Convergence to equilibrium for linear spatially homogeneous Boltzmann equation with hard and soft potentials: A semigroup approach in L
                        1
-spaces

B. Lods; M. Mokhtar-Kharroubi

doi:10.1002/mma.4473

Convergence to equilibrium for linear spatially homogeneous Boltzmann equation with hard and soft potentials: A semigroup approach in L 1 -spaces

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4473 ◽

2017 ◽

Vol 40 (18) ◽

pp. 6527-6555 ◽

Cited By ~ 3

Author(s):

B. Lods ◽

M. Mokhtar-Kharroubi

Keyword(s):

Boltzmann Equation ◽

Convergence To Equilibrium ◽

Homogeneous Boltzmann Equation ◽

Semigroup Approach ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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 ◽

Cited By ~ 59

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

The Spatially Homogeneous Boltzmann Equation for Bose–Einstein Particles: Rate of Strong Convergence to Equilibrium

Journal of Statistical Physics ◽

10.1007/s10955-019-02258-8 ◽

2019 ◽

Vol 175 (2) ◽

pp. 289-350

Author(s):

Shuzhe Cai ◽

Xuguang Lu

Keyword(s):

Boltzmann Equation ◽

Strong Convergence ◽

Convergence To Equilibrium ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation ◽

Bose Einstein

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 ◽

Cited By ~ 10

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 ◽

Cited By ~ 1

Author(s):

V.A. Voronina

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially 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

Burnett spectral method for the spatially homogeneous Boltzmann equation

Computers & Fluids ◽

10.1016/j.compfluid.2020.104456 ◽

2020 ◽

Vol 200 ◽

pp. 104456 ◽

Cited By ~ 1

Author(s):

Zhenning Cai ◽

Yuwei Fan ◽

Yanli Wang

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

Download Full-text

Stochastic differential equation corresponding to the spatially homogeneous Boltzmann equation of Maxwellian and non-cutoff type

Stochastic Processes ◽

10.1142/9789812778550_0021 ◽

2002 ◽

pp. 292-310

Author(s):

Hiroshi TANAKA

Keyword(s):

Differential Equation ◽

Boltzmann Equation ◽

Stochastic Differential Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

Download Full-text

SOME PROBABILISTIC PROBLEMS IN THE SPATIALLY HOMOGENEOUS BOLTZMANN EQUATION

Stochastic Processes ◽

10.1142/9789812778550_0014 ◽

2002 ◽

pp. 172-181

Author(s):

Hiroshi Tanaka

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

Download Full-text

Spatially Homogeneous Boltzmann Equation for Relativistic Particles

SIAM Journal on Mathematical Analysis ◽

10.1137/130923531 ◽

2014 ◽

Vol 46 (1) ◽

pp. 917-938 ◽

Cited By ~ 4

Author(s):

Robert M. Strain ◽

Seok-Bae Yun

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation ◽

Relativistic Particles

Download Full-text

Deterministic solution of the spatially homogeneous Boltzmann equation using discontinuous Galerkin discretizations in the velocity space

Journal of Computational Physics ◽

10.1016/j.jcp.2014.03.031 ◽

2014 ◽

Vol 272 ◽

pp. 170-188 ◽

Cited By ~ 20

Author(s):

A. Alekseenko ◽

E. Josyula

Keyword(s):

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Velocity Space ◽

Homogeneous Boltzmann Equation ◽

Deterministic Solution ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

Download Full-text