scholarly journals Infinite energy solutions to the homogeneous Boltzmann equation

2009 ◽  
pp. NA-NA ◽  
Author(s):  
Marco Cannone ◽  
Grzegorz Karch
Keyword(s):  
Boltzmann Equation ◽  
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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