A pr 2 01 7 CONTINUUM LIMIT OF A MESOSCOPIC MODEL WITH ELASTICITY OF 1 STEP MOTION ON VICINAL SURFACES
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چکیده
This work considers the rigorous derivation of continuummodels of step motion starting from a mesoscopic Burton-Cabrera-Frank (BCF) type model following the work [Xiang, SIAM J. Appl. Math. 2002]. We prove that as the lattice parameter goes to zero, for a finite time interval, a modified discrete model converges to the strong solution of the limiting PDE with first order convergence rate.
منابع مشابه
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تاریخ انتشار 2017