0
$\begingroup$

how can i determine the equation of the surface Laplacian of an ellipse curvature? The ellipse has a=0.3 and b=0.2.

Thanking you in advance for your answer, Danae

$\endgroup$
0

1 Answer 1

0
$\begingroup$

First note that you can use a linear transformation on the plane to transform the ellipse into a unit circle.

Try to determine how the laplacian changes under linear transformations.

Now try to obtain the laplacian induced on the unit circle which is a very simple as the laplacian on the unit circle can simply be defined ad $\frac{\partial^2}{\partial \theta^2}$ in polar coordinates.

$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .