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Preprint 2010-003

2×2 Systems of Conservation Laws with L data

Stefano Bianchini, Rinaldo M. Colombo and Francesca Monti

Abstract: Consider a hyperbolic system of conservation laws with genuinely nonlinear characteristic fields. We extend the classical Glimm–Lax result proving the existence of solutions for L initial datum, relaxing the assumptions taken therein on the geometry of the shock–rarefaction curves.

Paper:
Available as PDF (255 Kbytes).
Author(s):
Stefano Bianchini
Rinaldo M. Colombo
Francesca Monti,
Submitted by:
; 2010-02-19.