TY - JOUR
T1 - Structural Stability and Regularity of Entropy Solutions to Hyperbolic Systems of Conservation Laws
AU - Bressan, Alberto
AU - Lefloch, Philippe G.
PY - 1999
Y1 - 1999
N2 - 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 uν, converging to a solution u in L1. The convergence of the wave-fronts of uν to the corresponding fronts of u is studied, proving a structural stability result in a neighborhood of each point in the t-x plane.
AB - 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 uν, converging to a solution u in L1. The convergence of the wave-fronts of uν to the corresponding fronts of u is studied, proving a structural stability result in a neighborhood of each point in the t-x plane.
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U2 - 10.1512/iumj.1999.48.1524
DO - 10.1512/iumj.1999.48.1524
M3 - Article
AN - SCOPUS:0013330827
SN - 0022-2518
VL - 48
SP - 43
EP - 84
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 1
ER -