Preprint 1999-029

First Order Singular Perturbations of Quasilinear Nonconvex Type

Corrado Mascia


Abstract: In this paper we deal with the following singular perturbation problem: let $u^\e=u^\e(x,t)$ be the entropy solution of
\e(u_t+f(u)_x)=g(u), u(x,0)=u_0(x)
where $u_0$ is a given initial datum, the problem being to determine what happens to the family of solutions $u^\e$ as $\e\to 0^+$. By appropriate construction of traveling wave solution and by use of comparison principle, the limit is characterized in the case of a reaction term $g$ of bistable type, and for nonconvex flux $f$. This result generalize the previous one (for the convex case) proved by Fan, Jin and Teng (number 1998-37 in this server).

Paper:
Available as PostScript.
Author(s):
Corrado Mascia, <mascia@mat.uniroma1.it>
Publishing information:
Comments:
Submitted by:
<mascia@mat.uniroma1.it> September 30 1999.


[ 1996 | 1997 | 1998 | 1999 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Fri Oct 1 10:04:43 1999