Volume no :30, Issue no: 1, November

ASYMPTOTIC STABILITY OF PLANAR STATIONARY WAVES FOR TWO DIMENSIONAL SCALAR VISCOUS LAW

Author's: Junan Zhao
Pages: [1] - [13]
Received Date: November 1, 2014
Submitted by:

Abstract

We investigate the asymptotic behaviours of the solutions to the initial-boundary value problem of scalar viscous conservation law in two space dimensions, with two boundaries. By virtue of an elementary energy method, both the global existence and asymptotic convergence toward the planar stationary waves are obtained for such an initial-boundary value problem.

Keywords

energy method, asymptotic behaviour, stability, decay rate.