Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains

Details Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains

2010-07-12

arxiv.org/abs/1007.1997v1

Communications in Mathematical Physics, Volume 308, Number 3, 641-701 (2011)

Mathematics

Analysis of PDEs

39 pages, 5 Figures

Scientific paper

10.1007/s00220-011-1355-1

The formation and propagation of singularities for Boltzmann equation in bounded domains has been an important question in numerical studies as well as in theoretical studies. Consider the nonlinear Boltzmann solution near Maxwellians under in-flow, diffuse, or bounce-back boundary conditions. We demonstrate that discontinuity is created at the non-convex part of the grazing boundary, then propagates only along the forward characteristics inside the domain before it hits on the boundary again.

Affiliated with

Also associated with

No associations

Rating

Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains 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 Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-350132