Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases

Details Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases

2011-11-09

arxiv.org/abs/1111.3306v1

Physics

Mathematical Physics

arXiv admin note: substantial text overlap with arXiv:1106.3254

Scientific paper

The notion of distance between a global Maxwellian function and an arbitrary solution $f$ (with the same total density $\rho$ at the fixed moment $t$) of Boltzmann equation is introduced. In this way we essentially generalize the important Kullback-Leibler distance, which was used before. Namely, we generalize it for the spatially inhomogeneous case. An extremal problem to find a solution of the Boltzmann equation, such that $\dist\{M,f\}$ is minimal in the class of solutions with the fixed values of energy and of $n$ moments, is solved. The cases of the classical and quantum (for Fermi and Bose particles) Boltzmann equations are studied and compared. The asymptotics and stability of solutions of the Boltzmann equations are also considered.

Affiliated with

Also associated with

No associations

Rating

Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases 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 Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-43473