RESONANT NONLINEAR GEOMETRIC OPTICS FOR WEAK SOLUTIONS OF CONSERVATION-LAWS

[摘要] The O(epsilon) part of solutions obtained via Glimm's scheme of strictly hyperbolic conservation laws with O(epsilon) periodic BV initial data is shown to tend as epsilon --> 0 to the unique entropy solution of the modulation equations of weakly nonlinear geometric optics derived by Majda and Rosales. (C) 1994 Academic Press, Inc.

[发布日期] 1994-10-15