厦门大学学报（自然科学版）2017，Vol.56Issue(6)：876-881,6.DOI:10.6043/j.issn.0438-0479.201701016
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
摘要
Abstract
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Key words
Euler equations/non-isentropic/damping/spherically symmetric solutions/blowup/functional methods分类
数理科学引用本文复制引用
朱旭生,赵康鑫,傅春燕..n维带阻尼项的欧拉方程组球对称解的爆破[J].厦门大学学报（自然科学版）,2017,56(6):876-881,6.基金项目
国家自然科学基金(11161021,61262031,61472138,11561024) （11161021,61262031,61472138,11561024）
