The optimal convergence rates for the multi-dimensional compressible viscoelastic flows

Xu, F.; Zhang, Xinguang; Wu, Yong Hong; Liu, Lishan

doi:10.1002/zamm.201500095

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Authors

Xu, F.

Zhang, Xinguang

Wu, Yong Hong

Liu, Lishan

Date

2016

Type

Journal Article

Metadata

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Citation

Xu, F. and Zhang, X. and Wu, Y.H. and Liu, L. 2016. The optimal convergence rates for the multi-dimensional compressible viscoelastic flows. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 96 (12): pp. 1490-1504.

Source Title

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

DOI

10.1002/zamm.201500095

ISSN

0044-2267

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/20400

Collection

Curtin Research Publications

Abstract

In this paper, we are concerned with the multi-dimensional (N=3) compressible viscoelastic flows in the whole space. We prove the optimal convergence rates of strong solutions to the system for the initial data close to a stable equilibrium state in critical Besov spaces. Our main ideas are based on the low-high frequency decomposition and the smooth effect of dissipative operator.