TY - JOUR
T1 - Well-posedness for a class of 2 × 2 conservation laws with L∞ data
AU - Baiti, Paolo
AU - Jenssen, Helge Kristian
PY - 1997/10/10
Y1 - 1997/10/10
N2 - The Cauchy problem for a special class of 2 × 2 systems of conservation laws with data in L1 ∩ L∞ is considered. In the strictly hyperbolic case we prove the existence of a weak solution which depends continuously on the initial data with respect to the L1-norm. This solution can be characterized in terms of a Kružkov-type entropy condition, which is introduced here.
AB - The Cauchy problem for a special class of 2 × 2 systems of conservation laws with data in L1 ∩ L∞ is considered. In the strictly hyperbolic case we prove the existence of a weak solution which depends continuously on the initial data with respect to the L1-norm. This solution can be characterized in terms of a Kružkov-type entropy condition, which is introduced here.
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U2 - 10.1006/jdeq.1997.3308
DO - 10.1006/jdeq.1997.3308
M3 - Article
AN - SCOPUS:0031563744
VL - 140
SP - 161
EP - 185
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 1
ER -