摘要
根据分层理论提供的基本方法,讨论Euler方程的初值问题的适定性,给出了方程的典型初边值问题适定性的判别条件,确定了Euler方程的局部(准确)解的解空间构造。
The well-posedness of the initial value problem of the Euler equations was mainly discussed based on the stratification theory, and the necessary and sufficient conditions of well-posedness are presented for some representative initial or boundary value problem, thus the structure of solution space for local (exact) solution of the Euler equations is determined.Moreover the computation formulas of the analytical solution of the well-posed problem are also given.
出处
《应用数学和力学》
EI
CSCD
北大核心
2005年第7期794-800,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(40175014)
上海市科委重点资助项目(02DJ14032)
关键词
EULER方程
初边值问题
适定性
分层理论
Euler equation
initial or boundary value problem
well-posedness
stratification theory
