I’ve discovered a truly marvelous solution to the Navier-Stokes equation, which this comment is too narrow to contain

The best video on navier-stokes equation

Why didn't Navier and Stokes solve their own equations, damn it?!

As a fluid dynamicist, I congratulate you, sir, for the quality of your videos. You manage to convey the meaning of the topics you present, in a clear and concise manner, and the beauty of mathematics. More content like this is needed. Keep the good work.

There's something profoundly recursive about using a fluid simulation to illustrate what aspects of fluid motion prevent us from solving Navier-Stokes...an equation that would allow us to accurately simulate all fluids (obviously fluid simulations are using shortcuts and it's just for demonstration purposes, but it's still brain twisty)

Hey I must appreciate ur work behind d screen..good job👍👍

i'm really happy i discovered this channel

Dude, your channel is gonna blow up. Content and presentation is awesome! Really hope to see more from you. You make math feel visceral, not "far away," if that makes any sense

It's one thing to understand a difficult subject but quite a different matter to convey one's understanding with this level of clarity. It is a gift.

when i finally grasp the concept by the end of the video, especially if it ends with such quotes, i get chills down my spine, i love your content

I have been studying fluid dynamics for last 7 years and I must say this presentation was spot on!!! Great job!!!!

I just want to gush about this guy's videos to every person in my life. Their quality is singular. Thank you Arts-and-Crafty Storyteller Math-Man for expending your focus in this way.

I see that trajectory, well deserved, you'll quickly rise to the top. I love your enthusiasm and passion for the subjects, not to mention the production and execution of the content are top-notch. Hats off.

Love the video! Maybe interesting to know: In CFD (Computational Fluid Dynamics) we solve it by averaging the turbulente fluctuation of the velocity. Therefore different turbulence models are being used and improved every year. That's why flow simulation, around airplanes for example, is possible. So we can't solve it at all, but we became really good at simulating it!

This is the best explanation of Navier Stokes I've seen. Well done.

This is one of the most beautiful videos I've seen on youtube. Dude, youre freaking amazing and you've got me subbed so bad

This is definitely the kind of content I was looking for! So good!

I have no words to describe......... How beautiful this explanation was......

Thanks for the great video. I have watched a handfull of videos to understand the Navier Stokes equation, and yours is the first one that actually managed to teach me something about it.

These videos are amazing!! I really love the presentation along with the explanations. Phenomenal work dude!

for the very first time in my life...i feel alive after watching this video....wow thank you

What I find even more beautiful about Navier-Stokes is that when actually think about it, it arises in a relatively "simple" manner, being Newton's Second Law applied to fluid mechanics, but it still so incredibly difficult. Nonlinear parcial differential equations are so rough to handle, but at the same time they appear in so many places in the study of nature, I guess this is a testament to just how complex nature really is. Anyway, very good video, and a question for you, do you plan on covering any other specific differential equations, and if yes, which ones?

The "Stokes" is an ancestor of mine who developed an equation for the rate of fall of a sphere through a viscous medium. I never have figured out what use the formula was. It's nice to see educational videos and thanks for sharing.

Wow, that was beautiful explanation of navier stokes equation. This channel deserves more attention

Dude. Awesome. Keep doing what you do. Ill be watching your future with great interest.

Brilliant. This is totally awesome. Way to go, Aleph!

You are a superb teacher. I've subscribed and as soon as I finish typing this I'll search for all your other videos. Thank you!

You are simply amazing! Pls keep going with your content🔥❤️

Really nice video on Navier-stokes eqn. Will be waiting for furthur uploads..Keep it up dude.

Damn this is like the best video I have seen about this topic, very well explained. Thank you!

Just Woww!!! It was quite simple for You to explain the problem behind Navier-Stokes equations!! Congrats!!

you explained everything so clearly, thank you

I am so happy to see Ladyzhenskaya's work mentioned here! Excellent video, as always.

soooooooo moved by your fascinating presentation...... mind blowing... thx

This is so deep. The analogy to the human mind really caught me off guard. Thanks for the content.

I really appreciate your videos! Hope you keep on.

Really love your work bro! Keep it going

Yep I also agree that your channel is gonna boom. I liked the channel after finishing my very first video from this channel.

