OCTOBER 4TH
Jose Carillo
{ICREA and Departament de Matemàtiques,
Universitat Autònoma de Barcelona}
Topic: TBA
OCTOBER 6TH
Andreas Prohl
{ETH Zurich}
Modeling,
Analysis, and Numerics of Ferromagnetism
DECEMBER 1ST
Kening Lu
{Brigham Young University}
Topic: TBA
MAY 26TH:
Pinaud Olivier
Columbia
University
Topic: "Modeling of quantum
transport in
nanostructures "
MAY 17TH:
(*3:30 P.M.)*note date change
Dr.
Sagun Schanillo
Rutgers
University
Topic: Concentration Phenomena
and Bouquet Solutions
for the
H-surface Equation.
MAY
12TH:
Dr.
Guillaume Bal
Columbia
University
Topic:
Kinetic Models for
Wave Propagation in Random Media
Abstract:
In recent years,
Wigner transforms have successfully been used to
analyze the
asymptotic behavior of high frequency wave
solutions. Wigner
transforms characterize micro-locally (i.e., in the
phase space) the
oscillatory behavior of functions with a prescribed
physical scale. As
such, they may be seen as extensions of geometric
optics
constructions in the semiclassical regime. Wigner transforms
have also been used
to derive kinetic models for the radiative
transfer of the
energy density of waves propagating in random media.
In this talk, I
will review several of these models and present what
is known about them
mathematically. I will focus on the application of
such kinetic models
to the understanding of the enhanced refocusing
properties of time
reversed waves propagating in heterogeneous media.