On the blow-up criterion of periodic solutions for micropolar equations in homogeneous Sobolev spaces
详细信息 查看全文
- 作者：Jens Lorenza ; Wilberclay G. Melob ; wilberclay@gmail.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Micropolar equations ; Blow-up rates for strong solutions ; Homogeneous Sobolev spaces
- 刊名：Nonlinear Analysis: Real World Applications
- 出版年：2016
- 出版时间：February 2016
- 年：2016
- 卷：27
- 期：Complete
- 页码：93-106
- 全文大小：709 K
文摘
We prove lower estimates for space periodic solutions 
of the micropolar equations in their maximal interval [0,T∗) provided that T∗<∞. For example, we show for 0<未<1 that 20ebeb4ed6f708e99a3be14c803bf3a"> is at least of the order (T∗−t)−(未s)/(1+2未) for s≥1/2+未. Moreover, we prove the inequality , which yields the blow-up rate (T∗−t)−s/3 for 20ebeb4ed6f708e99a3be14c803bf3a"> for e18bd66121" title="Click to view the MathML source">s>3/2.
of the micropolar equations in their maximal interval [0,T∗) provided that T∗<∞. For example, we show for 0<未<1 that 20ebeb4ed6f708e99a3be14c803bf3a"> is at least of the order (T∗−t)−(未s)/(1+2未) for s≥1/2+未. Moreover, we prove the inequality , which yields the blow-up rate (T∗−t)−s/3 for 20ebeb4ed6f708e99a3be14c803bf3a"> for e18bd66121" title="Click to view the MathML source">s>3/2.