Hypocoercivity for a BGK model for gas mixtures

Liu, Liu; Pirner, Marlies

doi:10.1016/j.jde.2019.01.006

Title: Hypocoercivity for a BGK model for gas mixtures

Journal Article · 01 June 2019 · Journal of Differential Equations

DOI: https://doi.org/10.1016/j.jde.2019.01.006 · OSTI ID:1985207

Liu, Liu; Pirner, Marlies

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0016283

OSTI ID:: 1985207

Alternate ID(s):: OSTI ID: 1547854

Journal Information:: Journal of Differential Equations, Journal Name: Journal of Differential Equations Vol. 267 Journal Issue: 1; ISSN 0022-0396

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Derivation of a BGK model for mixtures Brull, Stéphane; Pavan, Vincent; Schneider, Jacques European Journal of Mechanics - B/Fluids, Vol. 33 https://doi.org/10.1016/j.euromechflu.2011.12.003	journal	May 2012
Accurate Asymptotic Preserving Boundary Conditions for Kinetic Equations on Cartesian Grids Bernard, Florian; Iollo, Angelo; Puppo, Gabriella Journal of Scientific Computing, Vol. 65, Issue 2 https://doi.org/10.1007/s10915-015-9984-8	journal	January 2015
Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling Liu, Liu Kinetic & Related Models, Vol. 11, Issue 5 https://doi.org/10.3934/krm.2018044	journal	January 2018
Model for Collision Processes in Gases: Small-Amplitude Oscillations of Charged Two-Component Systems Gross, E. P.; Krook, M. Physical Review, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRev.102.593	journal	May 1956
A Consistent BGK-Type Model for Gas Mixtures Andries, Pierre; Aoki, Kazuo; Perthame, Benoit Journal of Statistical Physics, Vol. 106, Issue 5/6, p. 993-1018 https://doi.org/10.1023/A:1014033703134	journal	January 2002
A study of Landau damping with random initial inputs Shu, Ruiwen; Jin, Shi Journal of Differential Equations, Vol. 266, Issue 4 https://doi.org/10.1016/j.jde.2018.08.016	journal	February 2019
The Gaussian-BGK model of Boltzmann equation with small Prandtl number Andries, Pierre; Le Tallec, Patrick; Perlat, Jean-Philippe European Journal of Mechanics - B/Fluids, Vol. 19, Issue 6 https://doi.org/10.1016/S0997-7546(00)01103-1	journal	November 2000
Kinetic/fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equation using particles Crestetto, Anaïs; Crouseilles, Nicolas; Lemou, Mohammed Kinetic & Related Models, Vol. 5, Issue 4 https://doi.org/10.3934/krm.2012.5.787	journal	January 2012
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A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems Bhatnagar, P. L.; Gross, E. P.; Krook, M. Physical Review, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRev.94.511	journal	May 1954
From the Boltzmann equation to the incompressible Navier–Stokes equations on the torus: A quantitative error estimate Briant, Marc Journal of Differential Equations, Vol. 259, Issue 11 https://doi.org/10.1016/j.jde.2015.07.022	journal	December 2015
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Hypocoercivity Based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs Liu, Liu; Jin, Shi Multiscale Modeling & Simulation, Vol. 16, Issue 3 https://doi.org/10.1137/17M1151730	journal	January 2018
On multi-dimensional hypocoercive BGK models Achleitner, Franz; Arnold, Anton Kinetic & Related Models, Vol. 11, Issue 4 https://doi.org/10.3934/krm.2018038	journal	January 2018
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