TY - JOUR
T1 - L1 Stability of Conservation Laws with Coinciding Hugoniot and Characteristic Curves
AU - LIU, Tai-Ping
AU - YANG, Tong
PY - 1999/3
Y1 - 1999/3
N2 - Consider a system of hyperbolic conservation laws with the property that the Hugoniot curves and the characteristic curves are identical. We show that there exists a simple nonlinear functional, which yields the L1-well posedness of the Cauchy problem. The functional contains a Glimm functional and a nonlinear coupling functional. For the construction of the linear functional, we introduce scalar conservation laws, which yield particular solutions of the system.
AB - Consider a system of hyperbolic conservation laws with the property that the Hugoniot curves and the characteristic curves are identical. We show that there exists a simple nonlinear functional, which yields the L1-well posedness of the Cauchy problem. The functional contains a Glimm functional and a nonlinear coupling functional. For the construction of the linear functional, we introduce scalar conservation laws, which yield particular solutions of the system.
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U2 - 10.1512/iumj.1999.48.1601
DO - 10.1512/iumj.1999.48.1601
M3 - RGC 21 - Publication in refereed journal
SN - 0022-2518
VL - 48
SP - 237
EP - 247
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 1
ER -