| Abstract: |
| In this talk we will review some recent results on the dynamics of a free boundary problem arising in a non-newtonian viscous flow with the so called 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, the models that we will present capture both gravity and capillary forces up to quadratic interactions and take the form of nonlinear and nonlocal wave equations. We will present some well-posedness result and also study the existence of m-fold symmetric traveling waves. |
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