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Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic system with boundary effects
Hsiao, L; Li, HL
2001-10-01
Source PublicationMATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN0218-2025
Volume11Issue:7Pages:1143-1168
AbstractThis paper is to study the asymptotic behavior of solutions for an initial-boundary value problem to Jin-Xin's 2 x 2 relaxation hyperbolic system. When the initial data are small perturbation of the superposition of two travelling waves at t = 0, subsequent to the previous work's we further show the convergence rates of the IBVP solutions to the superposition of two waves. Precisely, when the initial perturbations decay in the exponential or algebraic forms, we prove that the corresponding solutions tend to the superposition of two waves time-asymptotically in the exponential or algebraic forms, respectively. The method adopted is the weighted energy method. The use of a shift function for the forward travelling wave and the special choice of shift functions for backward travelling plays a key role to overcome the difficulties caused by the boundary and degeneration.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000171603600002
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16289
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
2.SISSA, I-34014 Trieste, Italy
3.Vienna Tech Univ, Inst Angew & Numer Math, A-1040 Vienna, Austria
Recommended Citation
GB/T 7714
Hsiao, L,Li, HL. Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic system with boundary effects[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2001,11(7):1143-1168.
APA Hsiao, L,&Li, HL.(2001).Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic system with boundary effects.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,11(7),1143-1168.
MLA Hsiao, L,et al."Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic system with boundary effects".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 11.7(2001):1143-1168.
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