搜索结果: 1-14 共查到“数学 Boltzmann equation”相关记录14条 . 查询时间(0.109 秒)
The Boltzmann equation, Besov spaces, and optimal time decay rates in the whole space
Kinetic Theory Boltzmann equation long-range interaction non cutoff soft potentials hard potentials fractional derivatives
2012/6/6
We prove that $k$-th order derivatives of perturbative classical solutions to the hard and soft potential Boltzmann equation (without the angular cut-off assumption) in the whole space, $\threed_x$ wi...
Identification of the coefficients in the linear Boltzmann equation by a finite number of boundary measurements
inverse problem linear Boltzmann equation albedo operator boundary measurements
2011/9/6
Abstract: In this paper we consider an inverse problem for the time dependent linear Boltzmann equation. It concerns the identification of the coefficients via a finite number of measurements on the b...
A probabilistic view on the general relativistic Boltzmann equation
General relativity, Boltzmann equation, probability, Markov process
2011/8/24
Abstract: A new probalistic approach to general relativistic kinetic theory is proposed. The general relativistic Boltzmann equation is linked to a new Markov process in a completely intrinsic way. Th...
Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation without Angular Cutoff
Kinetic equations Boltzmann equation without angular cutoff Regularity
2011/2/25
In this paper, we establish optimal hypoelliptic estimates for a class of kinetic equations, which are linear models for the spatially inhomogeneous Boltzmann equation without angular cutoff.
Reduce and Solve Boltzmann Equation on a Global Lie Group
Reduce Solve Boltzmann Equation Global Lie Group
2011/1/21
A global solution of Boltzmann equation is proposed after introducing a three-dimensional closed Lie group to simplify the collision term.
Fast conservative and entropic numerical methods for the Boson Boltzmann equation
Boson Boltzmann equation condensation quadrature formulas fast algorithms
2010/12/6
In this paper we derive accurate numerical methods for the quantum Boltzmann equation for a gas of interacting bosons. The schemes preserve the main physical features of the continuous problem, namely...
Celebrating Cercignani's conjecture for the Boltzmann equation
Cercignani’s conjecture spectral gap Boltzmann equation relative entropy
2010/12/9
Cercignani’s conjecture assumes a linear inequality between the entropy and entropy production functionals for Boltzmann’s nonlinear integral operator in rarefied gas dynamics. Related to the field of...
Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation
Poisson-Boltzmann equation semi-linear partial differential equations
2010/12/14
We consider the design of an effective and reliable adaptive finite element method (AFEM) for the nonlinear Poisson-Boltzmann equation (PBE).We first examine the two-term regularization technique for ...
Hilbert Expansion from the Boltzmann equation to relativistic Fluids
Hilbert Expansion Boltzmann equation relativistic Fluids
2010/12/13
We study the local-in-time hydrodynamic limit of the relativistic Boltzmann equation using a Hilbert expansion. More speci cally, we prove the existence of local solutions to the relativistic Boltzman...
A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime
Numerical Scheme Quantum Boltzmann Equation Efficient
2010/12/8
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision term. A class of asymptotic preserving schemes
was introduced in ...
A Fubute Volume Method for the Multi Subband Boltzmann Equation with Realistic 2D Scattering in DG MOSFETs
Double gate MOSFET Multi subband Boltzmann transport equation 2D electron gas deterministic solver
2015/5/6
We propose a deterministic solver for the time-dependent multi-subband Boltzmann transport equation (MSBTE) for the two dimensional electron gas. The MSBTE consists of a set of Boltzmann transport equ...
In this work, we propose an efficient numerical method for computing
the electrostatic interaction between two like-charged spherical
particles which is governed by the nonlinear Poisson-Boltzmann
...
A Relaxation Scheme for Solving the Boltzmann Equation Based on the Chapman-Enskog Expansion
boltzmann equation chapman-Enskog expansion
2007/12/11
In [16] a visco-elastic relaxation system, called the relaxed Burnett system, was proposed by Jin and Slemrod as a moment approximation to the Boltzmann equation. The relaxed Burnett system is weakly ...
Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit
Spectral methods Boltzmann equation cut-off assumption Fokker-Planck-Landau equation
2010/12/14
In this paper we study the numerical passage from the spatially homogeneous Boltzmann equation without cut-off to the Fokker-Planck-Landau equation in the socalled grazing collision limit.