Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow

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	Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow
	Zhang, Ying-hui ; Tan, Zhong ; Tan Z(谭忠)
刊名	http://dx.doi.org/10.1007/s10255-011-0115-5
	2011-10
关键词	WEAK SOLUTIONS HALF-SPACE EXISTENCE STABILITY FLUIDS
英文摘要	National Natural Science Foundation of China [10976026]; Hunan Provincial Natural Science Foundation of China [10JJ6013]; In this paper, we are concerned with the asymptotic behaviour of a weak solution to the Navier-Stokes equations for compressible barotropic flow in two space dimensions with the pressure function satisfying p(I +/-) = alpha I +/- log (d) (I +/-) for large I +/-. Here d > 2, a > 0. We introduce useful tools from the theory of Orlicz spaces and construct a suitable function which approximates the density for time going to infinity. Using properties of this function, we can prove the strong convergence of the density to its limit state. The behaviour of the velocity field and kinetic energy is also briefly discussed.
语种	英语
出版者	ACTA MATH APPL SIN-E
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91052]
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. Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow[J]. http://dx.doi.org/10.1007/s10255-011-0115-5,2011.
APA	Zhang, Ying-hui,Tan, Zhong,&谭忠.(2011).Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow.http://dx.doi.org/10.1007/s10255-011-0115-5.
MLA	Zhang, Ying-hui,et al."Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow".http://dx.doi.org/10.1007/s10255-011-0115-5 (2011).