Waves
Seminar Series
Department
of Mathematical Sciences and Center for Applied Mathematics and Statistics
New Jersey Institute of Technology
Spring 2010
Talks in this series are held Wednesdays in Cullimore
611 at 2:45 pm unless noted otherwise. If you have any questions about a
particular colloquium, please contact the person hosting the speaker. For
general questions about the seminar schedule, please contact Richard Moore.
Date |
Speaker and title |
Host |
3/24 |
J. Douglas Wright, Drexel University, Interaction manifolds in reaction diffusion systems (abstract) |
Roy Goodman |
5/5 |
Chee Wei
Wong, |
Roy Goodman |
March
24, J. Douglas Wright,
We consider a general planar reaction diffusion equation which we
hypothesize has a localized traveling wave solution. Under
assumptions which are no stronger than those needed to prove the stability of a
single pulse, we prove that the PDE has solutions which are roughly
the linear superposition of two pulses, so long as they move along
trajectories which are not parallel. In particular we prove that if
the initial data for the equation is close to the sum of two separated
pulses, then the solution converges exponentially fast to such a
superposition so long as the distance between the two pulses remains
sufficiently large.
May 5, Chee Wei Wong,
Talk postponed due to
faculty meeting.