二维无旋可压缩Euler方程解的几何爆破  

The Blowup of Solutions for Two Dimensional Irrotational Compressible Euler Equations

作　　者：尹会成[1] 郑琴[1] 金树泽[1] 

机构地区：[1]南京大学数学系,南京210093

出　　处：《数学学报（中文版）》2003年第2期351-360,共10页Acta Mathematica Sinica：Chinese Series

基　　金：数学天元基金资助项目;国家自然科学基金资助项目

摘　　要：对二维无旋可压缩Euler方程,当其初值是一个常态的小扰动时,我们证明 了ρ,ν的一阶导数在爆破时刻同时破裂,从而对无旋情形证明了Alinhac S.的猜测.For two dimensional irrotational compressible Euler equations with initial data that is a small perturbation from a constant state, we prove that the first order derivatives of ρ, v blow up at the blowup time while ρ, v remain continuous. In particular, in the irrotational case we prove Alinhac's S. conjecture.

关 键 词：二维无旋可压缩Euler方程 解 几何爆破 生命区间 交换子方法 Nash-Moser迭代 

分 类 号：O175.27[理学—数学]