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Gerasimenko, Viktor Ivanovych

Statistics Math-Net.Ru
Total publications: 8
Scientific articles: 8

Number of views:
This page:1168
Abstract pages:1893
Full texts:729
References:251
Professor
Doctor of physico-mathematical sciences (1992)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 26.01.1954
E-mail:
Website: http://www.imath.kiev.ua/people/profile.php?pid=94&lang=en
Keywords: BBGKY hierarchy, kinetic equation, quantum-classical system.

Subject:

Mathematical physics; partial differential equations; statistical mechanics; kinetic theory; quantum theory.

   
Main publications:
  1. C. Cercignani, V.I. Gerasimenko and D.Ya. Petrina, Many-Particle Dynamics and Kinetic Equations., Mathematics and Its Applications, Kluwer Acad. Publ., Dordrecht, 1997
  2. V.I. Gerasimenko, P.V. Malyshev and D.Ya. Petrina, Mathematical Foundations of Classical Statistical Mechanics. Continuous Systems, Second ed., Advanced Studies in Contemporary Mathematics, Taylor and Francis Sci. Publ., London and N.Y., 2002
  3. V.I. Gerasimenko, “Hierarchies of Quantum Evolution Equations and Dynamics of Many-Particle Correlations.”, Statistical Mechanics and Random Walks: Principles, Processes and Applications, Mathematics Research Developments, Nova Science Publ., Inc., N.Y., 2012

http://www.mathnet.ru/eng/person22517
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/195572

Publications in Math-Net.Ru
1992
1. V. I. Gerasimenko, “Solutions of Bogolyubov equations for one-dimensional system of hard spheres”, TMF, 91:1 (1992),  120–128  mathnet  mathscinet; Theoret. and Math. Phys., 91:1 (1992), 410–417  isi
1990
2. D. Ya. Petrina, V. I. Gerasimenko, “Mathematical problems of statistical mechanics of a system of elastic balls”, Uspekhi Mat. Nauk, 45:3(273) (1990),  135–182  mathnet  mathscinet  zmath; Russian Math. Surveys, 45:3 (1990), 153–211  isi
3. V. I. Gerasimenko, D. Ya. Petrina, “Existence of the Boltzmann–Grad limit for an infinite system of hard spheres”, TMF, 83:1 (1990),  92–114  mathnet  mathscinet; Theoret. and Math. Phys., 83:1 (1990), 402–418  isi
1985
4. D. Ya. Petrina, V. I. Gerasimenko, “Thermodynamic limit of nonequilibrium states of a three-dimensional system of elastic spheres”, Dokl. Akad. Nauk SSSR, 282:1 (1985),  57–60  mathnet  mathscinet
5. V. I. Gerasimenko, D. Ya. Petrina, “Thermodynamic limit of nonequilibrium states of a three-dimensional system of elastic spheres”, TMF, 64:1 (1985),  130–149  mathnet  mathscinet; Theoret. and Math. Phys., 64:1 (1985), 734–747  isi
1983
6. D. Ya. Petrina, V. I. Gerasimenko, “A mathematical description of the evolution of the state of infinite systems of classical statistical mechanics”, Uspekhi Mat. Nauk, 38:5(233) (1983),  3–58  mathnet  mathscinet  zmath; Russian Math. Surveys, 38:5 (1983), 1–61  isi
1982
7. V. I. Gerasimenko, “Dynamical equations of quantum-classical systems”, TMF, 50:1 (1982),  77–87  mathnet  mathscinet; Theoret. and Math. Phys., 50:1 (1982), 49–55  isi
1980
8. V. I. Gerasimenko, D. Ya. Petrina, “Statistical mechanics of quantum-classical systems. Nonequilibrium systems”, TMF, 42:1 (1980),  88–100  mathnet  mathscinet; Theoret. and Math. Phys., 42:1 (1980), 58–66  isi

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