Group Analysis of the One-Dimensional Boltzmann Equation: III. Condition for the Moment Quantities to Be Physically Meaningful

2018 ◽  
Vol 195 (3) ◽  
pp. 886-915 ◽  
Author(s):  
K. S. Platonova ◽  
A. V. Borovskikh
Keyword(s):  
Boltzmann Equation ◽  
Group Analysis ◽  
One Dimensional ◽  
The Moment ◽  
The One

scholarly journals Asymptotic boundedness and moment asymptotic expansion in ultradistribution spaces

2020 ◽  
pp. 21-21 ◽  
Author(s):  
Lenny Neyt ◽  
Jasson Vindas
Keyword(s):  
Asymptotic Expansion ◽  
Asymptotic Formula ◽  
Dimensional Case ◽  
One Dimensional ◽  
Full Characterization ◽  
The Moment ◽  
The One ◽  
Structural Theorems

We obtain structural theorems for the so-called S-asymptotic and quasiasymptotic boundedness of ultradistributions. Using these results, we then analyze the moment asymptotic expansion (MAE), providing a full characterization of those ultradistributions satisfying this asymptotic formula in the one-dimensional case. We also introduce and study a uniform variant of the MAE.

Sign in / Sign up

Export Citation Format

Share Document