<html><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"></head><body dir="auto"><div dir="auto">Oh now I found it.</div><div dir="auto">∂u/∂t + (u . ∇)u - ν∇²u = -∇w + g </div><div dir="auto">is the convective form of the incompressible Navier-Stokes equation </div><div dir="auto">https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_equations</div><div dir="auto"><br></div><div dir="auto">It is interesting that it is similar to the heat equation and the wave equation. </div><div dir="auto"><br></div><div dir="auto">-J.</div><div dir="auto"><br></div><div><br></div><div align="left" dir="auto" style="font-size:100%;color:#000000"><div>-------- Original message --------</div><div>From: Jochen Fromm <jofr@cas-group.net> </div><div>Date: 2/16/21 22:01 (GMT+01:00) </div><div>To: The Friday Morning Applied Complexity Coffee Group <friam@redfish.com> </div><div>Subject: Re: [FRIAM] Nothing to do with nick, do we have a formula </div><div><br></div></div><div dir="auto">The first part looks indeed more like a heat equation </div><div dir="auto">∂u/∂t - v∇²u = 0</div><div dir="auto">https://en.wikipedia.org/wiki/Heat_equation</div><div dir="auto"><br></div><div dir="auto">I would say it is a special kind of heat equation.</div><div dir="auto"><br></div><div dir="auto">-J.</div><div dir="auto"><br></div><div><br></div><div style="font-size:100%;color:#000000" dir="auto" align="left"><div>-------- Original message --------</div><div>From: Jochen Fromm <jofr@cas-group.net> </div><div>Date: 2/16/21 21:42 (GMT+01:00) </div><div>To: The Friday Morning Applied Complexity Coffee Group <friam@redfish.com> </div><div>Subject: Re: [FRIAM] Nothing to do with nick, do we have a formula </div><div><br></div></div><div dir="auto">∂u/∂t + (u . ∇)u - ν∇²u = -∇w + g <br>looks a bit like a wave equation <br>∂²u/∂²t - c²∇²u = 0<br>https://en.wikipedia.org/wiki/Wave_equation</div><div dir="auto"><br></div><div dir="auto">...but it is not a second order differential equation because it contains only a normal derivative like the Schrödinger equation from Quantum Mechanics<br>https://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation</div><div dir="auto"><br></div><div dir="auto">Maybe one of our Mathematicians knows?</div><div dir="auto"><br></div><div dir="auto">-J.</div><div dir="auto"><br></div><div><br></div><div align="left" dir="auto" style="font-size:100%;color:#000000"><div>-------- Original message --------</div><div>From: jon zingale <jonzingale@gmail.com> </div><div>Date: 2/16/21 20:17 (GMT+01:00) </div><div>To: friam@redfish.com </div><div>Subject: Re: [FRIAM] Nothing to do with nick, do we have a formula </div><div><br></div></div><img src="https://media.giphy.com/media/On73X2FIJ1qta/giphy.gif" onmouseover="imageMousePointerUpdate(true)" onmouseout="imageMousePointerUpdate(false)" style=""><br>∂u/∂t + (u . ∇)u - ν∇²u = -∇w + g ?
<br><hr width="300" align="left">
Sent from the <a href="http://friam.471366.n2.nabble.com/">Friam mailing list archive</a> at Nabble.com.<br></body></html>