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Stability of Fronts in Inhomogeneous Wave Equations

Derks, G (2014) Stability of Fronts in Inhomogeneous Wave Equations ACTA APPLICANDAE MATHEMATICAE, 137 (1). pp. 61-78.

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Abstract

This paper presents an introduction to the existence and stability of stationary fronts in wave equations with finite length spatial inhomogeneities. The main focus will be on wave equations with one or two inhomogeneities. It will be shown that the fronts come in families. The front solutions provide a parameterisation of the length of the inhomogeneities in terms of the local energy of the potential in the inhomogeneity. The stability of the fronts is determined by analysing (constrained) critical points of those length functions. Amongst others, it will shown that inhomogeneities can stabilise non-monotonic fronts. Furthermore it is demonstrated that bi-stability can occur in such systems.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Derks, GUNSPECIFIEDUNSPECIFIED
Date : 4 December 2014
Identification Number : 10.1007/s10440-014-9991-z
Uncontrolled Keywords : Science & Technology, Physical Sciences, Mathematics, Applied, Mathematics, Inhomogeneous wave equation, Pinned front, Stability, STANDING WAVES, JOSEPHSON-JUNCTIONS, FLUXON DYNAMICS, INSTABILITY, SOLITON, MODEL
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Additional Information : The final publication is available at Springer via http://dx.doi.org/10.1007/s10440-014-9991-z
Depositing User : Symplectic Elements
Date Deposited : 15 Jul 2015 14:34
Last Modified : 04 Dec 2015 02:08
URI: http://epubs.surrey.ac.uk/id/eprint/807878

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