LARGE-TIME BEHAVIOR OF DISCRETE KINETIC EQUATIONS WITH NON-SYMMETRIC INTERACTIONS-Reference-Cited by-同舟云学术

LARGE-TIME BEHAVIOR OF DISCRETE KINETIC EQUATIONS WITH NON-SYMMETRIC INTERACTIONS

Published:2002-11 Issue:11 Volume:12 Page:1555-1564
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

ARNOLD ANTON¹,CARRILLO JOSE A.²,TIDRIRI MOULAY D.³

Affiliation:

1. Institut für Numerische und instrumentelle Mathematik, Universität Münster, 48149 Münster, Germany

2. Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain

3. Department of Mathematics, Iowa State University, Ames, IA 50011-2064, USA

Abstract

We consider the initial-boundary value problem for general linear discrete velocity models appearing in kinetic theory. With time-independent inflow boundary data we prove the existence of a unique steady state and the exponential convergence in time towards the steady state. The proof is based on the construction of suitable multiplyers used in a weighted L2-norm.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202502002239

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