The 38th PDE Real Analysis Seminar

(Partner Seminar, Department of Mathematics, Hokkaido University )

Contents

Outline

Organizers :
Y.Giga (University of Tokyo/Hokkaido University)
Period :
October 15, 2008 (Wednesday) 10:30−11:30
Place :
Graduate School of Mathematical Sciences the University of Tokyo, Room #056
Programme :
Atsushi Yagi (Osaka Univ.)
TITLE:
Asymptotic behavior of solutions for BCF model describing crystal surface growth
ABSTRACT:
This talk is concerned with the initial-boundary value problem for a nonlinear parabolic equation which was presented Johnson et al. for describing the process of growth of a crystal surface on the basis of the BCF theory. We will investigate asymptotic behavior of solutions by construct exponential attractors and a Lyapunov function and by examining a structure of the $\omega$ limit set.