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Interfaces in incompressible flows

Abstract: The motion of both internal and surface waves in incompressible fluids under capillary and gravity forces is a major research topic. In particular, we review the derivation of some new models describing the dynamics of gravity-capillary nonlinear waves in incompressible flows. These models take the form of both bidirectional and unidirectional nonlinear and nonlocal wave equations. More precisely, with the goal of telling a more complete story, in this paper we present the results in the works (Cheng in Water Waves 1(1):71-130, 2019; Granero-Belinchón and Ortega in On the motion of gravity-capillary waves with odd viscosity. arXiv:2103.01062, 2021; Granero-Belinchón and Scrobogna in J Diff Equ 276:96?148 1921; SIAM J Appl Math 79(6):2530-2550, 2019; Proc Am Math Soc 148(12):5181-5191, 2020; Phys Fluids 33(10):102115, 2021; Granero-Belinchón and Shkoller in Multiscale Model Simul 15(1):274?308, 2017) together with some new results regarding the wellposedness of the resulting PDEs.

 Autoría: Granero-Belinchón R.,

 Fuente: SeMA Journal, 2023, 80(1), 1-25

 Editorial: Sociedad Española de Matemática Aplicada - Springer

 Fecha de publicación: 12/01/2022

 Nº de páginas: 25

 Tipo de publicación: Artículo de Revista

 DOI: 10.1007/s40324-021-00283-w

 ISSN: 1575-9822,2281-7875,2254-3902

 Proyecto español: PID2019-109348GA-I00

 Url de la publicación: https://doi.org/10.1007/s40324-021-00283-w