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

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)191-218
Journal / PublicationJournal of Differential Equations
Volume161
Issue number1
Publication statusPublished - 10 Feb 2000

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. © 2000 Academic Press.

Research Area(s)

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

Citation Format(s)

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: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review