Existence of quasilinear relaxation shock profiles

Details Existence of quasilinear relaxation shock profiles Existence of quasilinear relaxation shock profiles

2009-08-27

arxiv.org/abs/0908.4048v1

Mathematics

Analysis of PDEs

Scientific paper

We establish existence with sharp rates of decay and distance from the Chapman--Enskog approximation of small-amplitude quasilinear relaxation shocks in the general case that the profile ODE may become degenerate. Our method of analysis follows the general approach used by M\'etivier and Zumbrun in the semilinear case, based on Chapman--Enskog expansion and the macro--micro decomposition of Liu and Yu. In the quasilinear case, however, we find it necessary to apply a parameter-dependent Nash-Moser iteration to close the analysis, whereas, in the semilinear case, a simple contraction-mapping argument sufficed.

Affiliated with

Also associated with

No associations

Rating

Existence of quasilinear relaxation shock profiles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Existence of quasilinear relaxation shock profiles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence of quasilinear relaxation shock profiles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-411924