Wave propagation in optical lattices with honeycomb background, termed Photonic Graphene, is investigated. A tight binding approximation leads to a coupled mode system. In bulk media a nonlinear Dirac type system is obtained which describes conical, elliptical and straight-line diffraction. With rapidly varying helical waveguides linear and nonl...
Creator:
Ablowitz, Mark J. (University of Colorado)
Created:
2016-10-31
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, we shall survey some recent results on the wave propagation inthe two species competition systems with Lotka-Volterra type nonlinearity. This includes systems with continuous and discrete diffusion.Both monostable and bistable cases shall be discussed.Questions on minimal wave speed for the monostable case,propagation failure in th...
Creator:
Guo, Jong-Sheng (Tamkang University)
Created:
2012-12-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We study wave motion in a lattice differential equation, specifically, in a spatially discrete Allen-Cahn equation with a bistable nonlinearity. The system may, but need not, be near the continuum limit. Superimposed on the regular (periodic) lattice is a spatial variation which varies in an arbitrary (generally non-periodic) fashion; it can eit...
Creator:
Mallet-Paret, John (Brown University)
Created:
2012-10-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this lecture we shall present a survey of recent work on several topics related with numerical approximation of waves.Control Theory is by now and old subject, ubiquitous in many areas of Science and Technology. There is a quite well-established finite-dimensional theory and many progresses have been done also in the context of PDE (Partial D...
Creator:
Zuazua, Enrique (Basque Center for Applied Mathematics)
Created:
2009-03-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Phytoplankton floating in the ocean, sperm moving through the reproductive tract, and fish swimming in the sea all rely on an intricate interplay of forces. These are examples of how flexible structures interact with a surrounding fluid €“ a common theme in biological fluid dynamics. This lecture will explore how mathematical models and computat...
Creator:
Fauci, Lisa J. (Tulane University)
Created:
2015-03-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Wax intestine model. Kidney-bean shaped wax anatomical model with intestines represented with cream-colored wax. Details painted on in red. Small piece of rope attached to back.
Contributed By:
University of Minnesota Libraries, Owen H. Wangensteen Historical Library of Biology and Medicine.
Wax heart and lungs model. Two anatomical lungs represented with brown wax with a wax heart model between them. Arteries and veins in red and blue wax. Paint is chipping in places. Small piece of rope attached to back.
Contributed By:
University of Minnesota Libraries, Owen H. Wangensteen Historical Library of Biology and Medicine.
