Mathematical Topics in Nonlinear Kinetic Theory

10.1142/0688 ◽  
1989 ◽  
Author(s):  
N Bellomo ◽  
A Palczewski ◽  
G Toscani
Keyword(s):  
Kinetic Theory ◽  
Nonlinear Kinetic

Nonlinear kinetic theory of a single helicity tearing instability

1984 ◽  
Vol 27 (8) ◽  
pp. 2043 ◽  
Author(s):  
K. Swartz ◽  
R. D. Hazeltine
Keyword(s):  
Kinetic Theory ◽  
Tearing Instability ◽  
Nonlinear Kinetic

Mathematical Topics in Nonlinear Kinetic Theory II

10.1142/1209 ◽  
1991 ◽  
Author(s):  
N Bellomo ◽  
M Lachowicz ◽  
J Polewczak ◽  
G Toscani
Keyword(s):  
Kinetic Theory ◽  
Nonlinear Kinetic

A NEW DISCRETIZED MODEL IN NONLINEAR KINETIC THEORY—THE SEMICONTINUOUS BOLTZMANN EQUATION

1991 ◽  
Vol 01 (01) ◽  
pp. 113-123 ◽  
Author(s):  
N. BELLOMO ◽  
E. LONGO
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Boltzmann Equation ◽  
Kinetic Theory ◽  
Continuous Dependence ◽  
Modeling And Analysis ◽  
Collision Invariants ◽  
The Mathematical Model ◽  
Nonlinear Kinetic ◽  
Discretized Model

This paper deals with the mathematical modeling and analysis of a new model of the Boltzmann equation with a finite number of velocity moduli, but with a continuous dependence on the velocity directions. The mathematical model is derived in the first part of the paper. Then the analysis of the equilibrium Maxwellian state is dealt with in the second part of the paper with the purpose of showing that the space of collision invariants is the correct one.

Nonlinear kinetic theory of the free-electron laser

1990 ◽  
Vol 42 (12) ◽  
pp. 7395-7400 ◽  
Author(s):  
R. Pratap ◽  
A. Sen
Keyword(s):  
Kinetic Theory ◽  
Free Electron ◽  
Free Electron Laser ◽  
Nonlinear Kinetic

Nonlinear Kinetic Theory and Mathematical Aspects of Hyperbolic Systems

10.1142/1756 ◽  
1992 ◽  
Author(s):  
Vinicio C Boffi ◽  
Franco Bampi ◽  
Giuseppe Toscani
Keyword(s):  
Kinetic Theory ◽  
Hyperbolic Systems ◽  
Nonlinear Kinetic
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