2015/01/12 by Matthew Hunt, Hunt, Matthew, Emilian Parau +5
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Ionosphere and magnetosphere dynamics #Ocean Waves and Remote Sensing #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1501.02783
12 pages, 3 figures
arxiv created 2015/01/12 · openalex publication_date 2015/01/12 · arxiv updated 2015/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The problem of interest in this article are waves on a layer of finite depth governed by the Euler equations in the presence of gravity, surface tension, and vertical electric fields. Perturbation theory is used to identify canonical scalings and to derive a Kadomtsev-Petviashvili equation withan additional non-local term arising in interfacial electrohydrodynamics.When the Bond number is equal to 1/3, dispersion disappears and shock waves could potentially form. In the additional limit of vanishing electric fields, a new evolution equation is obtained which contains third and fifth-order dispersion as well as a non-local electric field term.