| Abstract: |
| An interface equation with exponential curvature appears in some mathematical models. For example, mean curvature flow proposed by Mullins is a well-known interface equation describing the formation of grain boundaries. This mathematical model is originally derived from an interface equation with exponential curvature. Thus it is important to analyze an interface equation with exponential curvature. For this original equation, the existence and uniqueness of solutions have been already shown by Hamamuki. Moreover, a free boundary problem with exponential curvature was studied by Abergel et. al.. In this talk, from mathematical point of view, we consider a simple interface equation with exponential curvature and introduce some results related to the behavior of solutions. |
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