Results 21 to 30 of about 277,672 (285)

Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules [PDF]

, 2015
It has long been suspected that the non-cutoff Boltzmann operator has similar coercivity properties as a fractional Laplacian. This has led to the hope that the homogenous Boltzmann equation enjoys similar regularity properties as the heat equation with ...
Barbaroux, Jean-Marie, Hundertmark, Dirk, Ried, Tobias, Vugalter, Semjon   +3 more
core   +3 more sources

The halo Boltzmann equation [PDF]

Journal of Cosmology and Astroparticle Physics, 2016
23 pages, 3 figures, comments are welcome, v2 matches published version in ...
Biagetti Matteo, Desjacques Vincent, Kehagias Alex, Racco Davide, Riotto Antonio   +4 more
openaire   +2 more sources

Variational nodal methods for neutron transport: 40 years in review

Nuclear Engineering and Technology, 2022
The variational nodal method for solving the neutron transport equation has evolved over 40 years. Based on a functional form of the Boltzmann neutron transport equation, the method now comprises a complete set of variants that can be employed for ...
Tengfei Zhang, Zhipeng Li
doaj   +1 more source

The Quantum Statistical Mechanical Theory of Transport Processes [PDF]

Iranian Journal of Chemistry & Chemical Engineering, 1993
A new derivation of the quantum Boltzmann transport equation for the Fermion system from the quantum time evolution equation for the wigner distribution function is presented.
Ali Maghari, Hassan Behnejad
doaj  

Acoustic Limit for the Boltzmann equation in Optimal Scaling [PDF]

, 2009
Based on a recent $L^{2}{-}L^{\infty}$ framework, we establish the acoustic limit of the Boltzmann equation for general collision kernels. The scaling of the fluctuations with respect to Knudsen number is optimal.
Guo, Yan, Jang, Juhi, Jiang, Ning
core   +2 more sources

Flavored quantum Boltzmann equations [PDF]

Physical Review D, 2010
41 pages, 7 figures.
Cirigliano, Vincenzo, Lee, Christopher, Ramsey-Musolf, Michael J., Tulin, Sean   +3 more
openaire   +3 more sources

The Boltzmann equation and Cosmic Microwave Background

Revista de Investigación de Física, 2023
Observations on the anisotropies of the Cosmic Microwave Background (CMB) have become a fundamental tool in Cosmology. We present a brief description of the mformalism necessary to understand the evolution of the anisotropies, and how their power ...
Mississippi Valenzuela
doaj   +1 more source

On discrete models of Boltzmann-type kinetic equations

Современная математика: Фундаментальные направления
The known nonlinear kinetic equations, in particular, the wave kinetic equation and the quantum Nordheim–Uehling–Uhlenbeck equations are considered as a natural generalization of the classical spatially homogeneous Boltzmann equation.
A. V. Bobylev
doaj   +1 more source

Discretization of the velocity space in solution of the Boltzmann equation

, 1997
We point out an equivalence between the discrete velocity method of solving the Boltzmann equation, of which the lattice Boltzmann equation method is a special example, and the approximations to the Boltzmann equation by a Hermite polynomial expansion ...
A. H. Stroud, G. A. Bird, H. Chen, H. Grad, H. Grad, H. Grad, J. E. Broadwell, N. Cao, P. L. Bhatnagar, S. Chapman, S. Wolfram, T. Abe, T. P. Armstrong, U. Frisch, X. He, X. Shan, Xiaowen Shan, Xiaoyi He, Y. H. Qian   +18 more
core   +2 more sources

Volumetric Lattice Boltzmann Models in General Curvilinear Coordinates: Theoretical Formulation

Frontiers in Applied Mathematics and Statistics, 2021
A theoretical formulation of lattice Boltzmann models on a general curvilinear coordinate system is presented. It is based on a volumetric representation so that mass and momentum are exactly conserved as in the conventional lattice Boltzmann on a ...
Hudong Chen
doaj   +1 more source