Structural Stability and Regularity of Entropy Solutions to Hyperbolic
Systems of Conservation Laws
Alberto Bressan and Philippe G. LeFloch
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 wave-front
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 wave-fronts 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.
- Available as PostScript.
- Structural stability and regularity of entropy solutions to hyperbolic
systems of conservation laws
- Alberto Bressan,
- Philippe G. LeFloch
- Publishing information:
- Submitted by:
August 11 1998.
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