Point vortices, regular islands and polynomials

Point vortices, regular islands and polynomials

Room 3.08 of DMat at UMinho

2022-11-25 - 14:30

2022-11-25 - 16:00

MAP-PDMA

Sílvio Gama

CMUP - University of Porto

 

Abstract ::  After a brief description of what point vortices and passive particles are - on the plane and on the sphere - and how they can mimic real flows, we will derive their dynamic equations from the two-dimensional incompressible Euler equation. Next, we establish the connection between the relative equilibria of identical point (planar) vortices and the first and second derivatives of the polynomial that has the positions of the vortices as its roots. Finally, we will present some open problems, as well as simulations based on computational models.

  

Seminar Room of DMat-UMinho (3.08), and via zoom at 

https://videoconf-colibri.zoom.us/j/92403741454?pwd=UE43T1c3M3g5Y3VoWlZENkMwaGcrUT09

Seminar for the Doctoral Program in Applied Mathematics (MAP-PDMA Seminar)

 

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