Nov. 9 (Wednesday) 10:00-11:15 and 11:45-13:00

The FitzHugh-Nagumo system gives rise to a geometric variationl problem, when its parameters take values in a particular range. A station-ary set of the variational problem satisfies an Euler-Lagrange equation that involves the curvature of the boundary of the set and a nonlocal term that inhibits unlimited growth and spreading. The nonlocal term is the solution of a Helmholtz equation with the characteristic function of the stationary set as the inhomogeneous term. Depending on the parameters, there may be zero, one, two, or even three radial solutions. A detailed description for the existence and stability results of radial solutions will be given.