(华东交通大学理学院,江西 南昌 330013)

欧拉方程组; 非等熵; 阻尼; 球对称解; 爆破; 泛函方法

Blowup for the Spherically Symmetric Solutions of n-dimensional Euler Equations with Damping
ZHU Xusheng*,ZHAO Kangxin,FU Chunyan

(School of Science,East China Jiaotong University,Nanchang 330013,China)

DOI: 10.6043/j.issn.0438-0479.201701016



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.