BLOW-UP OF SMOOTH SOLUTIONS TO THE NAVIER-STOKES EQUATIONS OF COMPRESSIBLE VISCOUS HEAT-CONDUCTING FLUIDS

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	BLOW-UP OF SMOOTH SOLUTIONS TO THE NAVIER-STOKES EQUATIONS OF COMPRESSIBLE VISCOUS HEAT-CONDUCTING FLUIDS
	Tan, Zhong ; Wang, Yanjin ; Tan Z(谭忠) ; Wang YJ(王焰金)
刊名	http://dx.doi.org/10.1017/S144678871000008X
	2010-04
英文摘要	National Science Foundation of China [10531020]; National Natural Science Foundation of China-NSAF [10976026]; We give a simpler and refined proof of some blow-up results of smooth solutions to the Cauchy problem for the Navier-Stokes equations of compressible, viscous and heat-conducting fluids in arbitrary space dimensions. Our main results reveal that smooth solutions with compactly supported initial density will blow up in finite time, and that if the initial density decays at infinity in space, then there is no global solution for which the velocity decays as the reciprocal of the elapsed time.
语种	英语
出版者	J AUST MATH SOC
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91044]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Tan, Zhong,Wang, Yanjin,Tan Z,et al. BLOW-UP OF SMOOTH SOLUTIONS TO THE NAVIER-STOKES EQUATIONS OF COMPRESSIBLE VISCOUS HEAT-CONDUCTING FLUIDS[J]. http://dx.doi.org/10.1017/S144678871000008X,2010.
APA	Tan, Zhong,Wang, Yanjin,谭忠,&王焰金.(2010).BLOW-UP OF SMOOTH SOLUTIONS TO THE NAVIER-STOKES EQUATIONS OF COMPRESSIBLE VISCOUS HEAT-CONDUCTING FLUIDS.http://dx.doi.org/10.1017/S144678871000008X.
MLA	Tan, Zhong,et al."BLOW-UP OF SMOOTH SOLUTIONS TO THE NAVIER-STOKES EQUATIONS OF COMPRESSIBLE VISCOUS HEAT-CONDUCTING FLUIDS".http://dx.doi.org/10.1017/S144678871000008X (2010).