Regularity of global solution to atmospheric circulation equations with humidity effect
College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, 610066, China
Boundary Value Problems 2012, 2012:143 doi:10.1186/1687-2770-2012-143Published: 5 December 2012
In this article, the regularity of the global solutions to atmospheric circulation equations with humidity effect is considered. Firstly, the formula of the global solutions is obtained by using the theory of linear operator semigroups. Secondly, the regularity of the global solutions to atmospheric circulation equations is presented by using mathematical induction and regularity estimates for the linear semigroups.
MSC: 35D35, 35K20, 35Q35.