is a two dimensional model of the 3D incompressible Navier-Stokes equations. We prove global existence and uniqueness of regular solutions for the dissipative QG equation with sub-critical powers. For the QG equation with critical or super-critical powers, we establish explicit global Lp bounds for its solutions and conclude that any possible finite time singularity must occur in the first order derivative.
Description
Keywords
2D quasi-geostrophic equation, Initial-value problem, Existence, Uniqueness
Citation
Wu, J. (2001). Dissipative quasi-geostrophic equations with Lp data. <i>Electronic Journal of Differential Equations, 2001</i>(56), pp. 1-13.
Rights
Attribution 4.0 International