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Research articles

ScienceAsia (): 194-203 |doi: 10.2306/scienceasia1513-1874...194


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


Baowei Fenga, Xin-guang Yangb,*

 
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

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Received 28 Nov 2012, Accepted 18 Jan 2013