7th Seminar on Mathematics for various disciplines

(COE Partner Seminar, Department of Mathematics, Hokkaido University )

Contents

Outline

Period :
October 5, 2006 (thursday) 16:30-17:30
Place :
Graduate School of Mathematical Sciences the University of Tokyo, Room #123
Programme :
Dr. Narita Makoto (Department of Mathematics, National Taiwan University)
Global existence and asymptotic behavior of Gowdy symmetric spacetimes with nonlinear scalar field
ABSTRACT:
We study global properties of Gowdy symmetric (the existence of a symmetry group with two-dimensional spacelike orbits) spacetimes with nonlinear scalar field, which naturally arises in modern cosmology based on superstring theory. The system of the Einstein and scalar field equations becomes a system consisting of wave map and nonlinear wave equations in one space dimension. We prove a global existence theorem for this system. Also, asymptotic energy decay will be discussed.