英文论文


文献类型
Journal article (JA)
题名
Global classical solutions of compressible isentropic Navier–Stokes equations with small density
作者
Si, Xin(1); Zhang, Jianwen(2); Zhao, Junning(2)
作者单位
(1) School of Applied Mathematics, Xiamen University of Technology, Xiamen; 361024, China; (2) School of Mathematical Sciences, Xiamen University, Xiamen; 361005, China
通讯作者地址
Email
ResearchID
ORCID
期刊名称
Nonlinear Analysis: Real World Applications
出版社
Elsevier Ltd
ISSN
1468-1218
出版信息
2018-08, 42:53-70.
JCR
2
影响因子
2.085
ISBN
基金
会议名称
会议地点
会议开始日期
会议结束日期
关键词
Nonlinear equations - Partial differential equations - Vacuum
摘要
This paper concerns the Cauchy problem of compressible isentropic Navier–Stokes equations in the whole space R3. First, we show that if ρ0∈Lγ∩H3, then the problem has a unique global classical solution on R3×[0,T] with any T∈(0,∞), provided the upper bound of the initial density is suitably small and the adiabatic exponent γ∈(1,6). If, in addition, the conservation law of the total mass is satisfied (i.e., ρ0∈L1), then the global existence theorem with small density holds for any γ>1. It is worth mentioning that the initial total energy can be arbitrarily large and the initial vacuum is allowed. Thus, the results obtained particularly extend the one due to Huang–Li–Xin (Huang et al., 2012), where the global well-posedness of classical solutions with small energy was proved. ? 2017 Elsevier Ltd
一级学科
WOS入藏号
EI收录号
20180204629722
DOI
10.1016/j.nonrwa.2017.12.005
ESI
MATHEMATICS
收录于
EI

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