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Journal article
Internal Capillary-Gravity Wilton Ripples
Water waves an interdisciplinary journal
06 Feb 2025
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Abstract
Periodic traveling waves at the interface of two incompressible, inviscid fluids subject to gravity and surface tension are studied. We focus on the case in which the linearization about the quiescent state has a two-dimensional kernel. We prove the existence of sheets of traveling waves in this circumstance. We also compute Wilton ripples in which the leading term has a (1:2) harmonic resonance, the triad ripple configuration. Global branches of waves are computed, terminating in three types of self-intersecting waves.
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Details
- Title
- Internal Capillary-Gravity Wilton Ripples
- Creators
- BENJAMIN F AKERS - U.S. Air Force Institute of TechnologyDavid M Ambrose (Corresponding Author) - Drexel University, Mathematics
- Publication Details
- Water waves an interdisciplinary journal
- Publisher
- Springer Nature
- Number of pages
- 23
- Grant note
- Air Force Office of Scientific ResearchAir Force Office of Scientific ResearchJoint Directed Energy Transition Office: DMS-2307638 National Science Foundation
The authors thank the anonymous referee for many helpful suggestions which have improved the manuscript. The first author acknowledges support from the Air Force Office of Scientific Research and the Joint Directed Energy Transition Office. The second author is grateful to the National Science Foundation for support through grant DMS-2307638.
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001414782800001
- Scopus ID
- 2-s2.0-85217532335
- Other Identifier
- 991022024011904721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Fluids & Plasmas