29 citations · 176 across the 25 of their papers we have counts for
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3 papers · 1 filter
math-ph2013★ 5 cited
On Kinetic Equations Modeling Evolution of Systems in Mathematical Biology
Yu. Yu. Fedchun, V. I. Gerasimenko
We develop a rigorous formalism for the description of the kinetic evolution of interacting entities modeling systems in mathematical biology within the framework of the evolution…
math-ph2013★ 6 cited
Approaches to Derivation of the Boltzmann Equation with Hard Sphere Collisions
V. I. Gerasimenko
In the paper the possible approaches to the rigorous derivation of the Boltzmann kinetic equation with hard sphere collisions from underlying dynamics are considered. In particular…
math-ph2013★ 10 cited
On the non-Markovian Enskog Equation for Granular Gases
M. S. Borovchenkova, V. I. Gerasimenko
We develop a rigorous formalism for the description of the kinetic evolution of many-particle systems with the dissipative interaction. The relationships of the evolution of a hard…