带阻尼项的三维等熵可压缩欧拉方程组轴对称解的爆破  

Blowup of the Axis-symmetric Solutions for the IBVP of the Compressible Isentropic Euler Equations with Damping

作　　者：朱旭生[1] 俞银晶[1] 李翠[1] 

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）》2014年第6期780-784,共5页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金(11161021;61262031);江西省高等学校科技落地计划项目(KJLD12067)

摘　　要：研究三维空间中带阻尼项的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,在几种关于初始速度的泛函足够大时,分别得到了经典解在某一时刻前必定爆破的结论.与无阻尼情形比较,阻尼的存在增加了经典解爆破的难度.In this paper we study the blowup of axis-symmetric solutions for the initial-boundary value problem of the compressible isentropic Euler equation in R3.We show by functional methods that classical solutions will blow up before a certain time under the assumption that the functional associated with the initial velocity is sufficiently large.Compared to the non-damping case,the damping increased the difficulty of the blowup of the classical solution.

关 键 词：等熵可压缩欧拉方程组 阻尼 球对称解 爆破 

分 类 号：O175.24[理学—数学] O175.27[理学—基础数学]