Traveling gravity-capillary waves with odd viscosity

TL;DR

This paper investigates the existence of traveling gravity-capillary waves in a non-Newtonian fluid with odd viscosity, using nonlinear bifurcation methods to establish their presence.

Contribution

It introduces a novel analysis of traveling waves in fluids with odd viscosity, expanding understanding of wave behavior in non-Newtonian fluids.

Findings

Existence of traveling gravity-capillary waves proven

Application of nonlinear bifurcation techniques

Insights into wave behavior in odd viscosity fluids

Abstract

In this note, we study the existence of traveling waves of a surface model in a non-newtonian fluid with odd viscosity. The proof relies on nonlinear bifurcation techniques.