Convergence rates to discrete shocks for nonconvex conservation laws
文献类型：期刊论文
| 作者 | Liu, HL; Wang, JH; Warnecke, G |
| 刊名 | NUMERISCHE MATHEMATIK
 |
| 出版日期 | 2001-05-01 |
| 卷号 | 88期号:3页码:513-541 |
| ISSN号 | 0029-599X |
| 英文摘要 | This paper is concerned with polynomial decay rates of perturbations to stationary discrete shocks for the Lax-Friedrichs scheme approximating non-convex scalar conservation laws, We assume that the discrete initial data tend to constant states as j --> +/- infinity, respectively, and that the Riemann problem for the corresponding hyperbolic equation admits a stationary shock wave. If the summation of the initial perturbation over (- infinity , j) is small and decays with an algebraic rate as /j/ --> infinity, then the perturbations to discrete shocks are shown to decay with the corresponding rate as n --> infinity. The proof is given by applying weighted energy estimates. A discrete weight function, which depends on the space-time variables for the decay rate and the state of the discrete shocks in order to treat the non-convexity, plays a crucial role. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000169026300005 |
| 出版者 | SPRINGER-VERLAG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16279]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, HL |
| 作者单位 | 1.Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 3.Univ Magdeburg, IAN, D-39016 Magdeburg, Germany |
| 推荐引用方式 GB/T 7714 | Liu, HL,Wang, JH,Warnecke, G. Convergence rates to discrete shocks for nonconvex conservation laws[J]. NUMERISCHE MATHEMATIK,2001,88(3):513-541. |
| APA | Liu, HL,Wang, JH,&Warnecke, G.(2001).Convergence rates to discrete shocks for nonconvex conservation laws.NUMERISCHE MATHEMATIK,88(3),513-541. |
| MLA | Liu, HL,et al."Convergence rates to discrete shocks for nonconvex conservation laws".NUMERISCHE MATHEMATIK 88.3(2001):513-541. |
入库方式： OAI收割
来源：数学与系统科学研究院
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