Large-time behaviour for the compressible Navier-Stokes equations with a non-autonomous external force and a heat source

Baowei Feng^a, Xin-guang Yang^b,*

ABSTRACT: In this paper, we study the global existence of solutions for the compressible Navier-Stokes equations with a non-autonomous external force and a heat source in H⁴. Under suitable assumptions, we obtain the large-time behaviour of solutions in H⁴.

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^a	College of Information Science and Technology, Donghua University, Shanghai 201620, China
^b	College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China

* Corresponding author, E-mail: yangxinguangyxg@yahoo.cn

Received 28 Nov 2012, Accepted 18 Jan 2013

Large-time behaviour for the compressible Navier-Stokes equations with a non-autonomous external force and a heat source

Baowei Fenga, Xin-guang Yangb,*

Baowei Feng^a, Xin-guang Yang^b,*