Self-similar Solution for Fourth Order Curvature Flow Equation:A Problem with Incompatible Initial D

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  Our study is the problem of the existence of the self-similar solution for the surface diffusion flow in one-dimensional case with nonlinear boundary conditions.This problem was proposed by W.W.Mullins in 1957 to describe the thermal grooving.In this talk,we show the existence of self-similar solution of the differential form of the surface diffusion flow with linearized boundary conditions.
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