Friday, June 8, 2018 - 9:30am - 10:20am
Navaratnam Sri Namachivaya (University of Illinois at Urbana-Champaign)
First part of this lecture provides theoretical results and numerical demonstration for nonlinear filtering of systems with multiple timescales. This work provides the necessary theoretical bedrock upon which computationally efficient algorithms may be further developed to handle the problem of data assimilation in ever-increasingly higher dimensional complex systems; specifically with a focus on Dynamic Data-Driven Application Systems.
Thursday, March 29, 2018 - 2:00pm - 3:00pm
Dionisios Margetis (University of Maryland)
In this talk, I will discuss macroscopic consequences of the optical conductivity of 2D materials via classical solutions of Maxwell's equations. In this context, the phase of the conductivity plays a key role. I will formally show that: (I) The homogenization of Maxwell's equations for periodic structures made of 2D materials intercalated in conventional dielectrics allows for propagation of waves with nearly no phase delay (epsilon-near-zero behavior).
Friday, April 28, 2017 - 10:30am - 11:30am
Charles Dapogny (Université Grenoble-Alpes)
This presentation investigates the spectrum of the Neumann-Poincaré operator associated
Monday, March 13, 2017 - 2:00pm - 2:50pm
Ying Wu (King Abdullah University of Science & Technology)
As one of the most fundamental concepts in wave physics, resonance can give rise to a lot of interesting phenomena including low frequency band gaps. Because of its “divergent” nature, resonance also adds complexity into the modeling, and may even cause the failure of some widely adopted theories like quasi-static homogenization. In this talk, I will introduce my contributions in modeling classical wave systems with resonances by emphasizing on two major aspects: homogenization and linear dispersion relations.
Monday, March 13, 2017 - 9:00am - 9:50am
Konstantin Lurie (Worcester Polytechnic Institute)
1. The concept of dynamic materials (DM) as thermodynamically open formations in space-time. Cross-disciplinary implementations: properly material (mechanical or electromagnetic), biological (living tissue), environmental (traffic), etc.

2. Mathematical description: Minkowskian space-time. Tensor formulation of electrodynamics of moving bodies. Lorentz group, electrodynamic material tensor. Classification of DM into activated and kinetic.

3. Unusual effects: screening, light trapping, energy and power accumulation.
Tuesday, May 12, 2015 - 2:00pm - 2:25pm
Shari Moskow (Drexel University)
We study the homogenization of a transmission problem for bounded scatterers with periodic coefficients modeled by the anisotropic Helmholtz equation. The coefficients are assumed to be periodic functions of the fast variable, specified over the unit cell with characteristic size~$epsilon$. By way of multiple scales expansion, we focus on the $O(epsilon^{k})$, $k=1,2$ bulk and boundary corrections of the leading-order $(O(1))$ homogenized transmission problem.
Tuesday, July 28, 2009 - 2:00pm - 2:50pm
Hermano Frid (Institute of Pure and Applied Mathematics (IMPA))
No Abstract
Thursday, May 22, 2014 - 10:20am - 11:00am
Michael Weinstein (Columbia University)
I will discuss recent results on the bifurcation of spatially localized states
from a continuum of extended states. This phenomenon plays an important role
in the mathematical study of wave propagation in ordered microstructures,
which are perturbed by spatially compact or non-compact defects.

Near the bifurcation point, there is strong spatial scale separation
and one expects the natural homogenized equation to govern.

Our first example is one in which this intuition does not apply, and an appropriate
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