A Polynomial Spectral Method for the Spatially Homogeneous Boltzmann Equation

SIAM Journal on Scientific Computing ◽

10.1137/17m1160240 ◽

2019 ◽

Vol 41 (1) ◽

pp. B27-B49 ◽

Author(s):

Gerhard Kitzler ◽

Joachim Schöberl

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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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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A New Stability and Convergence Proof of the Fourier--Galerkin Spectral Method for the Spatially Homogeneous Boltzmann Equation

SIAM Journal on Numerical Analysis ◽

10.1137/20m1351813 ◽

2021 ◽

Vol 59 (2) ◽

pp. 613-633

Author(s):

Jingwei Hu ◽

Kunlun Qi ◽

Tong Yang

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Stability And Convergence ◽

Homogeneous Boltzmann Equation ◽

Convergence Proof ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation ◽

Galerkin Spectral Method

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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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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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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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Spatially Homogeneous Boltzmann Equation for Relativistic Particles

SIAM Journal on Mathematical Analysis ◽

10.1137/130923531 ◽

2014 ◽

Vol 46 (1) ◽

pp. 917-938 ◽

Author(s):

Robert M. Strain ◽

Seok-Bae Yun

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation ◽

Relativistic Particles

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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 ◽

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

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Solutions of the spatially homogeneous Boltzmann equation with time-dependent Lorentz force term

Letters in Mathematical Physics ◽

10.1007/bf00420569 ◽

1985 ◽

Vol 10 (4) ◽

pp. 289-295

Author(s):

C. P. Gr�nfeld

Keyword(s):

Boltzmann Equation ◽

Lorentz Force ◽

Time Dependent ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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