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Time-Periodic Solutions for a Scalar Conservation Law

Shigeharu Takeno

Department of Information and Electronics Engineering,
Niigata Institute of Technology
Kashiwazaki, Niigata, 945-1195, JAPAN
(E-mail: shige@iee.niit.ac.jp)

Abstract: We consider the existence of time periodic solutions for a nonlinear hyperbolic scalar conservation law with a time periodic outer force. The uniform asymptotic behavior of the Lax--Friedrichs difference approximation gives fixed points of the Poincare map and the convergence of the approximate periodic solution made from such fixed points is proved by the compensated compactness theory.

Keywords: time periodic solution, conservation law, periodic outer force, compensated compactness, Lax-Friedrichs difference scheme, Brouwer's fixed point theorem.




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Next: 1 Introduction
Shigeharu TAKENO
15 January 2002