ON A BOUNDARY VALUE PROBLEM FOR THE PLANE BROADWELL MODEL: EXACT SOLUTIONS AND NUMERICAL SIMULATION-Reference-Cited by-同舟云学术

ON A BOUNDARY VALUE PROBLEM FOR THE PLANE BROADWELL MODEL: EXACT SOLUTIONS AND NUMERICAL SIMULATION

Published:1995-05 Issue:03 Volume:05 Page:253-266
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BOBYLEV A.V.¹,GABETTA E.²,PARESCHI L.³

Affiliation:

1. Keldish Institute of Applied Mathematics, Academy of Sciences of Russia, Miusskaya Sq. 4, 125047 Moscow, Russia

2. Dipartimento di Matematica, Università di Pavia, Via Abbiategrasso 209, 27100 Pavia, Italy

3. Dipartimento di Matematica, Università di Bologna, P. zza di Porta S. Donato 5, 40127 Bologna, Italy

Abstract

The initial boundary value problem for the Broadwell model equations in a half infinite channel with an infinitely small hole is considered. It is proved that this boundary value problem has no unique solution for sufficiently large concentration of the gas. There are at least two different solutions, we have constructed them in explicit form. The existence of stationary solutions for the corresponding initial boundary value problem is then numerically investigated. The results indicate a unique asymptotic behavior of the model, very close to one of the two predicted stationary solutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202595000164

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