Sökning: onr:"swepub:oai:gup.ub.gu.se/205347" >
Spatially homogeneo...
Spatially homogeneous solutions of the Vlasov-Nordstrom-Fokker-Planck system
-
- Felix, J. A. A. (författare)
- Universidad de Granada
-
- Calogero, Simone, 1974 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
-
- Pankavich, S. (författare)
- Colorado School of Mines
-
(creator_code:org_t)
- Elsevier BV, 2014
- 2014
- Engelska.
-
Ingår i: Journal of Differential Equations. - : Elsevier BV. - 0022-0396 .- 1090-2732. ; 257:10, s. 3700-3729
- Relaterad länk:
-
https://doi.org/10.1...
-
visa fler...
-
http://dx.doi.org/10...
-
https://gup.ub.gu.se...
-
https://doi.org/10.1...
-
https://research.cha...
-
visa färre...
Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Vlasov-Nordstrom
- Fokker-Planck equation
- Spatially homogeneous
- Global existence
- Ultra-
- STEADY-STATES
- EXISTENCE
- BEHAVIOR
- EQUATION
- Mathematics
- Global existence
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas