A Proof Of The Compactness Of The K Operator For The Two Species Vlasov-Maxwell-Boltzmann Equations

Posted on:2019-09-17

Degree:Master

Type:Thesis

Country:China

Candidate:Z M Li

Full Text:PDF

GTID:2370330566494290

Subject:Basic mathematics

Abstract/Summary:

PDF Full Text Request

This paper mainly investigates the application of compact operators to the Vlasov-Maxwell-Boltzmann equations.By using the definition of compact operators,we prove a compactness result of the linear Boltzmann operator of a two species model with different mass and charge.

Keywords/Search Tags:

compact operator, Maxwell distribution, Boltzmann collision operator, Vlasov-Maxwell-Boltzmann equations

PDF Full Text Request

Related items

1	Global Wellposedness Of The Vlasov-Maxwell-Boltzmann System In The Perturbative Framework And Related Problems
2	A Lattice Boltzmann Model For Maxwell Equations
3	Stability Of The Relativistic Vlasov-Maxwell-Boltzmann System For Short Range Interaction
4	The Calculation Of The Boltzmann Bilinear Operator For Maxwellian Molecules Of Gas-Mixture
5	On the Hamiltonian structure of the linearized Maxwell-Vlasov system
6	Spectral Theory Of Maxwell Operators With Non-decaying Potentals
7	The classical limit of the relativistic Vlasov-Maxwell system in two space dimensions
8	Global Existence And Long Time Behavior Of Anisotropic Solutions Of The Boltzmann Equation For Bosons
9	The Study Of Lattice Boltzmann Method For Electromagnetic Waves
10	Incompressible Navier-Stokes-Fourier-Poisson Limit From The Vlasov-Poisson-Boltzmann Equation:Classical Solutions