High magnetic field equilibria for the Fokker-Planck-Landau equation (Q305109)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: High magnetic field equilibria for the Fokker-Planck-Landau equation |
scientific article; zbMATH DE number 6620018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High magnetic field equilibria for the Fokker-Planck-Landau equation |
scientific article; zbMATH DE number 6620018 |
Statements
High magnetic field equilibria for the Fokker-Planck-Landau equation (English)
0 references
26 August 2016
0 references
finite Larmor radius approximation
0 references
Fokker-Planck-Landau equation
0 references
\(H\)-theorem
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0.8858475
0 references
0.88417417
0 references
0.8815149
0 references
0.88073266
0 references
0.8784832
0 references
0.87310195
0 references
0.8685713
0 references
0.86840403
0 references
The purpose of this paper is to study the Fokker-Planck-Landau equation under the action of strong magnetic fields.NEWLINENEWLINEThe first set of theorems are concerned with integral formulas for the averaged Fokker-Planck-Landau collision operator \(Q\).NEWLINENEWLINEThe second set of theorems are concerned with the characterization of the kernel for a certain differential operator. Then the fluid approximation when the collision mechanism dominates the transport is studied. Finally, the case when the density is close to the equilibrium is studied. The proofs use Fubini's theorem, the Maxwellian function, integration by parts, Larmor circles and a Hilbert space. In an appendix the rest of the proofs are given.
0 references
