Nonlocal problems: modeling, analysis and computation - Part III of III
For Part I, see MS-Tu-E-09
For Part II, see MS-We-D-09

Date: August 12
Time: 16:00--18:00
Room: 203A

(Note: Click title to show the abstract.)

Lipton, Robert (LSU)
Du, Qiang (Columbia Univ.)
Mengesha, Tadele (The Univ. of Tennessee)

Abstract: The goal of this minisymposium is to bring together researchers work-
ing on problems related to the nonlocal modeling of physical phenomena
and their mathematical analysis. The theme is on modeling, analysis and
simulation with a focus on nonlocal continuum equations that arise from
applications. The session will be multifaceted so as to cover work related
nonlocal modeling and computational simulations of models, and analyti-
cal and numerical aspects such as well-posedness of nonlocal stationary and
evolution equations, regularity of solutions and numerical approximations.

Nonlocal mathematical models arise naturally in many important fields
and they are found to be useful where classical (local) models cease to be
predictive. Moreover, nonlocal models are suitable for multiscale modeling
as they can be effective in capturing the underlying nonsmooth microscale
fields. An example is peridynamics, a nonlocal reformulation of the basic
equations of motion of continuum mechanics, which is being used to model
cracks and discontinuous fields in solid mechanics. Other areas of application
include image processing, modeling population aggregation, wave propaga-
tion, pattern formation, and porous media flow. In this minisymposium,
research works which have produced novel analytical and numerical methods
for nonlocal problems will be presented.

Cohesive Dynamics and Fracture
Lipton, Robert (LSU)
Said, Eyad (Louisiana State Univ.)

A PDE approach to numerical fractional diffusion
Salgado, Abner (Univ. of Tennessee)

Surface effect corrections in peridynamic solid mechanics
Seleson, Pablo (Oak Ridge National Laboratory)

Nonlocal calculus of variations involving high order nonlocal operators
Du, Qiang (Columbia Univ.)
Tian, Xiaochuan (Columbia Univ.)


Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA