
Shravan Veerapaneni
Wed Nov 23, 2016
4:00 pm
Simulating the lowRe hydrodynamics of particulate flows is an extremely challenging and important problem that arises in several disciplines. In this talk, I will present recent advances made by our group in overcoming several computational bottlenecks, especially those arising in the context of dense suspensions confined by complex geometries....

Richard S. Falk
Mon Nov 21, 2016
4:00 pm
We consider the finite element solution of the vector Laplace equation on a
domain in two dimensions. For some choices of boundary conditions, there is a
theory, making use of finite element differential complexes and bounded
cochain projections, that shows that a mixed finite element method using
appropriate choices of finite element spaces...

Chris Lester
Mon Nov 14, 2016
4:00 pm
Reactiondiffusion models are widely used to study spatiallyextended chemical reaction systems. The input parameters on which these models are predicated are experimentally derived. In order to understand how the dynamics of a reactiondiffusion model are affected by changes in input parameters, efficient methods for computing parametric...

Deniz Bilman
Mon Nov 7, 2016
4:00 pm
The doublyinfinite Toda lattice is a completely integrable system that possesses soliton solutions. The evolution equation for the Toda lattice is equivalent to an isospectral deformation of a doublyinfinite Jacobi matrix, and the initial value problem can be solved by the inverse scattering transform (IST) associated with this Jacobi matrix. We...

Alex Mahalov
Mon Oct 17, 2016
4:00 pm
We consider stochastic threedimensional rotating NavierStokes equations and prove averaging theorems for stochastic problems in the case of strong rotation. Regularity results are established by bootstrapping from global regularity of the limit stochastic equations and convergence theorems. The energy injected in the system by the noise is large...

Tau Shean Lim
Mon Sep 26, 2016
4:00 pm
We discuss traveling front solutions u(t,x) = U(xct) of reactiondiffusion equations u_t = Lu + f(u) with ignition media f and diffusion operators L generated by symmetric Levy processes X_t. Existence and uniqueness of fronts are wellknown in the case of classical diffusion (i.e., Lu = Laplacian(u)) and nonlocal diffusion (Lu = J*u  u). Our...

Zuoqiang Shi
Mon Jun 6, 2016
4:00 pm
In this talk, I will introduce a novel low dimensional manifold model for image processing problem.This model is based on the observation that for many natural images, the patch manifold usually has low dimension structure. Then, we use the dimension of the patch manifold as a regularization to recover the original image. Using some formula in...