TY - JOUR
T1 - Separation of solutions of quasilinear hyperbolic systems in the neighborhood of a large discontinuity
AU - Sever, Michael
PY - 1992/1/1
Y1 - 1992/1/1
N2 - We consider solutions of quasilinear hyperbolic systems of any dimension in one space variable. Locally, our solutions are differentiable except for a single jump discontinuity, either an entropy shock or a contact discontinuity, which may be of any strength. With some additional assumptions, we show that the map of the initial data into the solution at some later time is continuous in L1.
AB - We consider solutions of quasilinear hyperbolic systems of any dimension in one space variable. Locally, our solutions are differentiable except for a single jump discontinuity, either an entropy shock or a contact discontinuity, which may be of any strength. With some additional assumptions, we show that the map of the initial data into the solution at some later time is continuous in L1.
UR - http://www.scopus.com/inward/record.url?scp=0038317519&partnerID=8YFLogxK
U2 - 10.1080/03605309208820881
DO - 10.1080/03605309208820881
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AN - SCOPUS:0038317519
SN - 0360-5302
VL - 17
SP - 1165
EP - 1184
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
IS - 7-8
ER -