Shibin Dai
Applied Math Seminar – Aaron Yip, Purdue University
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Dynamics on Inhomogeneous Medium Abstract: By means of two examples: (i) an ODE for the dynamics of a particle and (ii) a PDE for the motion by mean curvature of a surface, I will discuss some results, questions and recent attempts in the study of dynamical equations in inhomogeneous environment.
Applied Math Seminar – Karl Glasner (University of Arizona)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesMathematical Aspects of Nanoscale Self-Assembly Self-assembly is a fundamental process for creation of both biological and synthetic materials. The latter are being employed in important biotechnological applications like drug delivery, as well as forming the basis for molecular sized machines. Recent advances in nanoscale fabrication in polymer systems, in particular, has lead to growing interest
Applied Math Seminar – Hongsong Feng, University of Alabama
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Augmented matched interface and boundary(AMIB) method for elliptic interface problem and a high order fast Poisson solver Abstract: The elliptic interface problem plays an important role in fields such as electromagnetics, bimolecular electrostatics, and material science. This talk introduces augmented matched interface and boundary method that is applied to obtain second order fast solution
Applied Math Seminar – Toai Luong (University of Alabama)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Minimizers for the Cahn-Hilliard energy functional under the Dirichlet boundary conditions Abstract: We study the minimizers for the Cahn-Hilliard energy functional with a symmetric quartic double-well potential and under the Dirichlet boundary conditions. Using the Nehari manifold method and connecting it to the eigenvalue problem for the negative Laplacian with the homogeneous boundary condition, we prove that if the boundary value is
Applied Math Seminar – Andrea Giorgini (Indiana University)
ZoomTITLE: Diffuse interface methods for incompressible two-phase flows ABSTRACT: The diffuse interface (or phase field) theory has emerged in the last decades as a versatile approach to describe the interface dynamics in many problems arising from fluid and solid mechanics, image processing, material sciences and biology. Among many, recent applications are Li-ion batteries and tumor
Applied Math Seminar – Libin Rong (University of Florida)
ZoomTITLE: Recent developments in modeling HIV infection and treatment ABSTRACT: HIV infection is still a serious public health problem in the world. Highly active antiretroviral therapy can suppress viral replication to a very low level but cannot eradicate the virus. Mathematical models, combined with experimental data, have provided important insights into HIV dynamics, immune responses, and drug
Applied Math Seminar – Yuan Chen (Michigan State University)
ZoomTITLE: Geometry of curve lengthening membranes. ABSTRACT: In this talk, I’ll present rigorous results of the transient evolution of bilayer interfaces evolving of the mass preserving L^2-gradient flow of the functionalized Cahn-Hilliard equation. The proof is based on energy modulated method, which requires a construction of slow manifold – bilayer manifold, composed of approximated solutions dressed around
Applied Math Seminar – Ben Jones (University of Alabama)
ZoomTITLE: Adaptive pseudo-time methods for the Poisson-Boltzmann equation with Eulerian solvent excluded surface ABSTRACT: This work further improves the pseudo-transient approach for the Poisson Boltzmann equation (PBE) in the electrostatic analysis of solvated biomolecules. The numerical solution of the nonlinear PBE is known to involve many difficulties, such as exponential nonlinear term, strong singularity by the source
Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTITLE: Variations of the sharp interfaces in multiphase problems ABSTRACT: During recent decades, there has been a tremendous growth of activity on multi-phase problems, e.g. multiphase fluids. In most such models, different phases are separated by a sharp interface. This talk aims at introducing some basic geometric tools for taking first and second variations of the
Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTITLE: 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