EXISTENCE OF SOLUTIONS OF A BOUNDARY VALUE PROBLEM FOR THE FOUR VELOCITY BROADWELL MODEL

2021 ◽  
Vol 10 (11) ◽  
pp. 3409-3438
Author(s):  
A.E. Nicoué ◽  
A.S. d’Almeida
Keyword(s):  
Fluid Flow ◽  
Boundary Value Problem ◽  
Exact Solutions ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Two Dimensional ◽  
Accommodation Coefficients

Existence and boundedness is proved for the solutions of a boundary value problem for the two-dimensional Broadwell model in a rectangle. The influence of the orientation of the model in relation to the sides of the rectangle on the form of the boundary value problem is analysed. Exact solutions are found and use to determine accommodation coefficients at the boundaries of a fluid flow in a rectangular box.

scholarly journals Exact Steady Solutions for the Two Dimensional Broadwell Model

2019 ◽  
pp. 1-14
Author(s):  
Amah Séna D'Almeida ◽  
Kokou Anani Agosseme
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Boundary Value ◽  
Analytic Solutions ◽  
Two Dimensional ◽  
Exact Analytic Solutions ◽  
Accommodation Coefficients ◽  
Steady Solutions

Existence and boundedness of the solutions of the boundary value problem for the four velocity two dimensional Broadwell model for bounded boundary conditions is proved and exact analytic solutions are built. An application to the determination of the accommodation coefficients on the boundaries of a flow in a box is performed.

On the solution to a two-dimensional boundary value problem of heat conduction in a degenerating domain

2020 ◽  
Vol 98 (2) ◽  
pp. 100-109
Author(s):  
Minzilya T. Kosmakova ◽  
◽  
Valery G. Romanovski ◽  
Dana M. Akhmanova ◽  
Zhanar M. Tuleutaeva ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Two Dimensional ◽  
Dimensional Boundary

Existence of solutions for a second order boundary value problem with the Clarke subdifferential

Filomat ◽  
2017 ◽  
Vol 31 (9) ◽  
pp. 2763-2771 ◽  
Author(s):  
Dalila Azzam-Laouir ◽  
Samira Melit
Keyword(s):  
Boundary Value Problem ◽  
Differential Inclusion ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Clarke Subdifferential ◽  
Lipschitzian Function ◽  
The Clarke Subdifferential

In this paper, we prove a theorem on the existence of solutions for a second order differential inclusion governed by the Clarke subdifferential of a Lipschitzian function and by a mixed semicontinuous perturbation.

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