Congratulations! Nice and complete video!

Brilliant short video, well done! I'd like longer ones too.

I am so glad I found this channel!

One needs a certain level of passion to make such video!!!!! Thanks man , it was a great! explanation.

Beautiful and outstanding job man!

Great work!! Keep shining brother!

Thanks for sharing this. A very accessible presentation of a complicated equation.

Thank you for this! Very intriguing.

Just beautifully put together!

Came here to procrastinate on my upcoming fluid mechanics exam. Wasn't expecting such a philosophical ending.

Best of luck getting this Chanel up and running

Loved the video! This made me realize that there isn't much vulgarisation content on youtube about functional analysis and pde theory compared to topics like algebra and topology. I'm guessing that might be because the subjects seem to deal on the surface with relatively easy topics like multivariable calculus, and it feels hard to go into more details without getting into the specifics of various functional spaces. That's a shame because these are the fields I study and it sometimes kind of feel like they're unappreciated by "pure" mathematicians. If you want to talk more about this kind of stuff, I think it would be really cool to have a video on distribution theory. I feel like the concept might be general enough to fit into one video, more so than sobolev spaces for example.

I've just started working on fluid mechanics, it's nice to see where it's leading, even if it's leading somewhere unsolvable :))

Great video, so much quality :)

This is an excellent video. Keep it up.

Very inspiring video... Wish I had a calculus teacher like that.

Awesome vid. Would be great to have some more Millennials explained simply like that

A part from being among the top top channel of math in all KZfaq, there is something special about yours the way you simplify the key milestones to really understand a hard concept. Without the need of big animations, because it relays on these key Simplifications. As you side in other video; you are simplifying knowledge for us, thank you for sharing this digested math wisdom. I loved all your videos so is silly to suggest but I really calculus since is the language of Nature. Understanding the nature of calculus is understanding nature from Math point of view. I would love to see more related video to differential equations e.g. Laplace transformation. Or the relation between different fields of math. One subject that always fascinate me is the conical curves :) This channel can only grow, thank you for your efforts.

wow.. one of the best.. keep it up bro.. 👍👍

Your explanation, presentation, comparison with nature life god everything...everything is awesome

Great vid hope you do one for every million dollar question

I'm a second year in aerospace engineering, and this was very interesting to watch. Super stoked to learn more about this in further detail (no pun intended)

I absolutely have no knowledge on physics but I understood this...kudos man

Wonderful job 👍

Very nice presentation! You can add a new episode on how to solve the equation numerically.😊

Awesome video. Thank you!

Holy shit.... this made me think and perceive things differently

Excellent content, subbed and liked

Best math channel ever

Amazing video ⭐❤

Very good. Thanks a lot.

thanks a lot- very good job

Brilliant, clear and interesting introduction to this topic - thank you!

Excellently done.

Really great video! But Navier stokes also has its limits! Even for fluids. You can only apply them to continuums where the Knudsen number is small enough.

Amazing video! you deserve more subs

Awesome video

Awesome video.

Do a video on mass gap bro! You explain the millennium problems so well

can you please make a video on curl, divergence and electromagnetic equations. intuition behind those concepts is elusive for me

I love the last quote

Beautiful!

the best video about the Navier Stokes Equation. "Solving Navier Stokes Equation is like solving a personality" ...wow

Wow. What a video!

best math youtuber i know!

Amazing video!

Nice Presentation

A pattern to noticed in likes and dislikes, likes can be described as squares and dislike as sum of squares Like : n^2 Dislike : (n+2)^2+(n-1)^2

nice video aleph naught!

Very well done

Wow… I just graduated with my math degree and I believe you’ve just convinced me to go back for phd… dang it

Navier stokes in incompressible form hurts my eyes - detracts from the problem - and I mainly work with incompressible flows. In any case, great video and very well presented.

THis teaches everything that's needed

Quite-Well-Explained

Enjoyed!

Amazing channel!

I'm going to do it!

Great video, bro!

Excellent video.

Kudos for quoting Pynchon!

How can this awesome video only get 1k views!!

BESTEST Video ever in internet about N.S equations. Million thanks for this. Also, Solutions for N.S. equations doesn't exist like the word BESTEST :)