Blow-Up for a Semi-linear Advection-Diffusion System with Energy Conservation

被引：0
作者：
Dapeng DU Jing L School of Mathematical Sciences Fudan University Shanghai China Department of Mathematics Shanghai Maritime University Shanghai China [200433 ,200135 ]
机构：
来源：
ChineseAnnalsofMathematics | 2009年 / 30卷 / 04期
关键词：
Navier-Stokes equations; Self-similar singular solutions; Blow-up;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
The authors study radial solutions to a model equation for the Navier-Stokes equations. It is shown that the model equation has self-similar singular solution if 5 ≤ n ≤ 9. It is also shown that the solution will blow up if the initial data is radial, large enough and n ≥ 5.
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页码：433 / 446
页数：14
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