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Dio Margetis, Maryland – Analysis & PDE Seminar

February 14, 2018 @ 4:00 pm - 5:00 pm

Abstract: “A three-scale perspective of epitaxial growth: From atoms to nonlinear PDEs” Abstract: In this talk, I will discuss recent progress and open challenges in understanding the microscopic foundations of continuum models in epitaxial growth. At the macroscale,it is often plausible to coarse grain relevant diffusion processes by use of nonlinear, fourth-order PDEs which may have a gradient flow structure. An issue is to connect these (low-dimensional) PDEs to the microscopic dynamics, namely, large systems of atomic defects (steps) and atoms hopping on the surface of crystals. My talk will touch upon aspects of two related linkages: (i) From steps to PDEs; and (ii) from master equations to motion laws for steps.

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Date:
February 14, 2018
Time:
4:00 pm - 5:00 pm
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