scholarly journals Incompressible Euler Limit from Boltzmann Equation with Diffuse Boundary Condition for Analytic Data

Annals of PDE ◽  
2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Juhi Jang ◽  
Chanwoo Kim
Keyword(s):  
Boundary Condition ◽  
Boltzmann Equation ◽  
Diffuse Boundary ◽  
Incompressible Euler

Bifurcation on boundary data for linear broadwell model with conservative boundary condition

2014 ◽  
Vol 11 (03) ◽  
pp. 603-619 ◽  
Author(s):  
Shijin Deng ◽  
Weike Wang ◽  
Shih-Hsien Yu
Keyword(s):  
Boundary Condition ◽  
Boltzmann Equation ◽  
Kinetic Model ◽  
Boundary Data ◽  
Diffuse Boundary ◽  
The Boltzmann Equation ◽  
Simple Kinetic Model ◽  
Physical Boundary

We study a simple kinetic model with a conservative boundary condition which resembles the Maxwell diffuse boundary condition for the Boltzmann equation. We use a streamlined approach to construct the global pointwise structure of the full boundary data from the imposed boundary condition. Our estimates are strong enough to conclude the bifurcation in terms of the coefficients of the Broadwell model and the speed of the physical boundary.

scholarly journals Nonlinear stability of Broadwell model with Maxwell diffuse boundary condition

2013 ◽  
Vol 6 (4) ◽  
pp. 865-882 ◽  
Author(s):  
Shijin Deng ◽  
◽  
Linglong Du ◽  
Shih-Hsien Yu ◽  
Keyword(s):  
Boundary Condition ◽  
Nonlinear Stability ◽  
Diffuse Boundary
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