Preprint 1999-044
Time-Periodic Solutions for a Scalar Conservation Law
S. Takeno
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.
- Paper:
- Available as PostScript.
- Author(s):
- S. Takeno,
<shige@iee.niit.ac.jp>
- Publishing information:
- To appear in Nonlinear Analysis.
- Comments:
-
- Submitted by:
-
<shige@iee.niit.ac.jp>
December 9 1999.
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Last modified: Thu Dec 9 14:21:49 1999