搜索结果: 1-15 共查到“Boltzmann equation”相关记录23条 . 查询时间(0.083 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Well/ill-posedness bifurcation for the Boltzmann equation
玻尔兹曼方程 好/非适定 分岔
2023/4/17
We study the well/ill-posedness of the Boltzmann equation with dispersive methods. We take the constant collision kernel case as the 1st example. We construct a family of special solutions, which are ...
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 geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field
Processes in random environments Quantum field theory Coherent states Kinetic theory of gases
2011/8/25
Abstract: The linear Boltzmann equation is derived from a microscopic quantum model of a particle interacting, in the weak coupling limit, with a translation invariant and centered Gaussian random fie...
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...
Abstract: Difference Boltzmann Equation is derived in a plane wavelets representation with account of two-particle correlations. It is shown that the set of plane wavelet orthonormal functions is comp...
The Boltzmann equation and corresponding extremal problems
Boltzmann equation entropy energy density distance mo-ments global Maxwellian function
2011/7/26
The Boltzmann equation and corresponding extremal problems.
On deterministic approximation of the Boltzmann equation in a bounded domain
Boltzmann equation spectral methods asymptotic stability boundary values problem
2011/9/9
Abstract. In this paper we present a fully deterministic method for the numerical solution to the Boltzmann equation of rarefied gas dynamics in a bounded domain for multi-scale problems.Periodic, spe...
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.
The Quantum Boltzmann Equation in Semiconductor Physics
Nonequilibrium kinetics excitons,plasma Bose-Einstein condensation
2010/11/23
The quantum Boltzmann equation, or Fokker-Planck equation, has been used to successfully explain a number of experiments in semiconductor optics in the past two decades. This paper reviews some of the...
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...
Boltzmann Equation for Relativistic Neutral Scalar Field in Non-equilibrium Thermo Field Dynamics
Boltzmann Equation Relativistic Neutral Scalar Field
2010/12/22
A relativistic neutral scalar field is investigated on the basis of the Schwinger-Dyson equation in the non-equilibrium thermo field dynamics. A time evolution equation for a distribution function is...
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 ...