NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS TO MATERIALS

April 30 - May 2, 1999
University of Minnesota
Minneapolis, Minnesota

Supported by the National Science Foundation, the Midwest Partial Differential Equations Seminar, the Institute for Mathematics and its Applications and the University of Minnesota School of Mathematics.


The workshop brought together researchers in materials science, applications of PDEs, analysis of PDEs and numerics in a setting which allowed informal interaction as well as a selection of hour talks by leaders in the respective fields. In this manner, issues of intense interest in materials science were brought to the attention of modelers, theoretical analysts and numerical analysts for discussion with the expectation that they will provide ideas and insight useful for the challenges offered by materials research. At the same time, new concepts and methods currently being brought to bear on the fundamental issues in the analysis of PDEs (numerical and theoretical) were presented in a way which the organizers hope will open new paths of inquiry for modelers and for materials scientists. Topics which were discussed include level-set methods, viscosity solutions of scalar PDEs and of systems, nonlinear homogenization, multiple time scales, widely varying length scales, fast numerical methods, and mesoscale models derived from microscale with their relations with the macroscale viewpoint.

Click here for the workshop schedule.


Organizers:

Questions? Send e-mail to gulliver*at*math.umn.edu

Invited Speakers

Analysis of Partial Differential Equations

Avner Friedman
School of Mathematics, University of Minnesota
Mulitiscale PDE problems with free boundaries

Mete Soner
Department of Mathematics, Carnegie-Mellon University / Princeton University
Functions of Bounded Higher Variations

Vladimir Sverak
School of Mathematics, University of Minnesota
On regularity of minimizers of variational functionals with convex energies


Applications of Partial Differential Equations to Materials

Oscar Bruno
Department of Applied Mathematics, California Institute of Technology
Shape-deforming phase transitions in solids

Graeme Milton
Department of Mathematics, University of Utah
Exact relations and fast numerical schemes for composites

Robert Kohn
Courant Institute of Mathematical Sciences, New York University
From step motion laws to surface evolution laws

George Papanicolaou
Department of Mathematics, Stanford University
High-frequency behavior of the nonlinear Schroedinger equation with random inhomogeneities


Materials Science Issues

Richard James
Department of Aerospace Engineering and Mechanics, University of Minnesota
Deformable thin films: from macroscale to microscale and from nanoscale to microscale

Geoff McFadden
National Institute of Standards and Technology
A phase-field model of the rapid solidification of a binary alloy


Numerical Issues

John Lowengrub
School of Mathematics, University of Minnesota
Microstructure Evolution in Elastic Media

Mitchell Luskin
School of Mathematics, University of Minnesota
Stability of Microstructure in Martensitic Materials

Stanley Osher
Department of Mathematics, University of California, Los Angeles
Level Set Methods for Thin Film Growth





Participant List

From registration list.

