The Boundedness of Propagation Speeds of Disturbances for Reaction-Diffusion Systems

Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality九州大学21世紀COEプログラム「機能数理学の構築と展開」Czech-Japanese Seminar in Applied Mathematics : August 4-7, 2004 : Faculty of Nuclear Sciences and Physical Engineering Czech Technical University in PragueThe aim of our study is to show that propagation speeds of disturbances are bounded for a class of reaction-diffusion systems. It turns out that solutions for various initial states are confined by traveling waves. Thanks to the operator-splitting methodology, which is originally meant for numerical computations, we can make a simple proof