PDE Real Analysis Seminar

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Date, time & place Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.)

2008/10/15

10:30-11:30   Room #056 (Graduate School of Math. Sci. Bldg.)
八木厚志 (大阪大学)
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.