Nodal solutions for a class of degenerate boundary value problems

Date: August 01, 2017
Location:FLN 4.01.20
Time: 4:00 PM - 5:00 PM


UTSA Mathematics Department Presents: Dr. Peter Polacik April 20, 2016 Department NewsEventsSeminars

Dr. Peter Polacik from the University of Minnesota will join us at UTSA on Friday April 22 to discuss:

 Propagating Terraces in the Dynamics of Front-like Solutions of Parabolic Equations


We consider semilinear parabolic equations on the real line. By a front-like solution we mean a solution u(x, t) which has limits as x → ±∞ equal to constant steady states ±γ. In many well studied cases, the behavior of such solutions is governed by a traveling front connecting the steady states γ and −γ. However, in general, such a traveling front does not exist. We explain in the lecture how a more general concept, a propagating terrace, or a stacked system of traveling fronts, can used to describe the large time-behavior of front-like solutions.