Competing Interactions and Traveling Waves in Bistable Lattice Equations

Thursday, December 6, 2012 - 11:30am - 12:20pm
Keller 3-180
Erik Van Vleck (University of Kansas)
We consider traveling wave solutions of bistable lattice differential equations
with repelling first neighbor and/or second neighbor interactions. Such equations
arise as prototypical discrete models of phase transitions. Traveling wave solutions
in this case correspond to heteroclinic connections between spatially periodic solutions
and in some cases results can be obtained by rewriting as an appropriate vector equation.
We present some recent results when there are both repelling first and second nearest
neighbor interactions and for repelling first neighbor interactions in higher space

This talk represents joint work with Maila Brucal-Hallare, Hermen Jan Hupkes,
Anna Vainchtein, and Aijun Zhang.
MSC Code: