We begin the tutorial by introducing a couple of interface problems in various physical and biological applications as motivating examples. We then present some basic ingredients of phase field models and take a special example to illustrate both analytical and computational aspects of the relevantvariational problems and associated gradient dyn...
Creator:
Du, Qiang (The Pennsylvania State University)
Created:
2013-07-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Multiscale Modeling and Simulations of Biomembranes. Q. Du: 6 lectures, 50min each.This course will be synchronized with and form an extension of course I (above). The proposed themes will include:1. Overview of the subject; molecular dynamics simulations; coarse-grained models; specifics of Helfrich's continuum theory for biomembrane bending en...
Creator:
Du, Qiang (The Pennsylvania State University)
Created:
2013-07-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, we report some recent works on the diffuseinterface models of some interface problems with curvaturedependent interfacial energies such as the Helfrich elasticbending energy for vesicle membranes. We discuss varioustheoretical and computational issues related to the diffuseinterface approach and present some simulation results fort...
Creator:
Du, Qiang (The Pennsylvania State University)
Created:
2009-03-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
To improve materials design, it is important to understand the influence ofmicrostructure on the physical properties of a material. Very often, it is the nucleation process that dictates the microstructure. We present some recentjoint works with colleagues at Penn State on the computational studies of criticalnuclei morphology, growth and coarse...
Creator:
Du, Qiang (The Pennsylvania State University)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.