@mathematics.peter: The Navier Stokes equations are a set of partial differential equations that describe the motion of fluid substances such as liquids and gases. They express the principles of conservation of momentum and mass in a continuous medium. The equations account for fluid velocity, pressure, density, viscosity, and external forces. In essence, they model how a fluid accelerates in response to internal pressure differences and external forces while being resisted by its own viscosity. Despite their fundamental importance in physics and engineering, the existence and smoothness of solutions to the Navier Stokes equations in three dimensions remain one of the most important unsolved problems in mathematics.

butterflycrusader☦️ :

Is this tuff for theoretical physicists💔

plasmaiscool99 :

Wanna know what's fun? Applying these equations to a plasma. Because plasma are electrical fluids. So you also get to include Maxwell's equations :))). My entire thesis was practically deriving the equations I had to do, and a small section about my results lmao. It's called "Magnetohydrodynamics" or MHD

Caturra :

incompressible fluid is a simplification of a real fluid, and while the navier stokes equations in their essence are indeterminate, Newton's transport equations are utilised in various degrees to further simplify and approximate the NSE to reality. the NSE may not be solvable with current technology, but the approximations are pretty damn close

TJ🗿🍞 :

You just activated my PTSD from second year chemical engineering

jkfgkjfg :

crazy how similiar it is to electromagnetism equations

Lukas :

as an aeronautical engineering undergrad, this is a good explanation 🙂‍↕️

gruber :

isnt that basically black scholes

𝓐𝓶𝓲𝓮𝓮𝓷(Ꮥ𝔢𝔢𝔶𝔲𝔥) :

ts gonna give me a navier stroke💔

PhysicistDrFerrier :

"but in vector form" It's always in vector form.

utónév vezetéknév268 :

Pure nightmare to me

uzzi_boy :

but in vector form 😂😂what other form should it be in

Lisan al-Gaib :

the second I see derivatives I'm out, I finished Calc 2 half a decade a go, and refuse to touch that again

Cj :

Love these equations once you do it enough it becomes simple for existing solutions

PrimalLayer :

At large scales or in certain limits, both the electromagnetic field and gravity can be effectively described using fluid dynamics

Ari :

"Hey Lois, remember that time I taught Stewie fluid mechanics?"

Vergil :

wdym at some point I'll have to learn this 😭

Kinichmain1234 :

Me after hearing all that:

happier :

so they can predict liquid movement?

WoodWay3 :

Ket :

now do compressive fluids

Morgan Hastings :

What is the upside down delta symbol?

1st_hu_tao_lover :

so why are we cheating in the parkour

g.sch68 :

Has to do this to create a fluid simulator 🥲

alforte.016 :

The first image almost killed me