Lp-convergence rate to nonlinear diffusion waves for p-system with damping

Kenji Nishihara, Weike Wang, Tong Yang

    Research output: Contribution to journalArticle

    77 Citations (Scopus)

    Abstract

    In this paper, we study the p-system with frictional damping and show that the solutions time-asymptotically tend to the nonlinear diffusion waves governed by the classical Darcy's law. By introducing an approximate Green function, we obtain the optimal Lp, 2≤p≤+∞, convergence rate of the solution, which is a perturbation of the nonlinear diffusion wave, to the hyperbolic system.

    Original languageEnglish
    Pages (from-to)191-218
    Number of pages28
    JournalJournal of Differential Equations
    Volume161
    Issue number1
    DOIs
    Publication statusPublished - 2000 Feb 10

    Fingerprint

    Nonlinear Diffusion
    Convergence Rate
    Damping
    Darcy's Law
    Hyperbolic Systems
    Green's function
    Rate of Convergence
    Tend
    Perturbation

    Keywords

    • Approximate Green function
    • L estimate
    • Nonlinear diffusion wave
    • P-system with damping

    ASJC Scopus subject areas

    • Analysis

    Cite this

    Lp-convergence rate to nonlinear diffusion waves for p-system with damping. / Nishihara, Kenji; Wang, Weike; Yang, Tong.

    In: Journal of Differential Equations, Vol. 161, No. 1, 10.02.2000, p. 191-218.

    Research output: Contribution to journalArticle

    Nishihara, Kenji ; Wang, Weike ; Yang, Tong. / Lp-convergence rate to nonlinear diffusion waves for p-system with damping. In: Journal of Differential Equations. 2000 ; Vol. 161, No. 1. pp. 191-218.
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