[FRIAM] Nothing to do with nick, do we have a formula

[Jochen Fromm]

Oh now I found it.∂u/∂t + (u . ∇)u - ν∇²u = -∇w + g is the convective form of the incompressible Navier-Stokes equation https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_equationsIt is interesting that it is similar to the heat equation and the wave equation. -J.
-------- Original message --------From: Jochen Fromm <jofr at cas-group.net> Date: 2/16/21  22:01  (GMT+01:00) To: The Friday Morning Applied Complexity Coffee Group <friam at redfish.com> Subject: Re: [FRIAM] Nothing to do with nick, do we have a formula The first part looks indeed more like a heat equation ∂u/∂t - v∇²u = 0https://en.wikipedia.org/wiki/Heat_equationI would say it is a special kind of heat equation.-J.-------- Original message --------From: Jochen Fromm <jofr at cas-group.net> Date: 2/16/21  21:42  (GMT+01:00) To: The Friday Morning Applied Complexity Coffee Group <friam at redfish.com> 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 = 0https://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 Mechanicshttps://en.wikipedia.org/wiki/Schr%C3%B6dinger_equationMaybe one of our Mathematicians knows?-J.-------- Original message --------From: jon zingale <jonzingale at gmail.com> Date: 2/16/21  20:17  (GMT+01:00) To: friam at redfish.com Subject: Re: [FRIAM] Nothing to do with nick, do we have a formula ∂u/∂t + (u . ∇)u - ν∇²u = -∇w + g ?

	
	
	

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