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Group Analysis of the One-Dimensional Boltzmann Equation: IV. Complete Group Classification in the General Case.
- Source :
-
Theoretical & Mathematical Physics . Nov2019, Vol. 201 Issue 2, p1614-1643. 30p. - Publication Year :
- 2019
-
Abstract
- We consider the one-dimensional Boltzmann equation f t + c f x + (F f) c = 0 with a function F depending on (t,x,c,f) and obtain the complete group classification of such equations in the class of point changes of whole set of variables (t,x,c,f). for this, we impose additional conditions on the transformations for the invariance of (a) the relations dx = c dt and d c = F d t , (b) the lines dt = dx = 0, and (c) the form f dx dc, which fix the physical meaning of the used variables and the relations between them. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00405779
- Volume :
- 201
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Theoretical & Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 140314665
- Full Text :
- https://doi.org/10.1134/S0040577919110072