Graduate Student / Postdoc Seminar

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Existence of Rotating Vortex Patches for Inviscid Flows

Speaker: Zineb Hassainia

Location: Warren Weaver Hall 1302

Date: Friday, March 25, 2016, 1 p.m.

Synopsis:

We shall discuss in this talk some aspects of the vortex motion for different nonlinear transport models arising in fluid dynamics such as Euler equations and the inviscid generalized surface quasi-geostrophic equations. Specifically we will study the existence of rotating vortex patches (also called V-states) for different topological structures: simply connected and doubly connected patches. The proof relies on the bifurcation theory combined with special functions.The existence of the V-states in a disc and their interaction with the boundary will also be analyzed.