Lie group analysis for a multispecies, spatially inhomogeneous, mutually interacting gas mixture

Autor:	Y. Y. Azmy, J. Mandrekas, V. C. Boffi, V. Protopopescu
Rok vydání:	1992
Předmět:	Spacetime Applied Mathematics Mathematical analysis General Physics and Astronomy Lie group Transportation Statistical and Nonlinear Physics Invariant (physics) Nonlinear system Statistical physics Scaling Mathematical Physics Analysis method Mathematics
Zdroj:	Transport Theory and Statistical Physics. 21:119-131
ISSN:	1532-2424 0041-1450
DOI:	10.1080/00411459208203525
Popis:	We consider systems of general nonlinear PDEs that arise in the extended kinetic theory of gases describing mixtures of spatially inhomogeneous, mutually interacting species. For general, autonomous, space-independent interaction laws, these systems are always invariant under the translation group. Via Lie group analysis methods, we show that for a Lotka-Volterra interaction law and three or more species, the system is invariant under a three-parameter group of transformations representing scaling, and translation in time and space. Moreover, the Lie group analysis shows that this is the only invariance group of the system.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a1815ddcd17b9604132e7501b7d13026 https://doi.org/10.1080/00411459208203525 Zobrazit plný text záznamu