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Open Access Research

Regularity of global solution to atmospheric circulation equations with humidity effect

Hong Luo

Author affiliations

College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, 610066, China

Citation and License

Boundary Value Problems 2012, 2012:143  doi:10.1186/1687-2770-2012-143

Published: 5 December 2012

Abstract

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.

Keywords:
global solution; regularity; atmospheric circulation equations; humidity effect