Preprint 1996-043
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.
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