scholarly journals Sharp regularity and Cauchy problem of the spatially homogeneous Boltzmann equation with Debye–Yukawa potential

2016 ◽  
Vol 444 (2) ◽  
pp. 1438-1461 ◽  
Author(s):  
Léo Glangetas ◽  
Hao-Guang Li
Keyword(s):  
Cauchy Problem ◽  
Boltzmann Equation ◽  
Yukawa Potential ◽  
Homogeneous Boltzmann Equation ◽  
Spatially Homogeneous ◽  
Spatially Homogeneous Boltzmann Equation

scholarly journals Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong Singularity

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Shi-you Lin
Keyword(s):  
Cauchy Problem ◽  
Boltzmann Equation ◽  
Gevrey Regularity ◽  
Homogeneous Boltzmann Equation ◽  
Strong Singularity ◽  
The Cauchy Problem ◽  
Spatially Homogeneous ◽  
Spatially Homogeneous Boltzmann Equation

The Cauchy problem of the nonlinear spatially homogeneous Boltzmann equation without angular cutoff is studied. By using analytic techniques, one proves the Gevrey regularity of theC∞solutions in non-Maxwellian and strong singularity cases.

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