摘要
通过对一维粘性多方可压缩理想气体Navier-Stokes方程解的自相似解及广义自相似解的讨论,在具有小初值而无衰减速度的大时间行为条件下,给出了前自相似解和后自相似解的形式,解决了其解在整体能量估计和局部能量估计下的爆破问题。
The paper discussed the self-similar solutions and generalized self-similar solutions to the Compressible Navier-Stokes Equations of 1 D viscous polytropic ideal gas under the conditions of small initial value large time behavior without decay rate, presented out the forms of forward self-similar solutions and backward self-similar solutions, and solved the problems of blowing up of solutions under total energy and local energy estimation.
出处
《西华大学学报(自然科学版)》
CAS
2010年第1期81-84,共4页
Journal of Xihua University:Natural Science Edition
基金
河南省基础与前沿技术研究计划项目(072300410480)
关键词
自相似解
局部能量估计
爆破
N-S方程
self-similar solution
local-energy estimation
blowing up
N-S equation