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Kac's Program in Kinetic Theory
Kac’s program kinetic theory master equation mean-field limit quantitative
2011/9/13
Abstract: This paper is devoted to the study of propagation of chaos and mean-field limit for systems of indistinguable particles undergoing collision processes, as formulated by M. Kac (1956) for a s...
Kinetic Theory and the Kac Master Equation
Kinetic Theory the Kac Master Equation Mathematical Physics
2011/8/31
Abstract: This article reviews recent work on the Kac master equation and its low dimensional counterpart, the Kac equation.
The Einstein-Vlasov System/Kinetic Theory
Einstein-Vlasov System Kinetic Theory General Relativity and Quantum Cosmology
2011/7/27
Abstract: The main purpose of this article is to provide a guide to theorems on global properties of solutions to the Einstein--Vlasov system. This system couples Einstein's equations to a kinetic mat...
New method of solving of boundary problems in kinetic theory
the Kramers problem reflection diffusion boundary conditions the Neumann series
2011/7/25
Abstract: The classical Kramers problem with specular -- diffuse boundary conditions of the kinetic theory is considered. On an example of Kramers problem the new method of the decision of the boundar...
Hamiltonian formulation of the effective kinetic theory for superfluid Fermi liquids
Hamiltonian formulation the effective kinetic theory
2010/12/27
We present in a local form the time dependent effective description of a superfluid Fermi liquid which includes Landau damping effects at $T\neq 0$. This is achieved by the introduction of an additio...
Hamiltonian formulation of the effective kinetic theory for superfluid Fermi liquids
Hamiltonian formulation effective kinetic theory superfluid Fermi liquids
2011/1/7
We present in a local form the time dependent effective description of a superfluid Fermi liquid which includes Landau damping effects at T 6= 0. This is achieved by the introduction of an additional ...
Hamiltonian formulation of the effective kinetic theory for superfluid Fermi liquids
Hamiltonian formulation effective kinetic theory superfluid Fermi liquids
2010/11/19
We present in a local form the time dependent effective description of a superfluid Fermi liquid which includes Landau damping effects at T 6= 0. This is achieved by the introduction of an additional ...
From the Kinetic Theory of Gases to Continuum Mechanics
Hydrodynamic limits, Kinetic models Boltzmann equation Entropy production Euler equations Navier-Stokes equations
2010/12/10
Recent results on the fluid dynamic limits of the Boltzmann equation based on the DiPerna-Lions theory of renormalized solutions are reviewed in this paper, with an emphasis on regimes where the veloc...
Spin kinetic theory - quantum kinetic theory in extended phase space
Spin kinetic phase space quantum kinetic
2010/3/10
The concept of phase space distribution functions and their evolution is used in the case of en enlarged phase space. In particular, we include the intrinsic spin of particles and present a quantum ki...
Dissipation and wave-ion interaction in the solar wind:Links between fluid and kinetic theory
wave-ion interaction solar wind Links between fluid and kinetic theory
2009/11/13
In this paper we establish links between turbulence dissipation and wave-particle interactions in the solar corona and wind. Based on quasilinear theory, a set of anisotropic, multi-component fluid eq...
Kinetic theory of non-hamiltonian statistical ensembles
non-Hamiltonian systems nonequilibrium statistical operator Zubarev formalism molecular dynamics
2014/9/24
A nonequilibrium statistical operator method is developed for ensembles of particles obeying non-Hamiltonian equations of motion in classical phase space. The main consequences of non-zero compressibi...