caa a22 4500 606166475 CHVBK 20210128100658.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10440-014-9991-z doi (NATIONALLICENCE)springer-10.1007/s10440-014-9991-z Derks Gianne Department of Mathematics, University of Surrey, GU2 7XH, Guildford, Surrey, UK aut Stability of Fronts in Inhomogeneous Wave Equations [Elektronische Daten] [Gianne Derks] 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. Springer Science+Business Media Dordrecht, 2014 Inhomogeneous wave equation nationallicence Pinned front nationallicence Stability nationallicence Acta Applicandae Mathematicae Springer Netherlands 137/1(2015-06-01), 61-78 0167-8019 137:1<61 2015 137 10440 https://doi.org/10.1007/s10440-014-9991-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9991-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Derks Gianne Department of Mathematics, University of Surrey, GU2 7XH, Guildford, Surrey, UK aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 137/1(2015-06-01), 61-78 0167-8019 137:1<61 2015 137 10440