Preprint 1998-023

A Note on the Spreading of Characteristics for Nonconvex Conservation Laws

Abstract: We study the spreading of characteristics for a class of one-dimensional scalar conservation laws for which the flux function has exactly one point of inflection. It is well-known that the characteristic speed satisfies a one-sided Lipschitz estimate in the convex case. Using Dafermos' theory of generalized characteristics \cite{Dafermos85} we show that the characteristic speed in the nonconvex case satisfies a H\"{o}lder estimate at each fixed time.

Please note that an expanded version of this paper is available as preprint 2000-024.

Paper:

Available as PostScript.

Title:

A note on the spreading of characteristics for nonconvex conservation laws

Author(s):

Helge Kristan Jenssen , <helgekj@math.ntnu.no>

Publishing information:

Comments:

An expanded version of this paper is available as preprint 2000-024.

Submitted by:

<helgekj@math.ntnu.no> June 15 1998.