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

Kenji Nishihara; Weike Wang; Tong Yang

doi:10.1006/jdeq.1999.3703

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

Kenji Nishihara, Weike Wang, Tong Yang

Research output: Contribution to journal › Article › peer-review

106 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 L_p, 2≤p≤+∞, convergence rate of the solution, which is a perturbation of the nonlinear diffusion wave, to the hyperbolic system.

Original language	English
Pages (from-to)	191-218
Number of pages	28
Journal	Journal of Differential Equations
Volume	161
Issue number	1
DOIs	https://doi.org/10.1006/jdeq.1999.3703
Publication status	Published - 2000 Feb 10

Keywords

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

ASJC Scopus subject areas

Analysis

Access to Document

10.1006/jdeq.1999.3703

Cite this

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