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pro vyhledávání: '"35Q20, 47J35"'
Autor:
Gerasimenko, V. I.
The chapter presents some new approaches to describing the collective behavior of complex systems of mathematical biology based on the evolution equations of observables such as open systems. This representation of kinetic evolution has looked to be
Externí odkaz:
http://arxiv.org/abs/2412.09137
Autor:
Gerasimenko, V. I.
Publikováno v:
In: Modern Problems of Mathematics and its Applications. I. (Eds. V.I. Gerasimenko et al.), Kyiv: IM, 2020, 82-112. ISSN: 1815-2910 The book is dedicated to the 100th anniversary of the Institute of Mathematics of NAS of Ukraine
The article provides an overview of some advances in the mathematical understanding of the nature of the kinetic equations of quantum systems of many particles. The fundamental equations of modern mathematical physics are studied, in particular, the
Externí odkaz:
http://arxiv.org/abs/2107.10872
Autor:
Gerasimenko, V. I.
Publikováno v:
Carpathian Math. Publ. 7 (1) (2015) 38-48
In the paper we consider the problem of the rigorous description of the kinetic evolution in the presence of initial correlations of quantum large particle systems. One of the developed approaches consists in the description of the evolution of quant
Externí odkaz:
http://arxiv.org/abs/1407.1633
Autor:
Gapyak, I. V., Gerasimenko, V. I.
Publikováno v:
Math. Bulletin Sh. Sci. Soc. 9 (2012) 23-43
The rigorous approach to the description of the kinetic evolution of a many-particle system composed of a trace hard sphere and an environment of finitely many hard spheres is developed. We prove that the evolution of states of a trace hard sphere in
Externí odkaz:
http://arxiv.org/abs/1208.1647