We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Spectrum of the linear water model for a two-layer liquid with cuspidal geometries at the interface.
- Authors
Martin, J.; Nazarov, S.A.; Taskinen, J.
- Abstract
We show that the linear water wave problem in a bounded liquid domain may have continuous spectrum, if the interface of a two-layer liquid touches the basin walls at zero angle. The reason for this phenomenon is the appearance of cuspidal geometries of the liquid phases. We calculate the exact position of the continuous spectrum. We also discuss the physical background of wave propagation processes, which are enabled by the continuous spectrum. Our approach and methods include constructions of a parametrix for the problem operator and singular Weyl sequences.
- Subjects
WATER waves; CONTINUOUS spectrum (Atomic spectrum); THEORY of wave motion; WEYL theory of boundary value problems; INTERFACE dynamics
- Publication
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2015, Vol 95, Issue 8, p859
- ISSN
0044-2267
- Publication type
Article
- DOI
10.1002/zamm.201300212