The Cauchy problem for μHS equation: Weak solutions and integrability
Feride Tiglay (Ohio State University)
μHS equation has a physical interpretation in the context of liquid crystals and is derived as an Euler-Arnold equation on the group of circle diffeomorphisms. Like its ''cousins'' in this framework, it has certain manifestations of integrability---a Lax pair, a bi-Hamiltonian structure and peakon solutions. I will briefly discuss existence of weak solutions and a way of constructing special functions to integrate the equation.