COLLOQUIUM
3:00 p.m., Friday (January 11, 2008)
Math Annex 1100
Prof. Juncheng Wei
Chinese University of Hong Kong
Nonlinear Schrodinger Equation, AllenCahn Equation and Toda System
Abstract: In this talk I will describe a new construction of solutions
to some classical autonomous semilinear elliptic equations in the
plane. These solutions constitute a "gluing" of onedimensional
profiles with a single transition, located very far apart one from
each other. In the case of the AllenCahn equation, solutions with a
finite number of nearly parallel transition layers are built, while
for the stationary nonlinear Schrodinger equation multiple bumpline
patterns are found. The Toda system is shown to rule the asymptotic
shape of these transition lines. A connection with Constant mean
Curvature Surfaces will be discussed. (joint work with M. del
Pino, M. Kowalczyk and F. Pacard.)
Refreshments will be served at 2:45 p.m. (Math Lounge, MATX 1115).
