Preprint 1998029
Structural Stability and Regularity of Entropy Solutions to Hyperbolic
Systems of Conservation Laws
Alberto Bressan and Philippe G. LeFloch
Abstract:
The paper is concerned with the qualitative structure of entropy solutions to
a strictly hyperbolic, genuinely nonlinear system of conservation laws. We
first give an accurate description of the local and global wavefront
structure of a BV solution, generated by a front tracking algorithm. We then
consider a sequence of exact or approximate solutions $u_\nu$, converging to a
solution $u$ in $\L^1$. The convergence of the wavefronts of $u_\nu$ to the
corresponding fronts of $u$ is studied, proving a structural stability result
in a neighborhood of each point in the $t$$x$ plane.
 Paper:
 Available as PostScript.
 Title:
 Structural stability and regularity of entropy solutions to hyperbolic
systems of conservation laws
 Author(s):
 Alberto Bressan,
<bressan@sissa.it>
 Philippe G. LeFloch
 Publishing information:

 Comments:

 Submitted by:

<wens@ifi.uio.no>
August 11 1998.
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