Applied Math Seminar
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 – Amanda Koh (UA Dept. of Chemical and Biological Engineering)
ZoomTITLE: Deformable inclusion jamming for improved magnetorheological performance Abstract: Magnetorheological fluids (MRFs) are simple systems of magnetic particles dispersed in a non-magnetic carrier fluid. When a magnetic field is applied to the MRF, magnetic particles form chains and the fluid becomes more solid-like and able to resist shear forces. This liquid to solid transition, which
Applied Math Seminar – Joe Renzi (UA Grad Student)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTITLE: A Discussion of Variational Models for Phase Transitions Abstract: Variational models are an important way of describing many different phenomena. In this talk, we'll first provide motivation for a variational model for phase transitions and discuss some of its properties. We will then describe how this phase model relates to other variational models.
Applied Math Seminar – Shawn Walker (Department of Mathematics and Center for Computation & Technology (CCT), Louisiana State University)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTITLE: A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints Abstract: We present a numerical method to simulate thick elastic curves that accounts for self-contact and container (obstacle) constraints under large deformations (the motivating model is DNA packing). The base model includes bending and torsion effects, as well as inextensibility. A minimizing movements, descent
Applied Math Seminar – Zheng Sun
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesApplied Math Seminar Date: Friday September 9 Time: 11:00am-11:50am Location: GP 346 Speaker: Denis Aslangil (Department of Aerospace Engineering and Mechanics, The University of Alabama) Title: High-fidelity simulations of multi-physics turbulent flows Abstract: In the real world, turbulence occurs in multi-material/phase flows, which in most cases involve materials with large density differences. Unlike incompressible single-fluid flows, the velocity
Applied Math Seminar – Shibin Dai
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesApplied Math Seminar Date: Friday September 16 Time: 11:00am-11:50am Location: GP 346 Speaker: Shibin Dai (Department of Mathematics, The University of Alabama) Title: Degenerate diffusion and interface motion of single layer and bilayer structures Abstract: Degenerate diffusion plays an important role in the interface motion of complex structures. The degenerate Cahn-Hilliard equation is a widely used model for
Applied Math Seminar – Ali Pakniyat (Department of Mechanical Engineering, The University of Alabama)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Dualities in optimal control theory Abstract: Duality is a mathematical principle which, when it emerges, signifies the intrinsic relations between two distinct concepts, theorems or structures. In this talk, I will present three dualities which emerge in optimal control theory: (i) the duality in the Minimum Principle (MP) between the finite dimensional spaces of state variations