Global existence proof for relativistic Boltzmann equation

Journal Article · Sat Feb 01 04:00:00 EST 1992 · Journal of Statistical Physics; (United States)

DOI:https://doi.org/10.1007/BF01055712· OSTI ID:6967629

Dudynski, M ^[1]; Ekiel-Jezewska, M L ^[2]

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1. Inst. for Fundamental Technological Research, Warsaw (Poland)
2. Inst. for Theoretical Physics, Warsaw (Poland)

The existence and causality of solutions to the relativistic Boltzmann equation in L[sup 1] and in L[sub loc][sup 1] are proved. The solutions are shown to satisfy physically natural a priori bounds, time-independent in L[sup 1]. The results rely upon new techniques developed for the nonrelativistic Boltzmann equation by DiPerna and Lions.

• OSTI ID: 6967629
• Journal Information: Journal of Statistical Physics; (United States), Journal Name: Journal of Statistical Physics; (United States) Vol. 66:3-4; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
CALCULATION METHODS
CAUCHY PROBLEM
CAUSALITY
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ENERGY RANGE
EQUATIONS
GLOBAL ANALYSIS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
RELATIVISTIC RANGE