|DATE||May 31 (Fri), 2019|
|HOST||Bak, Ji Hyun|
|TITLE||Numerical analysis of phase-field method and its related applications|
The phase-field method is a useful mathematical tool for solving interfacial dynamics problems. The method replaces a boundary condition at the interface with PDEs and one of the most commonly used equations is the Cahn-Hilliard equation, which is the 4th order nonlinear PDE. Since there is no analytical solution in general, its numerical solutions have been studied by many researchers. In this talk, I briefly review the well-known stable numerical method, which is called the convex splitting method, and introduce some applications of the phase-field method including solidification, multiphase fluid flows, image processing, cell dynamics, and etc.