Eva Miranda

speaker

1,609 appearances 1 recordings 1 series first heard Jan 2025 last heard Jan 2025

Eva Miranda’s voice in public audio — every appearance, attributed to the second.

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Theories of Everything with Curt Jaimungal · Eva Miranda: The Mathematical Bridge Between Classical and Quantum · 26 Jan 2025 podcast

That was his answer.

And then this is why we started to work on this, because we were applying some techniques from geometry to fluid dynamics.

Again, again, doing a bridge.

I like bridges apparently.

So I was trying to apply some kind of games, geometrical games, to say things.

So I was applying games which were like movement of a trajectory to say things about movement of a

trajectory inside the water.

So the difference, let's say, in a way, today we solve these Hamilton's equations, and these equations are differential equations.

This means that they are in so you have the evolution of uh several variables with time.

But then you can have a partial differential equation in which you have evolution, in which you have the the you have several variables evolving all together, in which you have involved also the partial derivatives.

So it's quite a mess, right?

Partial differential equations, it's much more complicated than differential equations.

And and therefore if you can say something about these partial differential equations using differential equations.

uh you win in a way because you are able to use more advanced or precise techniques.

So in a way I was we were playing this game and uh we got to a point in which this question was asked by Terence Tao in order to address the the this uh riddle on the solutions on the on the equations of Navira Stokes admitting

A regular solution or not.

This is the riddle.

The riddle uh is do Navir stokes admit a regular solution for all time, or are are the solutions gonna blow up, as they say?

Blow up or present a singularity?

And then a way to attack uh this uh this question, which is still not answered, was precisely uh using

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