5 citations · 45 across the 42 of their papers we have counts for
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Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases
Lev Sakhnovich
The notion of distance between a global Maxwellian function and an arbitrary solution (with the same total density at the fixed moment ) of Boltzmann equation is introdu…
The Boltzmann equation and corresponding extremal problems
Lev Sakhnovich
We start with some global Maxwellian function , which is a stationary solution (with the constant total density ) of the Boltzmann equation, and we denote the number of the c…
Laws of thermodynamics and game theory
Lev Sakhnovich
Using a game theory approach and a new extremal problem, Gibbs formula is proved in a most simple and general way for the classical mechanics case. A corresponding conjecture on th…
Algorithmic entropy, thermodynamics, and game interpretation
Lev Sakhnovich
Basic relations for the mean length and algorithmic entropy are obtained by solving a new extremal problem. Using this extremal problem, they are obtained in a most simple and gene…
Non-extensive statistical mechanics: Gibbs-type formula, existence and uniqueness of its solution
Lev Sakhnovich
Existence and uniqueness results for the solution of the Gibbs-type formula from non-extensive mechanics are derived rigorously. A new conditional extremal problem is proposed to g…