Quadratic kinetic equations are linear in the tensor product space

It is shown that quadratic kinetic equations are linear in the tensor product space. The technique presented and applied to the Boltzmann equation renders quadratic operators linear and can be directly applied to equations having polynomial-type nonlinearities and describing the evolution of probabi...

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Veröffentlicht in:	Int. J. Theor. Phys.; (United States) 1988-10, Vol.27 (10), p.1277-1279
1. Verfasser:	GRZYBOWSKI, H. T
Format:	Artikel
Sprache:	eng
Schlagworte:	657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics BOLTZMANN EQUATION CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Classical statistical mechanics COMMUTATION RELATIONS CROSS SECTIONS DIFFERENTIAL CROSS SECTIONS DIFFERENTIAL EQUATIONS EQUATIONS Exact sciences and technology KINETIC EQUATIONS Kinetic theory MATHEMATICAL OPERATORS MATHEMATICAL SPACE PARTIAL DIFFERENTIAL EQUATIONS Physics PROBABILITY SCATTERING SPACE Statistical physics, thermodynamics, and nonlinear dynamical systems TENSORS
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Beschreibung
Zusammenfassung:	It is shown that quadratic kinetic equations are linear in the tensor product space. The technique presented and applied to the Boltzmann equation renders quadratic operators linear and can be directly applied to equations having polynomial-type nonlinearities and describing the evolution of probability density functions or distributions.
ISSN:	0020-7748 1572-9575
DOI:	10.1007/BF00670682