Talk:Laplace's equation/Archive 1

Archive 1

Toroidal coordinates

hi, one question! what is laplacian equation in toroidal coordinates(r,phi,theta)? tnx alot i waite for your answers bye

${1 \over r^{2}}{\partial \over \partial r}(r^{2}{\partial f \over \partial r})+{1 \over r^{2}\sin \theta }{\partial \over \partial \theta }(\sin \theta {\partial f \over \partial \theta })+{1 \over r^{2}\sin ^{2}\theta }{\partial ^{2}f \over \partial \phi ^{2}}=0$

I just wanted to comment that this is an excellent article and, in particular, it's written very well!Andrei r 18:50, 21 February 2007 (UTC)

Physics exemple

I think the current discussion of the physics exemples could give the misleading impression that the Laplace equation only is useful in two dimensions. It is of course the case that the Laplace equation can be used in three-dimensional electrostatics and fluid flow (though my impression is that the cases in fluid mechanics where the Laplace equation can be applied are quite few) in the same way as in two dimensions. It is the connection with complex analysis that is lost. —Preceding unsigned comment added by 90.229.231.115 (talk) 19:52, 26 October 2007 (UTC)

Fluid flow 2D example

You may want to explain why u_x+v_y=0 describes an incompressible fluid. —Preceding unsigned comment added by Sprevrha (talk • contribs) 19:45, 19 September 2008 (UTC)

f vs. phi in the definition

Hi

in the defition of the Laplace- problem there is the function f used for the function phi. I know it is because of spherical coordinates with variable phi and function phi but f isn't a good coice becaus f is used in the end of that part for the right side of the poisson equation. Do someone have a solution for that? --Shinji311 (talk) 09:20, 23 September 2010 (UTC)

Excellent article

This seems to me an exceptionally clear (and concise) overview of the subject.

I don't know where the "class = B" rating comes from, but I would call this article a model of exposition. — Preceding unsigned comment added by Dratman (talk • contribs) 15:34, 7 July 2010 (UTC)