Can the Navier-Stokes Equations Blow Up in Finite Time? | Prof. Terence Tao
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- Опубліковано 28 лип 2024
- 18.03.15 | The Annual Albert Einstein Memorial Lecture
The Israel Academy of Sciences and Humanities, Jabotinsky 43, Jerusalem
Prof. Terence Tao, Fields Medalist 2006, will speak on: "Can the Navier-Stokes Equations Blow Up in Finite Time?"
The Annual Albert Einstein Memorial Lecture for 2015 will be presented by Prof. Terence Tau, Fields Medalist 2006.
The subject of the memorial lecture will be:
"Can the Navier-Stokes Equations Blow Up in Finite Time?
Prof. Noga Alon, member of The Israel Academy of Sciences and Humanities, will present the speaker.
![Terence Tao - Finite time blowup constructions for supercritical equations [2017]](http://i.ytimg.com/vi/_ckfHYuAjRA/mqdefault.jpg)
6:00 lecture starts. Thank me later.
1stGuyGamez _ THANKS
I'll thank you now
I like how he is supplementing his talk with handmade notes.
Jacob Pesquera yea I do that to.
despite too many math prodigies, mathematics failed the algorithms for a crystal clear Projector
Brilliant and enlighting talk. Thank you Terence
Terence is an all rounded mathematician.
That's surprisingly well arranged talk I thoroughly enjoyed it even tho it's not my area of expertise....
19:30..I think this is the case, although I can't prove it yet.
So rare for someone to admit in academia. Such modesty!
professor terence tao, uh, born in adelaide, australia, got his phd at age 21 from princeton, received
fields medal in 2006...
"I WORSHIP YOU PROFESSOR TAO."
If I remember correctly, the frequency of microwaves used to cook food causes water molecules to rotate. This increases their kinetic energy, thus increasing the temperature of the food.
I just thought that was somehow related to his discussion of vortices with diameter smaller than "L" (I think the width of a water molecule can be considered very small).
There's a very well known phenomenon in Chemistry called superheating, in which pure water can be heated over 100° C without actually boiling. This is because the water doesn't have impurities around which to form a nucleation center for steam bubbles.
A simple jolt or other physical disturbance is enough to make the superheated water "explode". It happens all the time in first-year Chemistry labs. :)
ua-cam.com/video/pgUWQgJ1TbY/v-deo.html
תותח
52:24 fluid machine: tornados
I never imagine this can be the Mozart to listen to!
So he's basically trying to crate a rasengan xD
This hit wayyyy tooo hard omg you had me dying bro
Tao is a god tier math boi
Thank you Dr. Tao. Much food for thought in the engineering domain.
I have spotted a mistake, you have spelt Terence's surname like the Greek letter Tau in your description box
"I AM THE PROFESSOR."
What is the viscosity in a black hole?
Duck
do you mean ''behind the event horizon''? You can't use such loose terms as ''in a black hole'' when it talking about black holes, you have to be mathematically precise.
0
8:22 Newton's second law, not first*
He certainly just misspoke, but you are entirely correct
Imagine correcting the best mathematician in the world and being right.
@@cubecomber9162 best mathematician maybe, but not best physicist
The second law implies the first so he is correct. A mathematician wouldn't bother with the first law.
Starts at 6:08
52:24 black holes
I notice that in his 'cheating' example, the original whorl creates another which is turning in the same direction, and then that one creates the third which is also turning in the same direction. Wouldn't the real case always create ancillary whorls which rotate in the opposite direction, which causes the distribution component to grow in such a way that it directly opposes the increase in velocity of the original? The viscosity should cause something which is rotating clockwise to force adjacent regions to rotate counter-clockwise and therefore make the third whorl as impossible as a set of 3 interlocked gears? Actually, there are 3-gear systems now using an interesting sort of radial design (3 dimensional gears, I don't know if they can even work in 2 dimensions), perhaps water could (theoretically) be configured to move in a pattern like those gears, rather than the sort of standard 2D gear-like whorls depicted?
the 3rd one goes sideways in complex?
i mean they do form donuts, don’t they?
@Kelvin I find it hard to believe you honestly don't understand how metaphors work. What magic in vortices permits propagation of rotational forces in the same direction regardless of opposition?
Are those Opium Puppies on the logo?
Poppies*
Opium ‘puppies’ sounds like animal cruelty lmao
Opium Puppies could be a band name. lol But seriously, WTF is up with those opium poppies on the logo?
Jacob Rafati Must be some jewish symbol because i recognize the hanukkah candle in the middle
Probably pomegranates
"I AM A 4-D SOLUTION." (5)
"RESURRECTION."
"I AM L-ZERO."
Entropy increases.
"I AM L."
The reason why the mathematical analysis has to be done via fluids, is because the physical evidence of identifiably mathematical-elemental information is the Planck Dimension, for which the related mathematical model is the generality of the wave equation's functional point probability recognition, .dt, infinitesimal instant, is at least a conceptual equivalent to the eternal relationship of a "liquid" multi-oscillator or angle-space orientation of singularity.
Or, in alternate/complimentary time and space nomenclature, the general principle of universal phase connection is Quantum, and Navier-Stokes combined with the occurrence of quantized information-liquidity of Primes, in an infinite 1-0D interval, is the cause-consequence implied dynamical function of temporal superposition.
So, Reflection-Rotation in Duration implies a "leaky" durability of a p-brane, which is a transverse-tangential conic-harmonic spatial structure projected "from", or inflated by, the singularity, ..universal vanishing point p.
It's a spongiform quantum foam of infinite complexity held together by eternal existence and inflated by proportionate uncertainty flowing through the conglomeration of prime-bubbles.
So the process is a matter of "Surmise" or opinion, that connection is equivalent to instantaneous superposition, is equivalent to tangentially distributed transverse eternal probability, because unity-connection is the single occurrence of universal existence in an infinite superimposed probability state. (With the observable characteristics of the Big Bang theory)
David Wilkie Holy Fuck. Great.
I wonder what leads people to make up such gibberish. Maybe open a book next time
"L."
Why , Why , can anyone tell me why this is on my youtube frontpage ???
there is one error in the beginning.. I may be too much precise but Tao said incompressible fluid but there not exist such a thing in real life, instead he should have said incompressible flow...that is correct, I would not expect such an error from a fields medalist
Yeah, how dare you john, you should be kind to idiots like alessandro.
practical approximation is a fucking bullshit.. in a logical view. define terms practical and approximation.
Lol i like how u say as if in-compressible flow somehow exist in real life
Although all fluids (including liquids) have some compressibility as you state, it can be assumed they are incompressible for analytical purposes and the results are close enough. There are limits to this assumption.
@btech2009 Water in a black hole is 100% denser than that at the ocean surface.
It is a shame that Prof. Tao is claiming that the Navier-Stokes Equations belong to Physics. These important equations is the creation of Engineers, Mathematicians, both ones founded a discipline very far from Physics which is the well-known Classical Mechanics.
Sarcasm or are you just high?
@@aryanbista747 Don't feed the troll.
If you could indeed build a Turing machine out of water, the evolution would already have done so and did not bother with Carbon.
That makes no sense. You can build a turing machine out of silicon and evolution hasn't done so.
get out of it
it is not your country to make an academy in it
you should call it "The Palestine Academy of Sciences and Humanities" instead and you should celebrate Einstein's death but not make an annual memorial lecture for him
it is PALESTINE
فلسطين
52:24 fluid machine: tornados