TY - JOUR
T1 - A Contractive Metric for Systems of Conservation Laws with Coinciding Shock and Rarefaction Curves
AU - Bressan, A.
PY - 1993/12
Y1 - 1993/12
N2 - We introduce two algorithms for the construction of weak, entropy-admissible solutions to a class of systems of conservation laws with coinciding shock and rarefaction curves. Global existence, uniqueness, and continuous dependence are proved for all solutions obtained by our constructive procedure. The generated semigroup is contractive with respect to a Riemann-type metric, defined in terms of Glimm′s wave interaction functional, equivalent to the usual L1 distance.
AB - We introduce two algorithms for the construction of weak, entropy-admissible solutions to a class of systems of conservation laws with coinciding shock and rarefaction curves. Global existence, uniqueness, and continuous dependence are proved for all solutions obtained by our constructive procedure. The generated semigroup is contractive with respect to a Riemann-type metric, defined in terms of Glimm′s wave interaction functional, equivalent to the usual L1 distance.
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U2 - 10.1006/jdeq.1993.1111
DO - 10.1006/jdeq.1993.1111
M3 - Article
AN - SCOPUS:38249001189
SN - 0022-0396
VL - 106
SP - 332
EP - 366
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 2
ER -