A recursive algorithm and a series expansion related to the homogeneous Boltzmann equation for hard potentials with angular cutoff

Kinetic and Related Models ◽

10.3934/krm.2019020 ◽

2019 ◽

Vol 12 (3) ◽

pp. 483-505

Author(s):

Nicolas Fournier ◽

Keyword(s):

Boltzmann Equation ◽

Series Expansion ◽

Recursive Algorithm ◽

Homogeneous Boltzmann Equation ◽

Hard Potentials

Download Full-text

On Exponential Moments of the Homogeneous Boltzmann Equation for Hard Potentials Without Cutoff

Communications in Mathematical Physics ◽

10.1007/s00220-021-04205-9 ◽

2021 ◽

Vol 387 (2) ◽

pp. 973-994

Author(s):

Nicolas Fournier

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Exponential Moments ◽

Hard Potentials

Download Full-text

Exponential Convergence to Equilibrium for the Homogeneous Boltzmann Equation for Hard Potentials Without Cut-Off

Journal of Statistical Physics ◽

10.1007/s10955-014-1066-z ◽

2014 ◽

Vol 157 (3) ◽

pp. 474-496 ◽

Author(s):

Isabelle Tristani

Keyword(s):

Boltzmann Equation ◽

Exponential Convergence ◽

Convergence To Equilibrium ◽

Homogeneous Boltzmann Equation ◽

Hard Potentials

Download Full-text

Rate of Convergence to Equilibrium for the Spatially Homogeneous Boltzmann Equation with Hard Potentials

Communications in Mathematical Physics ◽

10.1007/s00220-005-1455-x ◽

2005 ◽

Vol 261 (3) ◽

pp. 629-672 ◽

Author(s):

Clément Mouhot

Keyword(s):

Boltzmann Equation ◽

Rate Of Convergence ◽

Convergence To Equilibrium ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation ◽

Hard Potentials

Download Full-text

Exponential convergence for the linear homogeneous Boltzmann equation for hard potentials

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.07.050 ◽

2018 ◽

Vol 339 ◽

pp. 727-737

Author(s):

Baoyan Sun

Keyword(s):

Boltzmann Equation ◽

Exponential Convergence ◽

Homogeneous Boltzmann Equation ◽

Hard Potentials

Download Full-text

On Stability and Strong Convergence for the Spatially Homogeneous Boltzmann Equation for Fermi-Dirac Particles

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-003-0247-8 ◽

2003 ◽

Vol 168 (1) ◽

pp. 1-34 ◽

Author(s):

Xuguang Lu ◽

Bernt Wennberg

Keyword(s):

Boltzmann Equation ◽

Strong Convergence ◽

Homogeneous Boltzmann Equation ◽

Dirac Particles ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

Download Full-text

A method for constructing a solution of the spatially homogeneous boltzmann equation for a mixture of gases

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(88)90244-3 ◽

1988 ◽

Vol 28 (1) ◽

pp. 196-198 ◽

Author(s):

V.A. Voronina

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

Download Full-text

A Conservative Discontinuous Galerkin Solver for the Space Homogeneous Boltzmann Equation for Binary Interactions

SIAM Journal on Numerical Analysis ◽

10.1137/16m1104792 ◽

2018 ◽

Vol 56 (5) ◽

pp. 3040-3070 ◽

Author(s):

Chenglong Zhang ◽

Irene M. Gamba

Keyword(s):

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Homogeneous Boltzmann Equation

Download Full-text

Shubin Regularity for the Radially Symmetric Spatially Homogeneous Boltzmann Equation with Debye-Yukawa Potential

Acta Mathematica Scientia ◽

10.1007/s10473-019-0602-y ◽

2019 ◽

Vol 39 (6) ◽

pp. 1487-1507

Author(s):

Léo Glangetas ◽

Haoguang Li

Keyword(s):

Boltzmann Equation ◽

Yukawa Potential ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

Download Full-text

Global existence and decay of solutions for hard potentials to the fokker-planck-boltzmann equation without cut-off

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020135 ◽

2020 ◽

Vol 19 (6) ◽

pp. 3113-3136

Author(s):

Lvqiao Liu ◽

◽

Hao Wang

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

Decay Of Solutions ◽

Hard Potentials ◽

Download Full-text

Mathematical treatment of the homogeneous Boltzmann equation for Maxwellian molecules in the presence of singular kernels

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-014-0440-4 ◽

2014 ◽

Vol 194 (6) ◽

pp. 1707-1732

Author(s):

Emanuele Dolera

Keyword(s):

Boltzmann Equation ◽

Mathematical Treatment ◽

Homogeneous Boltzmann Equation ◽

Singular Kernels ◽

Maxwellian Molecules

Download Full-text