First few modes of the
negative laplacian on a maple leaf
My research
is mainly focused on problems of mathematical and
computational physics; an example of this class of problems
is the calculation of the normal modes of an arbitrary
domain in two dimensions. This calculation may be done
analytically within perturbation theory if the domain is a
perturbation of a reference domain (rectangle, circle), or
it may carried out numerically, in the case of a general
domain.
The images on
the left display the first few modes of a domain having the
shape of a maple leaf; the modes obey Dirichlet boundary
conditions at the border. The internal thin red lines are
nodal lines, i.e. lines where the eigenfunction vanishes;
the black (solid and dashed) lines are level curves.
You can find
a list of my publications at the ArXiv
Here you find
a short CV
Here is my
page at google
scholar