Posted by
Jochen Fromm-5 on
Feb 16, 2021; 9:01pm
URL: http://friam.383.s1.nabble.com/Nothing-to-do-with-nick-do-we-have-a-formula-tp7600785p7600789.html
The first part looks indeed more like a heat equation
∂u/∂t - v∇²u = 0
https://en.wikipedia.org/wiki/Heat_equation
I would say it is a special kind of heat equation.
-J.
-------- Original message --------
Date: 2/16/21 21:42 (GMT+01:00)
To: The Friday Morning Applied Complexity Coffee Group <
[hidden email]>
Subject: Re: [FRIAM] Nothing to do with nick, do we have a formula
∂u/∂t + (u . ∇)u - ν∇²u = -∇w + g
looks a bit like a wave equation
∂²u/∂²t - c²∇²u = 0
https://en.wikipedia.org/wiki/Wave_equation
...but it is not a second order differential equation because it contains only a normal derivative like the Schrödinger equation from Quantum Mechanics
https://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation
Maybe one of our Mathematicians knows?
-J.
-------- Original message --------
Date: 2/16/21 20:17 (GMT+01:00)
Subject: Re: [FRIAM] Nothing to do with nick, do we have a formula
<img src="https://media.giphy.com/media/On73X2FIJ1qta/giphy.gif" onmouseover="imageMousePointerUpdate(true)" onmouseout="imageMousePointerUpdate(false)">
∂u/∂t + (u . ∇)u - ν∇²u = -∇w + g ?
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