Application of group analysis to the spatially homogeneous and isotropic Boltzmann equation with source using its Fourier image

Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.06.047 ◽

2015 ◽

Vol 20 (3) ◽

pp. 719-730 ◽

Cited By ~ 9

Author(s):

A. Suriyawichitseranee ◽

Yu.N. Grigoriev ◽

S.V. Meleshko

Keyword(s):

Fourier Transform ◽

Boltzmann Equation ◽

Source Term ◽

Group Analysis ◽

Spatially Homogeneous ◽

The Fourier Transform

Group analysis and exact solutions of the spatially homogeneous and isotropic Boltzmann equation with a source term

10.1063/1.5125084 ◽

2019 ◽

Author(s):

A. Suriyawichitseranee ◽

Yu. N. Grigoriev ◽

Sergey V. Meleshko

Keyword(s):

Boltzmann Equation ◽

Exact Solutions ◽

Source Term ◽

Group Analysis ◽

Spatially Homogeneous

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 ◽

Dirac Particles ◽

Spatially Homogeneous ◽

Group analysis of the one-dimensional Boltzmann equation. Invariants and the problem of moment system closure

Theoretical and Mathematical Physics ◽

10.1134/s0040577921090014 ◽

2021 ◽

Vol 208 (3) ◽

pp. 1165-1181

Author(s):

K. S. Platonova ◽

A. V. Borovskih

Keyword(s):

Boltzmann Equation ◽

Group Analysis ◽

One Dimensional ◽

Moment System ◽

The One

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 ◽

Spatially Homogeneous ◽

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 ◽

Spatially Homogeneous ◽

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 ◽

Spatially Homogeneous ◽

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 ◽

Spatially Homogeneous ◽

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 ◽

Spatially Homogeneous ◽

Solutions of the Boltzmann Equation for the Spatially Homogeneous Mixture of Maxwellian Gases

Communications in Theoretical Physics ◽

10.1088/0253-6102/6/1/17 ◽

1986 ◽

Vol 6 (1) ◽

pp. 17-28 ◽

Cited By ~ 2

Author(s):

Lu Yan-nan ◽

Xiong Yin-tao

Keyword(s):

Boltzmann Equation ◽

Homogeneous Mixture ◽

The Boltzmann Equation ◽

Spatially Homogeneous