On the homogeneous Boltzmann equation with soft-potential collision kernels

Kinetic and Related Models ◽

10.3934/krm.2015.8.309 ◽

2015 ◽

Vol 8 (2) ◽

pp. 309-333

Author(s):

Yong-Kum Cho

Keyword(s):

Boltzmann Equation ◽

Soft Potential ◽

Homogeneous Boltzmann Equation ◽

Collision Kernels

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Gevrey regularity of solutions to the non-cutoff homogeneous Boltzmann equation for soft potential with strong singularity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.10.073 ◽

2016 ◽

Vol 435 (1) ◽

pp. 809-820

Author(s):

Shi-you Lin

Keyword(s):

Boltzmann Equation ◽

Regularity Of Solutions ◽

Gevrey Regularity ◽

Soft Potential ◽

Homogeneous Boltzmann Equation ◽

Strong Singularity

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A fast Fourier spectral method for the homogeneous Boltzmann equation with non-cutoff collision kernels

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109806 ◽

2020 ◽

Vol 423 ◽

pp. 109806

Author(s):

Jingwei Hu ◽

Kunlun Qi

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Fourier Spectral Method ◽

Homogeneous Boltzmann Equation ◽

Collision Kernels

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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

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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

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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

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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

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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

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Burnett spectral method for the spatially homogeneous Boltzmann equation

Computers & Fluids ◽

10.1016/j.compfluid.2020.104456 ◽

2020 ◽

Vol 200 ◽

pp. 104456 ◽

Author(s):

Zhenning Cai ◽

Yuwei Fan ◽

Yanli Wang

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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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

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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

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