The subjects of my research are variational problems for surfaces and surface evolution equations. In particular, I am interested in the mathematical structure of the contact angle between two surfaces, so my recent researches are analysis for surface evolution equations with contact angle conditions and characterization of surfaces with contact angles by using an energy functional which appeared in a phase separation model. On these researches, I apply analysis of the asymptotic behavior of classical solutions (smooth solutions) and the geometric measure theory which enable representation of a surface with singularities as a measure.

Keywords	Nonlinear Partial Differential Equations, Surface Evolution Equations, Variational Problems, Geometric Measure Theory
Faculty , Department	Institute of Mathematics for Industry , Fundamental Mathematics