Results 41 to 50 of about 667 (82)

Uniqueness of solutions to Boltzmann Equations [PDF]

arXiv, 2020
By means of Banach fixed point theorem , the uniqueness of Boltzmann Equation generalizaled Solutions in Sobolev spaces in $L^1(\mathbb{R}^+\times \mathbb{R}^n\times \mathbb{R}^n)$, can be proved as well as Boltzmann Equation renormalized solutions ...
arxiv  

A Kac Model for Fermions [PDF]

, 2013
We introduce a stochastic $N$-particle system and show that, as $N\to \infty$, an effective description ruled by the homogeneous fermionic Uehling-Uhlenbeck equation is recovered. The particle model we consider is the same as the Kac model for the homogeneous Boltzmann equation with an additional exclusion constraint taking into account the Pauli ...
arxiv   +1 more source

The BGK equation as the limit of an $N$ particle system [PDF]

, 2020
The spatially homogeneous BGK equation is obtained as the limit if a model of a many particle system, similar to Mark Kac's charicature of the spatially homogeneous Boltzmann equation.
arxiv   +1 more source

Instability in a Vlasov-Fokker-Planck binary mixture

, 2018
This paper is concerned with a kinetic model of a Vlasov-Fokker-Planck system used to describe the evolution of two species of particles interacting through a potential and a thermal reservoir at given temperature.
Zhang, Zhu
core   +1 more source

Pointwise Behavior of the Linearized Boltzmann Equation on Torus [PDF]

, 2013
We study the pointwise behavior of the linearized Boltzmann equation on torus for non-smooth initial perturbation. The result reveals both the fluid and kinetic aspects of this model.
Wu, Kung-Chien
core  

A gradient flow approach to linear Boltzmann equations [PDF]

, 2017
We introduce a gradient flow formulation of linear Boltzmann equations. Under a diffusive scaling we derive a diffusion equation by using the machinery of gradient flows.
arxiv   +1 more source

On the non-Markovian Enskog Equation for Granular Gases

, 2013
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 sphere system with inelastic collisions described within the framework of
Borovchenkova, M. S., Gerasimenko, V. I.
core   +1 more source

Landau damping for the linearized Vlasov Poisson equation in a weakly collisional regime

, 2016
In this paper, we consider the linearized Vlasov-Poisson equation around an homogeneous Maxwellian equilibrium in a weakly collisional regime: there is a parameter $\eps$ in front of the collision operator which will tend to $0$.
Tristani, Isabelle
core   +2 more sources

The IDSA and the homogeneous sphere: Issues and possible improvements

, 2016
In this paper, we are concerned with the study of the Isotropic Diffusion Source Approximation (IDSA) (Baxter et al., Phys. Rev. E 73, 046118, 2006) of radiative transfer.
Michaud, Jérôme
core   +1 more source

Strichartz estimates for the kinetic transport equation [PDF]

arXiv, 2009
We prove Strichartz estimates for the kinetic transport equation. Our results extend considerably the known in the literature range of the Strichartz estimates for that equation.
arxiv