Open Access
Translator Disclaimer
2012 Asymptotic Behavior of the 3D Compressible Euler Equations with Nonlinear Damping and Slip Boundary Condition
Huimin Yu
J. Appl. Math. 2012: 1-16 (2012). DOI: 10.1155/2012/584680

Abstract

The asymptotic behavior (as well as the global existence) of classical solutions to the 3D compressible Euler equations are considered. For polytropic perfect gas ( P ( ρ ) = P 0 ρ γ ) , time asymptotically, it has been proved by Pan and Zhao (2009) that linear damping and slip boundary effect make the density satisfying the porous medium equation and the momentum obeying the classical Darcy's law. In this paper, we use a more general method and extend this result to the 3D compressible Euler equations with nonlinear damping and a more general pressure term. Comparing with linear damping, nonlinear damping can be ignored under small initial data.

Citation

Download Citation

Huimin Yu. "Asymptotic Behavior of the 3D Compressible Euler Equations with Nonlinear Damping and Slip Boundary Condition." J. Appl. Math. 2012 1 - 16, 2012. https://doi.org/10.1155/2012/584680

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1244.76112
MathSciNet: MR2923363
Digital Object Identifier: 10.1155/2012/584680

Rights: Copyright © 2012 Hindawi

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.2012 • 2012
Back to Top