Advances in theory of evolution equations of many colliding particles

Autor:	Gerasimenko, V. I., Gapyak, I. V.
Rok vydání:	2023
Předmět:	Mathematical Physics Condensed Matter - Statistical Mechanics Mathematics - Analysis of PDEs 35C10 35Q20 82C05 82D05 70F45
Zdroj:	In: Modern Problems of Mathematics and its Applications. III. (Eds. V.I. Gerasimenko et al.), Kyiv: IM, 2023, 729-804. ISSN: 1815-2910. The book is dedicated to the 160th anniversary of the birth of academician D. O. Grave
Druh dokumentu:	Working Paper
DOI:	10.3842/trim.v20n1.528
Popis:	The review presents rigorous results of the theory of fundamental equations of evolution of many-particle systems with collisions and also considers their connection with nonlinear kinetic equations describing the collective behavior of particles in scaling approximations. This work is dedicated to the 160th anniversary of the birth of Dmytro Oleksandrovych Grave, the first academician of the Ukraine Academy of Sciences in mathematics and the founder of the Institute of Mathematics in 1920. Comment: 67 pages. arXiv admin note: text overlap with arXiv:2111.13940, arXiv:2307.02121, arXiv:2001.06786, arXiv:2012.03001
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.04143 Zobrazit plný text záznamu View this record from Arxiv