Blow-up of smooth solutions to the compressible fluid models of Korteweg type

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	Blow-up of smooth solutions to the compressible fluid models of Korteweg type
	Zhang, Ying Hui ; Tan, Zhong ; Tan Z(谭忠)
刊名	http://dx.doi.org/10.1007/s10114-012-9042-5
	2012-03
英文摘要	National Natural Science Foundation of China-NSAF [10976026]; We show the blow-up of smooth solutions to a non-isothermal model of capillary compressible fluids in arbitrary space dimensions with initial density of compact support. This is an extension of Xin's result [Xin, Z.: Blow-up of smooth solutions to the compressible Navier-Stokes equations with compact density. Comm. Pure Appl. Math., 51, 229-240 (1998)] to the capillary case but we do not need the condition that the entropy is bounded below. Moreover, from the proof of Theorem 1.2, we also obtain the exact relationship between the size of support of the initial density and the life span of the solutions. We also present a sufficient condition on the blow-up of smooth solutions to the compressible fluid models of Korteweg type when the initial density is positive but has a decay at infinity.
语种	英语
出版者	ACTA MATH SIN
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/90946]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Zhang, Ying Hui,Tan, Zhong,Tan Z. Blow-up of smooth solutions to the compressible fluid models of Korteweg type[J]. http://dx.doi.org/10.1007/s10114-012-9042-5,2012.
APA	Zhang, Ying Hui,Tan, Zhong,&谭忠.(2012).Blow-up of smooth solutions to the compressible fluid models of Korteweg type.http://dx.doi.org/10.1007/s10114-012-9042-5.
MLA	Zhang, Ying Hui,et al."Blow-up of smooth solutions to the compressible fluid models of Korteweg type".http://dx.doi.org/10.1007/s10114-012-9042-5 (2012).