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On the motion of gravity-capillary waves with odd viscosity

Abstract: We develop three asymptotic models of surface waves in a non-Newtonian fluid with odd viscosity. This viscosity is also known as Hall viscosity and appears in a number of applications such as quantum Hall fluids or chiral active fluids. Besides the odd viscosity effects, these models capture both gravity and capillary forces up to quadratic interactions and take the form of nonlinear and nonlocal wave equations. Two of these models describe bidirectional waves, while the third PDE studies the case of unidirectional propagation. We also prove the well-posedness of these asymptotic models in spaces of analytic functions and in Sobolev spaces. Finally, we present a number of numerical simulations for the unidirectional model

 Autoría: Granero-Belinchón R., Ortega A.,

 Fuente: Journal of Nonlinear Science, 2022, 32, 28

 Editorial: Springer Nature

 Fecha de publicación: 19/03/2022

 Nº de páginas: 33

 Tipo de publicación: Artículo de Revista

 DOI: 10.1007/s00332-022-09786-w

 ISSN: 1432-1467,0938-8974

 Proyecto español: PID2019-109348GA-I00

 Url de la publicación: https://doi.org/10.1007/s00332-022-09786-w

Autoría

ORTEGA, ALEJANDRO