Grain Boundary Motion with Time-Dependent Misorientation and Mobility Effects
Host
Department of Applied Mathematics
Speaker
Masashi Mizuno
Department of Mathematics, Nihon University
http://trout.math.cst.nihon-u.ac.jp/~mizuno/
Description
To study the dynamics of grain boundaries is important to understand the mechanism for defining the material properties of polycrystals. In my talk, I will present a model of grain boundary motion with time-dependent misorientation and mobility effects. First, I derive the system of partial differential equations from the model using the energetic variational principle. Next, I will show the existence of solutions to the system of the partial differential equations. The key ingredient of the analysis is the so-called monotonicity formula of Huisken's type. Moreover, to treat the time-dependent mobility, we use the modified Gauss kernel to the monotonicity formula.
Event Topic
Stochastic & Multiscale Modeling and Computation