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On a Class of Kinetic Equations for Particles with Discrete Velocities
Author(s) -
Crell Bernd
Publication year - 1990
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19905020506
Subject(s) - class (philosophy) , quadratic equation , nonlinear system , property (philosophy) , kinetic energy , conservation law , homogeneous , space (punctuation) , physics , mathematical analysis , classical mechanics , master equation , mathematics , statistical physics , computer science , quantum mechanics , geometry , artificial intelligence , operating system , philosophy , epistemology , quantum
We investigate a class of kinetic equations with quadratic nonlinearity describing particles with discrete velocities, distinguished by the existence of some linear conservation quantities and the property that in the homogeneous case every solution (in the state space) is also a solution of a certain master equation. Examples will be discussed.