Speaker : 1. Professor Yasushi Hataya (Yamaguchi University), 2. Professor Tai-Ping Liu (Institute of Mathematics, Academia Sinica)
Title : 1. Decay estimates of viscous surface flow without capillary, 2. Invariant Manifolds for Steady Boltzmann Equation VI
Time : 2011-03-14 (Mon) 10:00 - 13:00
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: 1. We discuss the existence of decaying solution of Navier-Stokes equations with free surface, on which we neglect the surface tension effect. Two slow modes of the linearized equations arise in the eigen value problem of a family of ODEs. Carefull estimates on the eigen values and the spaces lead to the decay properties of PDE. We adopt Beale-Nishida('85) approach to the long wave analysis.