期刊论文

Yin, Haiyan

英文

Journal of Mathematical Physics

0022-2488

2012

53

10

103703

10.1063/1.4751283

Natural Science Foundation of China (The Youth Foundation)National Natural Science Foundation of China (NSFC) [10901068]; Ministry of Education of ChinaMinistry of Education, China [20100144110001]; China Scholarship CouncilChina Scholarship Council; Special Fund for Basic Scientific Research of Central Colleges [CCNU12A02008, CCNU12C01001]; National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11071093]

本校为第一且通讯机构

The aim of this paper is to study the global unique solvability on C-infinity-solution to the Cauchy problem of a special 2 x 2 nonlinear hyperbolic system with damping and diffusion. Furthermore, we also investigate the convergence rates as the diffusion parameter beta goes to zero. It is shown that the convergence rates in C-infinity-norm is of the order O(beta). The novelty of analysis taken in the present article is to obtain the uniform-in-beta a priori estimates on H-s-norm for any s is an element of N, which are implemented by introducing induction. We focus on two cases in this paper: ...