What is the N-Vortex problem and why is it important in fluid dynamics?

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Differentialgeometer
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Hello, my name is Chris and I‘m new to this forum. I’m german and double-majored in Maths and Physics, I work in Banking and I’m doing a PhD in pure Maths (Fluid dynamics) in my „free“ time (lol).

Married, three kids, we have a Staffordshire Bullterrier and a cat (Russian Blue).

I am mostly intersted in Maths and Physics: but also Quantitative Finance/economics, History and Religion. My hobby is Kickboxing.
 
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jedishrfu said:
PF welcomes you, your family, your cat and your pit bull.

Are you investigating the Navier Stokes equation? As a millennial problem, There’s a lot of money in it for the one who proves or disproves the famous conjecture.

https://en.wikipedia.org/wiki/Navier–Stokes_existence_and_smoothness
Thank you very much for the warm welcome :) I'm investigating a special case of the cousin of the Navier-Stokes equation - the Euler equation - that goes by the name of the N-Vortex problem: It deals with the movement of N-point vortices within a 2-dimensional domain. Even though the NS-eqn is my favourite PDE, so many super smart people haven't solved this mystery yet, that I wouldn't even attempt to contribute anything meanigful :)
 
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