Asymptotic Stability of the Relativistic Boltzmann Equation for the Soft Potentials

Details Asymptotic Stability of the Relativistic Boltzmann Equation for the Soft Potentials Asymptotic Stability of the Relativistic Boltzmann Equation for the Soft Potentials

2010-03-25

arxiv.org/abs/1003.4893v1

Comm. Math. Phys. 300 (2010), no. 2, 529-597

Mathematics

Analysis of PDEs

64 pages

Scientific paper

10.1007/s00220-010-1129-1

In this paper it is shown that unique solutions to the relativistic Boltzmann equation exist for all time and decay with any polynomial rate towards their steady state relativistic Maxwellian provided that the initial data starts out sufficiently close in $L^\infty_\ell$. If the initial data are continuous then so is the corresponding solution. We work in the case of a spatially periodic box. Conditions on the collision kernel are generic in the sense of (Dudy{\'n}ski and Ekiel-Je{\.z}ewska, Comm. Math. Phys., 1988); this resolves the open question of global existence for the soft potentials.

Affiliated with

Also associated with

No associations

Rating

Asymptotic Stability of the Relativistic Boltzmann Equation for the Soft Potentials 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 Asymptotic Stability of the Relativistic Boltzmann Equation for the Soft Potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic Stability of the Relativistic Boltzmann Equation for the Soft Potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556459