Mustafa Akdis

akdis*at*caltech.edu

Samuel Albert

albert*at*math.umn.edu

Weizhu Bao

wbao*at*math.gatech.edu

Victor Berdichevsky

vberd*at*me1.eng.wayne.edu

Leonid Berlyand

berlyand*at*math.psu.edu

Jeffrey Bonfiglio

jbonfig*at*math.uakron.edu

Jared Bronski

jared*at*math.uiuc.edu

Oscar P. Bruno

bruno*at*ama.caltech.edu

Maria-Carme Calderer

mcc*at*math.psu.edu

Julian Chaubell

julian*at*ama.caltech.edu

Bernardo Cockburn

cockburn*at*math.umn.edu

Gregory Chechkin

chechkin*at*sci.lebedev.ru

Cameron Connell

connellc*at*cims.nyu.edu

Georg Dolzmann

dolzmann*at*its.caltech.edu

Grant Erdmann

erdmann*at*math.umn.edu

Xinjian Fan

fanxinji*at*egr.msu.edu

Marco A. Fontelos

fontelos*at*ima.umn.edu

Avner Friedman

friedman*at*math.umn.edu

Shuli Fu

fu*at*math.gatech.edu

Ronald Gariepy

gariepy*at*ms.uky.edu

Guillermo Goldsztein

ggold*at*ama.caltech.edu

Yury Grabovsky

yuri*at*math.utah.edu

Robert Gulliver

gulliver*at*math.umn.edu

S. I. Hariharan

hari*at*math.uakron.edu

Chao Huang

chuang*at*gauss.math.wright.edu

McKay Hyde

mckay*at*ama.caltech.edu

Richard James

james*at*aem.umn.edu

Shafiu Jibrin

jibrins*at*mrs.umn.edu

Weimin Jin

wejin*at*indiana.edu

Alvin Kho

kho*at*math.umass.edu

Inwon Kim

ikim*at*math.wisc.edu

Yangsuk Ko

yko*at*math.purdue.edu

Robert Kohn

kohn*at*cims.nyu.edu

Eugene Kramer

kramere*at*math.uc.edu

Ismail Kucuk

kucuk*at*math.utah.edu

Chris Larsen

cjlarsen*at*wpi.edu

Richard Laugesen

laugesen*at*math.uiuc.edu

Youngsuk Lee

youngsuk*at*math.wisc.edu

Jeff E. Lewis

jlewis*at*uic.edu

Bo Li

bli*at*math.ucla.edu

also Univ. Maryland

Fang-Hua Lin

linf*at*math1.nyu.edu

Robert Lipton

lipton*at*WPI.EDU

Chun Liu

liu*at*math.psu.edu

John Lowengrub

lowengrb*at*math.umn.edu

Mitchell Luskin

luskin*at*math.umn.edu

Rolando Magnanini

magnanin*at*math.umn.edu

Jon Marshall

marshall*at*math.umn.edu

Geoff McFadden

mcfad*at*cam.nist.gov

Kai Medville

medville*at*math.rutgers.edu

Scott Meech

wooster*at*math.uakron.edu

Govind Menon

govind*at*cfm.brown.edu

Jose Merodio

merodioj*at*egr.msu.edu

Graeme Milton

milton*at*math.utah.edu

Arje Nachman

arje.nachman*at*afosr.af.mil

Takao Nambu

nambu*at*math.umn.edu

nambu*at*godel.seg.kobe-u.ac.jp

Dave Nicholls

nicholls*at*math.umn.edu

Alexei Novikov

novikov*at*math.stanford.edu

Stanley Osher

sjo*at*math.ucla.edu

Alex Panchenko

aopanche*at*math.udel.edu

George Papanicolaou

papanico*at*math.stanford.edu

Daniel Phillips

phillips*at*math.purdue.edu

Antti Pihlaja

pihlaja*at*cims.nyu.edu

Roma Radford

radford*at*math.psu.edu

Fernando Reitich

reitich*at*math.umn.edu

Xiaofeng Ren

ren*at*math.usu.edu

Cristian Rios

rios*at*math.umn.edu

Tom Robbins

robbins*at*math.utah.edu

Luca Rondi

rondi*at*sissa.it

Pedro Santos

psantos*at*andrew.cmu.edu

Marcus Sarkis

msarkis*at*wpi.edu

Sergey Serkov

serkov*at*math.utah.edu

Quan Shen

qshen*at*math.purdue.edu

Eun Jee Shin

eshin*at*math.purdue.edu

Yi-Chung Shu

yichungs*at*cco.caltech.edu

Dejan Slepcev

slepcev*at*math.wisc.edu

Mete Soner

soner*at*princeton.edu

John Sullivan

jms*at*math.uiuc.edu

Vladimir Sverak

sverak*at*math.umn.edu

Allen Tannenbaum

tannenba*at*ece.umn.edu

Dimitriy Vaynblat

wine*at*viscous.ama.caltech.edu

Ani Velo

apvelo*at*wpi.edu

Darko Volkov

dvolkov*at*math.rutgers.edu

Jay Walton

jwalton*at*math.tamu.edu

Xuelei Wang

xwang*at*math.gatech.edu

Hans Weinberger

hfw*at*math.umn.edu

Baisheng Yan

yan*at*math.msu.edu

Aaron N. K. Yip

yip*at*math.wisc.edu

Gerald Young

jerry*at*zippysun.math.uakron.edu

Giovanni Zanzotto

zanzotto*at*dmsa.unipd.it

David Zeigler

zeigler*at*math.tamu.edu

Bing-Yu Zhang

bzhang*at*math.uc.edu

 



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Page maintained by Bob Gulliver
Last Updated on May 4, 1999