**Date & Time:** Monday, March 30, 2015, 15:00-16:00.

**Venue:** Ramanujan Hall

**Title:** On some fourth order problems associated to Physics

**Speaker:** Sanjiban Santra, University of Sydney

**Abstract:** We consider a fourth order traveling wave equation associated to the
Suspension Bridge Problem (SBP). This equations are modeled by the
traveling wave behavior on the Narrows Tacoma and the Golden Gate
bridge. We prove existence of homoclinic solutions when the wave speed is small. We will also discuss the associated fourth order Liouville
theorem to the problem and possible link with the De Giorgi's
conjecture. This is an attempt to prove the McKenna-Walter conjecture
which is open for the last two decades.