英文论文
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文献类型
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Journal article (JA)
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题名
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Global classical solutions of compressible isentropic Navier–Stokes equations with small density
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作者
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Si, Xin(1); Zhang, Jianwen(2); Zhao, Junning(2)
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作者单位
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(1) School of Applied Mathematics, Xiamen University of Technology, Xiamen; 361024, China; (2) School of Mathematical Sciences, Xiamen University, Xiamen; 361005, China
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通讯作者地址
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Email
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ResearchID
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ORCID
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期刊名称
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Nonlinear Analysis: Real World Applications
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出版社
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Elsevier Ltd
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ISSN
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1468-1218
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出版信息
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2018-08, 42:53-70.
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JCR
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2
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影响因子
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2.085
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ISBN
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基金
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会议名称
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会议地点
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会议开始日期
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会议结束日期
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关键词
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Nonlinear equations - Partial differential equations - Vacuum
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摘要
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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
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一级学科
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WOS入藏号
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EI收录号
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20180204629722
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DOI
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10.1016/j.nonrwa.2017.12.005
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ESI
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MATHEMATICS
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收录于
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EI
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