TY - JOUR
T1 - Nonlinear Stability of Shock Fronts for a Relaxation System in Several Space Dimensions
AU - Luo, Tao
AU - Xin, Zhouping
PY - 1997/9/20
Y1 - 1997/9/20
N2 - We study the nonlinear asymptotic stability of planar shock front for a class of relaxation systems which approximate scalar conservation laws in several space dimensions time asymptotically. It is shown that if the relaxation system satisfies the subcharacteristic condition, then a traveling wave solution connecting a weak entropy shock is asymptotically stable under small generic perturbations. © 1997 Academic Press.
AB - We study the nonlinear asymptotic stability of planar shock front for a class of relaxation systems which approximate scalar conservation laws in several space dimensions time asymptotically. It is shown that if the relaxation system satisfies the subcharacteristic condition, then a traveling wave solution connecting a weak entropy shock is asymptotically stable under small generic perturbations. © 1997 Academic Press.
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0001484887&origin=recordpage
U2 - 10.1006/jdeq.1997.3302
DO - 10.1006/jdeq.1997.3302
M3 - RGC 21 - Publication in refereed journal
SN - 0022-0396
VL - 139
SP - 365
EP - 408
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 2
ER -