We analyze long range wave propagation in three-dimensional randomwaveguides. The waves are trapped by top and bottom boundaries, butthe medium is unbounded in the two remaining directions. We considerscalar waves, and motivated by applications in underwater acoustics,we take a pressure release boundary condition at the top surface anda rigid bo...
Creator:
Borcea, Liliana (Rice University)
Created:
2013-01-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
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.
In center of field is a heart within which is an Akan stool on which are placed 2 fleur de lis and a Maltese cross in the center. Radiating out from the center are ten hearts, each with the name of a Ghanaian town, either located along the coast or inland as far as Kumasi. Color: yellow, tangerine, and indigo.
