maxwellian molecules
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scholarly journals Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules

2020 ◽  
Vol 13 (5) ◽  
pp. 951-978
Author(s):  
Yoshinori Morimoto ◽  
◽  
Chao-Jiang Xu ◽  
◽  
Keyword(s):  
Landau Equation ◽  
Smoothing Effect ◽  
Analytic Smoothing Effect ◽  
Maxwellian Molecules

scholarly journals Gevrey Smoothing for Weak Solutions of the Fully Nonlinear Homogeneous Boltzmann and Kac Equations Without Cutoff for Maxwellian Molecules

2017 ◽  
Vol 225 (2) ◽  
pp. 601-661 ◽  
Author(s):  
Jean-Marie Barbaroux ◽  
Dirk Hundertmark ◽  
Tobias Ried ◽  
Semjon Vugalter
Keyword(s):  
Weak Solutions ◽  
Fully Nonlinear ◽  
Maxwellian Molecules

scholarly journals Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction

2017 ◽  
Vol 10 (4) ◽  
pp. 901-924 ◽  
Author(s):  
Jean-Marie Barbaroux ◽  
◽  
Dirk Hundertmark ◽  
Tobias Ried ◽  
Semjon Vugalter ◽  
...  
Keyword(s):  
Boltzmann Equation ◽  
Homogeneous Boltzmann Equation ◽  
Type Interaction ◽  
Maxwellian Molecules

scholarly journals The Landau equation for Maxwellian molecules and the Brownian motion on $SO_N(\mathbb{R})$

2015 ◽  
Vol 20 (0) ◽  
Author(s):  
François Delarue ◽  
Stéphane Menozzi ◽  
Eulalia Nualart
Keyword(s):  
Brownian Motion ◽  
Landau Equation ◽  
Maxwellian Molecules

scholarly journals SPATIALLY HOMOGENEOUS MAXWELLIAN MOLECULES IN A NEIGHBORHOOD OF THE EQUILIBRIUM

2014 ◽  
Author(s):  
Emanuele Dolera
Keyword(s):  
Boltzmann Equation ◽  
Exponential Convergence ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Homogeneous Boltzmann Equation ◽  
Long Time ◽  
Spatially Homogeneous ◽  
Maxwellian Molecules ◽  
Spatially Homogeneous Boltzmann Equation

This note deals with the long-time behavior of the solution to the spatially homogeneous Boltzmann equation for Maxwellian molecules, when the initial datum belongs to a suitable neighborhood of the Maxwellian equilibrium. In particular, it contains a quantification of the rate of exponential convergence, obtained by simple arguments.

On the high Mach number shock structure singularity caused by overreach of Maxwellian molecules

2014 ◽  
Vol 26 (5) ◽  
pp. 056102 ◽  
Author(s):  
R. S. Myong
Keyword(s):  
Mach Number ◽  
Shock Structure ◽  
High Mach Number ◽  
Maxwellian Molecules ◽  
High Mach
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