Global existence for the regularized surface Quasi-geostrophic equation and its inviscid limits
College of Applied Sciences, Beijing University of Technology, Ping Le Yuan 100, Chaoyang District, Beijing 100124, People's Republic of China
Boundary Value Problems 2011, 2011:41 doi:10.1186/1687-2770-2011-41Published: 27 October 2011
We study solutions of the initial value problem for the 2D regularized surface quasi-geostrophic (RSQG) equation. For initial data, we prove the global existence and uniqueness of weak solution for RSQG equation with subcritical powers. For RSQG equation, we establish some regularization results and prove the inviscid limit of the RSQG equation to the classical quasi-geostrophic equation.
Mathematics Subject Classifications
35Q35; 76U05; 86A10.