Preprint 1996043
Decay of Positive Waves in Nonlinear Systems of Conservation Laws
Alberto Bressan and Rinaldo M. Colombo
Abstract:
This paper is concerned with BV solutions to a system
of conservation laws in one space dimension:
$$
u_t+ \left[ f(u) \right]_x = 0
$$
Here $t \in [0,T]$ and $f \colon \Omega \mapsto {\bf R}^n$
is smooth, with $\Omega \subseteq {\bf R}^n$. We assume
that the system is strictly hyperbolic, and that each
characteristic field is either linearly degenerate or
genuinely nonlinear. Our aim is to derive a priori bounds
on the strength of positive waves of genuinely nonlinear
families, which extend the classical decay estimates of
Oleinik.
 Paper:
 Available as PostScript (3.8 Mbytes) or gzipped PostScript (720 Kbytes; uncompress
using gunzip)
 Title: Decay of Positive Waves in Nonlinear Systems of Conservation Laws

 Author(s):
 Alberto Bressan
<bressan@sissa.it>
 Rinaldo M. Colombo
<rinaldo@imiucca.csi.unimi.it>
 Publishing information:

 Comments:

 Submitted by:

<rinaldo@vmimat.mat.unimi.it>
December 9 1996.
[
1996 Preprints

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>
19961209 09:32:18 UTC