Preprint 2001-047
On Maximal and Minimal Generalized Entropy Solutions to Cauchy Problem for
a First-Order Quasilinear Equation
E.Yu.Panov
Abstract:
We prove existence of maximal and minimal generalized entropy
solutions (g.e.s.) of the Cauchy problem for a first-order
quasilinear equation in the case of only continuous flux
vector and give some usefull applications. In particular
we establish uniqueness of g.e.s. for input data which are
peroidic with respect to some linear independent $n-1$
spatial vectors ($n$ is number of spatial variables).
- Paper:
- Available as PostScript (248 Mbytes) or
gzipped PostScript (67 Kbytes; uncompress
using gunzip).
- Author(s):
- E.Yu.Panov,
<pey@novsu.ac.ru>
- Publishing information:
- Prepublished in Laboratoire de mathematiques de
Besancon. 2000. No. 2000/26
- Comments:
-
- Submitted by:
-
<pey@novsu.ac.ru>
November 16 2001.
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Last modified: Mon Nov 19 13:18:35 MET 2001