The Initial Value Problem of the Boltzmann Equation and Its Fluid Dynamical Limit at the Level of Compressible Euler Equation

1978 ◽  
pp. 29-57 ◽  
Author(s):  
Takaaki Nishida
Keyword(s):  
Boltzmann Equation ◽  
Euler Equation ◽  
Initial Value Problem ◽  
Compressible Euler Equation ◽  
Initial Value ◽  
The Boltzmann Equation ◽  
Compressible Euler

On the initial value problem for the Boltzmann equation with a force term

1989 ◽  
Vol 18 (1) ◽  
pp. 87-102 ◽  
Author(s):  
N. Bellomo ◽  
M. Lachowicz ◽  
A. Palczewski ◽  
G. Toscani
Keyword(s):  
Boltzmann Equation ◽  
Initial Value Problem ◽  
Force Term ◽  
Initial Value ◽  
The Boltzmann Equation

SOME MATHEMATICAL RESULTS ON THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS TO THE INITIAL VALUE PROBLEM FOR THE ENSKOG EQUATION

1989 ◽  
Vol 01 (02n03) ◽  
pp. 183-196
Author(s):  
N. BELLOMO ◽  
M. LACHOWICZ
Keyword(s):  
Boltzmann Equation ◽  
Asymptotic Behaviour ◽  
Knudsen Number ◽  
Initial Value Problem ◽  
Hydrodynamic Limit ◽  
Enskog Equation ◽  
Asymptotic Equivalence ◽  
Initial Value ◽  
The Boltzmann Equation

This paper deals with the analysis of some mathematical results on the asymptotic behaviour of the solutions to the initial value problem for the Enskog equation when the radius of the gas particles and the Knudsen number tend to zero, that is, respectively, analysis of the asymptotic equivalence with the Boltzmann equation and hydrodynamic limit.

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