TITLE: Variations of the sharp interfaces in multiphase problems - Part II ABSTRACT: We will continue with the discussion in Part I and derive the first and second variations of the nonpolar solvation energy of an implicit solvation model. Then in combining with some basic tools from Calculus of Variations, we will study the variations

TITLE: Variations of the sharp interfaces in multiphase problems - Part III ABSTRACT: We will continue with the discussion in Part II and derive the first variation of the polar solvation energy of an implicit solvation model.  In the rest of this series of talk, we aim at answering the question whether the minimizer of the

Title: Kinetic Monte Carlo Simulations of Multicellular Aggregate Self-Assembly in Biofabrication Abstract:  We present a three-dimensional lattice model to study self-assembly and fusion of multicellular aggregate systems by using kinetic Monte Carlo (KMC) simulations. This model is developed to describe and predict the time evolution of postprinting morphological structure formation during tissue or organ maturation in

Title: Variations of the sharp interfaces in multiphase problems - Part IV Abstract: In the first part of the talk, we will show the existence of a minimizer for a minimal surface problem with prescribed mean curvature and obstacle.  In the second part, we will focus on the question whether the minimizing surface enjoys enough

Title: Variations of the sharp interfaces in multiphase problems - Part V Abstract: We will conitnue with the discussion on the regularity of a minimal surface with prescribed mean curvature and obstacle. The problem leads to a variational inequality. Then we will use a result by Breiz and Kinderlehrer to show that the minimizing surface