CONVERGENCE RATES TO NONLINEAR DIFFUSIVE WAVES FOR SOLUTIONS TO NONLINEAR HYPERBOLIC SYSTEM

doi:10.1007/s10473-019-0105-x

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (1): 46-56.doi: 10.1007/s10473-019-0105-x

CONVERGENCE RATES TO NONLINEAR DIFFUSIVE WAVES FOR SOLUTIONS TO NONLINEAR HYPERBOLIC SYSTEM

耿世锋, 唐炎娟

School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

收稿日期:2017-12-05 修回日期:2018-07-13 出版日期:2019-02-25 发布日期:2019-03-13
通讯作者: Shifeng GENG E-mail:sfgeng@xtu.edu.cn
作者简介:Yanjuan TANG,2393908820@qq.com
基金资助:
The first author was supported by the National Natural Science Foundation of China (11701489, 11871412), the Hunan Provincial Natural Science Foundation of China (2018JJ2373, 2018JJ3481).

CONVERGENCE RATES TO NONLINEAR DIFFUSIVE WAVES FOR SOLUTIONS TO NONLINEAR HYPERBOLIC SYSTEM

Shifeng GENG, Yanjuan TANG

School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

Received:2017-12-05 Revised:2018-07-13 Online:2019-02-25 Published:2019-03-13
Contact: Shifeng GENG E-mail:sfgeng@xtu.edu.cn
Supported by:
The first author was supported by the National Natural Science Foundation of China (11701489, 11871412), the Hunan Provincial Natural Science Foundation of China (2018JJ2373, 2018JJ3481).

摘要/Abstract

摘要： This article is involved with the asymptotic behavior of solutions for nonlinear hyperbolic system with external friction. The global existence of classical solutions is proven, and L^p convergence rates are obtained. Compared with the results obtained by Hsiao and Liu, better convergence rates are obtained in this article.

关键词: convergence rates, nonlinear diffusion waves, nonlinear hyperbolic system, external friction

Abstract: This article is involved with the asymptotic behavior of solutions for nonlinear hyperbolic system with external friction. The global existence of classical solutions is proven, and L^p convergence rates are obtained. Compared with the results obtained by Hsiao and Liu, better convergence rates are obtained in this article.

Key words: convergence rates, nonlinear diffusion waves, nonlinear hyperbolic system, external friction

耿世锋, 唐炎娟. CONVERGENCE RATES TO NONLINEAR DIFFUSIVE WAVES FOR SOLUTIONS TO NONLINEAR HYPERBOLIC SYSTEM[J]. 数学物理学报(英文版), 2019, 39(1): 46-56.

Shifeng GENG, Yanjuan TANG. CONVERGENCE RATES TO NONLINEAR DIFFUSIVE WAVES FOR SOLUTIONS TO NONLINEAR HYPERBOLIC SYSTEM[J]. Acta mathematica scientia,Series B, 2019, 39(1): 46-56.

参考文献

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CONVERGENCE RATES TO NONLINEAR DIFFUSIVE WAVES FOR SOLUTIONS TO NONLINEAR HYPERBOLIC SYSTEM

CONVERGENCE RATES TO NONLINEAR DIFFUSIVE WAVES FOR SOLUTIONS TO NONLINEAR HYPERBOLIC SYSTEM

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