scholarly journals A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation

2015 ◽  
Vol 103 (3) ◽  
pp. 809-829 ◽  
Author(s):  
Yoshinori Morimoto ◽  
Shuaikun Wang ◽  
Tong Yang
Keyword(s):  
Boltzmann Equation ◽  
Global Regularity ◽  
Homogeneous Boltzmann Equation ◽  
Infinite Energy Solutions ◽  
Infinite Energy

scholarly journals Moment classification of infinite energy solutions to the homogeneous Boltzmann equation

2017 ◽  
Vol 15 (03) ◽  
pp. 391-411 ◽  
Author(s):  
Yoshinori Morimoto ◽  
Shuaikun Wang ◽  
Tong Yang
Keyword(s):  
Boltzmann Equation ◽  
Physical Space ◽  
Characteristic Functions ◽  
Moment Condition ◽  
Homogeneous Boltzmann Equation ◽  
Exact Moment ◽  
Moment Constraint ◽  
The Moment ◽  
Infinite Energy

In this paper, we will introduce a precise classification of characteristic functions in the Fourier space according to the moment constraint in the physical space of any order. Based on this, we construct measure-valued solutions to the homogeneous Boltzmann equation with the exact moment condition as the initial data.

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