Spectral analysis of transport equations with bounce-back boundary conditions

Details Spectral analysis of transport equations with bounce-back boundary conditions Spectral analysis of transport equations with bounce-back boundary conditions

2008-06-05

arxiv.org/abs/0806.1035v1

Mathematics

Analysis of PDEs

Scientific paper

We investigate the spectral properties of the time-dependent linear transport equation with bounce-back boundary conditions. A fine analysis of the spectrum of the streaming operator is given and the explicit expression of the strongly continuous streaming semigroup is derived. Next, making use of a recent result from M. Sbihi \cite{Sbihi}, we prove, via a compactness argument, that the essential spectrum of the transport semigroup and that of the streaming semigroup coincide on all $L^p$-spaces with $1

Affiliated with

Also associated with

No associations

Rating

Spectral analysis of transport equations with bounce-back boundary conditions 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 Spectral analysis of transport equations with bounce-back boundary conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral analysis of transport equations with bounce-back boundary conditions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-128531