Local Well-Posedness for the Hyperelastic Rots Equation in Besov Space  

作　　者：Shenggui LIU 

机构地区：[1]Department of Mathematics, Jiaying University

出　　处：《Journal of Mathematical Research with Applications》2016年第2期213-222,共10页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11001107)

摘　　要：This paper is concerned with the cauchy problem for the hyperelastic rots equation in Besov space. By virtue of the Littlewood-Paley decomposition, the local well-posedness for the equation in Besov space is established. Furthermore, the blow-up criterion for the solutions of the hyperelastic rots equation is derived.This paper is concerned with the cauchy problem for the hyperelastic rots equation in Besov space. By virtue of the Littlewood-Paley decomposition, the local well-posedness for the equation in Besov space is established. Furthermore, the blow-up criterion for the solutions of the hyperelastic rots equation is derived.

关 键 词：Hyperelastic rots equations Cauchy problem local well-posedness blow-up criterion Besov space 

分 类 号：O175[理学—数学]