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BIRS Workshop Lecture Videos

Asymptotic behavior of solutions to level-set mean curvature flow equations with discontinuous source terms Hamamuki, Nao


Motivated by the two-dimensional nucleation of crystal growth, we consider the initial-value problem of the level-set mean curvature flow equation with discontinuous source terms. We discuss uniqueness and existence of viscosity solutions and study the asymptotic shape of solutions. Applying the game-theoretic interpretation for this problem, we also study the asymptotic speed of solutions. This talk is based on a joint work with K. Misu (Hokkaido University).

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