PDE seminar: An $(N1)$dimensional strictly convex compact set gives an $N$dimensional traveling front in the AllenCahn equation
 Date

20131113 16:30 
20131113 17:30
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 Masaharu Taniguchi (Okayama University)

 The AllenCahn equation is a simple example for reactiondiffusion
equations with bistable nonlinearity. For this
equation, the existence and stability of twodimensional
Vform fronts are proved by Ninomiya and T(2005). $N$
dimensional cylindrically symmetric traveling fronts are
studied by Hamel, Monneau and Roquejoffre(2005, 2006)
and Chen, Guo, Ninomiya, Hamel, Roquejoffre(2007).
Traveling fronts of pyramidal shapes are studied by T
(2007) and KurokawaT(2011). In this talk I will explain
my recent work and show that there exists an $N$
dimensional traveling front associated with an $(N1)$
dimensional strictly convex compact set.