Decay of the non-isentropic Navier-Stokes-Poisson equations | |
Tan, Zhong ; Zhang, Xu ; Tan Z(谭忠) | |
刊名 | http://dx.doi.org/10.1016/j.jmaa.2012.09.021
![]() |
2013 | |
关键词 | GLOBAL EXISTENCE SYSTEM |
英文摘要 | National Natural Science Foundation of China-NSAF [10976026]; We establish the time decay rates of the solution to the Cauchy problem for the non-isentropic compressible Navier-Stokes-Poisson system via a refined pure energy method. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained. As a corollary, we also obtain the usual L-P - L-2(1 < p <= 2) type of the optimal decay rates. The (H) over dot(-s)(0 <= s < 3/2) negative Sobolev norms are shown to be preserved along time evolution and enhance the decay rates. We use a family of scaled energy estimates with minimum derivative counts and interpolations among them without linear decay analysis. (C) 2012 Elsevier Inc. All rights reserved. |
语种 | 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/91297] ![]() |
专题 | 数学科学-已发表论文 |
推荐引用方式 GB/T 7714 | Tan, Zhong,Zhang, Xu,Tan Z. Decay of the non-isentropic Navier-Stokes-Poisson equations[J]. http://dx.doi.org/10.1016/j.jmaa.2012.09.021,2013. |
APA | Tan, Zhong,Zhang, Xu,&谭忠.(2013).Decay of the non-isentropic Navier-Stokes-Poisson equations.http://dx.doi.org/10.1016/j.jmaa.2012.09.021. |
MLA | Tan, Zhong,et al."Decay of the non-isentropic Navier-Stokes-Poisson equations".http://dx.doi.org/10.1016/j.jmaa.2012.09.021 (2013). |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论