Nonlinear stability of shock fronts for a relaxation system in several space dimensions

[摘要] 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. (C) 1997 Academic Press.

[发布日期] 1997-09-20