[ 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | All | Home ]

Preprint 2006-020

Analytic Semigroup Generated by the Linearization of a Riemann–Dafermos Solution

Xiao-Biao Lin

Abstract: Dafermos regularization is a viscous regularization of hyperbolic conservation laws that preserves solutions of the form u=\hat u(X/T). A Riemann–Dafermos solution is a solution of the Dafermos regularization that is close to a Riemann solution of the conservation law. Using self-similar coordinate x=X/T, Riemann–Dafermos solutions become stationary. In a suitable Banach space, we show that the linear variational system around such solution is sectorial, thus generating an analytic semigroup.

Paper:
Available from the journal web page (see below).
Author(s):
Xiao-Biao Lin,
Publishing information:
Dynamics of PDE 1, No.2, 193–207 (2004)
Comments:
Submitted by:
; 2006-05-22.