关于不可压、无粘流体的Euler方程初值问题的适定性(Ⅰ)  

On the Well Posedness of Initial Value Problem for Euler Equations of Incompressible Inviscid Fluid(Ⅰ)

作　　者：沈臻[1] 

机构地区：[1]上海大学理学院数学系,上海200436

出　　处：《应用数学和力学》2003年第5期484-492,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(19971054)

摘　　要：　以分层理论为基础,讨论了Euler方程不适定的初值问题以及不适定问题的形式可解性。The ill posed initial value problem of the Euler Equations and the formal solvability of ill posed problem based on stratification theory is discussed.For some ill posed initial value problems,the existence conditions of formal solutions and the methods of how to construct a formal solution are given.Finally,an example is given to discuss the ill posedness of the initial value problem on hyper plane{t=0}R4and explain that the problem has more than one solution.

关 键 词：EULER方程 不适定问题 形式解 末方程 

分 类 号：O175.29[理学—数学]