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.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
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