Decomposition and stability of multifronts and multipulses

Selle S (2009)
Bielefeld (Germany): Bielefeld University.

Download
OA
Bielefeld Dissertation | English
Author
Supervisor
Beyn, Wolf-Jürgen (Prof. Dr.)
Abstract
In der Arbeit werden zeitabhängige Reaktions-Diffusions-Systeme in einer Raumdimension betrachtet, welche Multipuls- oder Multifront-Lösungen besitzen. Es wird eine numerische Methode entwickelt, die die Lösung in ihre einzelnen Pulse oder Fronten zerlegt und zusätzlich die Geschwindigkeiten und die Positionen der einzelnen Pulse oder Fronten berechnet. Es wird gezeigt, dass die Methode numerisch gut anwendbar ist, und es wird weiter ein Stabiltätsresultat für Multipulse und Multifronten bewiesen, falls der Abstand zwischen den Pulsen oder Fronten immer hinreichend groß ist und sie nur leicht miteinander interagieren.

In this thesis we consider time dependent reaction diffusion systems in one space dimension that have multiple pulse or front solutions. We develop a new numerical method that decomposes the solutions into their single pulses or fronts and in addition one computes the speeds and the positions of the single pulses and fronts. We show that the method is numerically feasible and prove stability results for the multiple pulse and front solutions if the distance of the pulses or fronts is sufficiently large and they interact only through their small tails.
Year
PUB-ID

Cite this

Selle S. Decomposition and stability of multifronts and multipulses. Bielefeld (Germany): Bielefeld University; 2009.
Selle, S. (2009). Decomposition and stability of multifronts and multipulses. Bielefeld (Germany): Bielefeld University.
Selle, S. (2009). Decomposition and stability of multifronts and multipulses. Bielefeld (Germany): Bielefeld University.
Selle, S., 2009. Decomposition and stability of multifronts and multipulses, Bielefeld (Germany): Bielefeld University.
S. Selle, Decomposition and stability of multifronts and multipulses, Bielefeld (Germany): Bielefeld University, 2009.
Selle, S.: Decomposition and stability of multifronts and multipulses. Bielefeld University, Bielefeld (Germany) (2009).
Selle, Sabrina. Decomposition and stability of multifronts and multipulses. Bielefeld (Germany): Bielefeld University, 2009.
Main File(s)
Access Level
OA Open Access

This data publication is cited in the following publications:
This publication cites the following data publications:

Export

0 Marked Publications

Open Data PUB

Search this title in

Google Scholar