Stability of scalar radiative shock profiles

Mathematics – Analysis of PDEs

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

This work establishes nonlinear orbital asymptotic stability of scalar radiative shock profiles, namely, traveling wave solutions to the simplified model system of radiating gas \cite{Hm}, consisting of a scalar conservation law coupled with an elliptic equation for the radiation flux. The method is based on the derivation of pointwise Green function bounds and description of the linearized solution operator. A new feature in the present analysis is the construction of the resolvent kernel for the case of an eigenvalue system of equations of degenerate type. Nonlinear stability then follows in standard fashion by linear estimates derived from these pointwise bounds, combined with nonlinear-damping type energy estimates.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Stability of scalar radiative 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 Stability of scalar radiative shock profiles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of scalar radiative shock profiles will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-527859

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.