n维带阻尼项的欧拉方程组球对称解的爆破  

Blowup for the Spherically Symmetric Solutions of n-dimensional Euler Equations with Damping

作　　者：朱旭生 赵康鑫 傅春燕 

机构地区：[1]华东交通大学理学院,江西南昌330013

出　　处：《厦门大学学报（自然科学版）》2017年第6期876-881,共6页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金(11161021;61262031;61472138;11561024)

摘　　要：研究n维空间中带阻尼项的非等熵可压缩欧拉方程组的初边值问题的球对称解的爆破.采用泛函方法,在几种关于初始加权动量的泛函足够大时分别得到了经典解在某一时刻前必定爆的结论,其中部分结论是在一般熵的条件下获得的.The blowup of spherically symmetric solutions for the initial-boundary value problem of the non-isentropic compressible Euler equation in the n-dimensional space is studied.We show by functional methods that the classical solutions will blow up prior to a certain time under the assumption that the functional associated with the initial weighted momentum is sufficiently large.Some of these conclusions are drawn under the condition of general entropy.

关 键 词：欧拉方程组 非等熵 阻尼 球对称解 爆破 泛函方法 

分 类 号：O175.27[理学—数学] O175.24[理学—基础数学]