Spatially homogeneous solutions of the Vlasov-Nordstrom-Fokker-Planck system
Artikel i vetenskaplig tidskrift, 2014

The Vlasov-Nordstrom-Fokker-Planck system describes the evolution of self-gravitating matter experiencing collisions with a fixed background of particles in the framework of a relativistic scalar theory of gravitation. We study the spatially-homogeneous system and prove global existence and uniqueness of solutions for the corresponding initial value problem in three momentum dimensions. Additionally, we study the long time asymptotic behavior of the system and prove that even in the absence of friction, solutions possess a non-trivial asymptotic profile. An exact formula for the long time limit of the particle density is derived in the ultra-relativistic case.

Global existence

STEADY-STATES

EXISTENCE

EQUATION

Mathematics

Vlasov-Nordstrom

Spatially homogeneous

BEHAVIOR

Fokker-Planck equation

Ultra-

Författare

J. A. A. Felix

Universidad de Granada

Simone Calogero

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

S. Pankavich

Colorado School of Mines

Journal of Differential Equations

0022-0396 (ISSN) 1090-2732 (eISSN)

Vol. 257 3700-3729

Ämneskategorier

Matematik

DOI

10.1016/j.jde.2014.07.006