二维等熵可压欧拉方程古典解的存在性(英文)  

Local Existence of Classical Solution of the 2D Isentropic Compressible Euler Equations

作　　者：高真圣[1] 张培欣[1] 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《数学研究》2013年第3期221-232,共12页Journal of Mathematical Study

基　　金：Supported by the Fundamental Research Funds for the Central Universities(11QZR16 and 11QZR18);the Research Funds of Huaqiao University(12BS232)

摘　　要：研究二维等熵可压缩欧拉方程的古典解存在性.利用迭代技巧,得到解的局部存在性及唯一性,并且还证明了解在有限时间内爆破,即可压缩欧拉方程不存在全局古典解.In this paper, the authors study the local existence of classical solution of the 2D isentropic compressible Euler equation, by using the iterative approach, the local existence and uniqueness is obtained, and also proved that the solution blow up in finite time, that is, there is no global classical solution for compressible Euler equation.

关 键 词：欧拉方程 存在性 爆破准则 

分 类 号：O175[理学—数学]