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

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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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Hello everyone, I was advised to join this community while seeking guidance on how to navigate the academic world as an independent researcher. My name is Omar, and I'm based in Groningen The Netherlands. My formal physics education ended after high school, but I have dedicated the last several years to developing a theoretical framework from first principles. My work focuses on a topological field theory (which I call Swirl-String Theory) that models particles as knotted vortex...

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