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

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...

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Main Authors: Xu, F., Zhang, Xinguang, Wu, Yong Hong, Liu, Lishan
Format: Journal Article
Published: 2016
Online Access:http://hdl.handle.net/20.500.11937/20400
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author Xu, F.
Zhang, Xinguang
Wu, Yong Hong
Liu, Lishan
author_facet Xu, F.
Zhang, Xinguang
Wu, Yong Hong
Liu, Lishan
author_sort Xu, F.
building Curtin Institutional Repository
collection Online Access
description 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.
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T07:34:33Z
publishDate 2016
recordtype eprints
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spelling curtin-20.500.11937-204002017-09-13T13:49:37Z The optimal convergence rates for the multi-dimensional compressible viscoelastic flows Xu, F. Zhang, Xinguang Wu, Yong Hong Liu, Lishan 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. 2016 Journal Article http://hdl.handle.net/20.500.11937/20400 10.1002/zamm.201500095 restricted
spellingShingle Xu, F.
Zhang, Xinguang
Wu, Yong Hong
Liu, Lishan
The optimal convergence rates for the multi-dimensional compressible viscoelastic flows
title The optimal convergence rates for the multi-dimensional compressible viscoelastic flows
title_full The optimal convergence rates for the multi-dimensional compressible viscoelastic flows
title_fullStr The optimal convergence rates for the multi-dimensional compressible viscoelastic flows
title_full_unstemmed The optimal convergence rates for the multi-dimensional compressible viscoelastic flows
title_short The optimal convergence rates for the multi-dimensional compressible viscoelastic flows
title_sort optimal convergence rates for the multi-dimensional compressible viscoelastic flows
url http://hdl.handle.net/20.500.11937/20400