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conference
14/11/2002 16/11/2002

Quasiconvexity and its applications

Princeton University
Lecture room

Quasiconvexity was originally introduced as a condition to understand the closely related questions of lower semicontinuity and existence in the calculus of variations. In the last ten years is has become clear that quasiconvexity is also at the root of many fundamental problems in applications, in particular when a change of scale is involved. Examples include the analysis of microstructure, variational models of dislocation structures, the passage from atomistic to continuum models and hybrid analytical-computational approaches to multiscale problems. At the same time quasiconvexity has important applications to pure mathematics such as the theory of quasiconformal mappings, multidimensional calculus and nonlinear partial differential equations including the 'coarse' or 'soft' approach.
The study of quasiconvexity is a challenging and fertile arena for a genuine two-way interaction between deep mathematical questions and important problems in applied science. This conference, which marks the 50th anniversary of C. B. Morrey's landmark paper on Quasiconvexity, will bring together a carefully selected group of speakers representing a broad spectrum of views on quasiconvexity and its applications at the highest level. At the same time it will provide an excellent opportunity for postdocs and PhD students to enter the field.
A short course "<link internal>An introduction to quasiconvexity" will be held by John Ball on November 12-13.

Supporting organizations

  • Deutsche Forschungsgemeinschaft (through Leibniz prize to S. Müller)
  • National Science Foundation
  • Program in Applied and Computational Mathematics at Princeton University

The workshop also forms part of the Oxford-Princeton Mathematics Research Collaboration.

Poster sessions

Conference participants will have the opportunity to display a poster about their work. Posters will be on display during the hours of the conference (9-6) in the Stokes Lounge, Whig Hall. A poster discussion session is scheduled for Thursday, 14 November, from 4.30 to 6 pm.

Speakers

Kari Astala

Helsinki

Bernard Dacorogna

EPFL Lausanne

Constantine Dafermos

Brown

Lawrence Craig Evans

Berkeley

Gero Friesecke

Warwick

Nicola Fusco

Napoli

Tadeusz Iwaniec

Syracuse (NY)

Richard James

Minnesota

Bernd Kircheim

MPI Leipzig

Jan Kristensen

Heriot-Watt

Graeme Milton

Utah

Michael Ortiz

Caltech

Vladimir Sverak

Minnesota

Christoph Thiele

UCLA

Neil Trudinger

ANU Canberra

Kewei Zhang

Sussex

Program

Nov 12, 2002
14:00 - 16:00 John M. Ball (Oxford/IAS)
Nov 13, 2002
09:00 - 16:00 John M. Ball (Oxford/IAS)
Nov 14, 2002
09:00 - 10:00 Vladimir Sverak (Minnesota)
Universal deformations
10:30 - 11:30 Nicola Fusco (Napoli)
On the total variation of the Jacobian
11:30 - 12:30 Bernard Dacorogna (EPFL Lausanne)
Quasiconvex hulls and minimization in the calculus of variations
13:00 - 15:00 Richard James (Minnesota)
Quasiconvexity and hysteresis
15:30 - 16:30 Jan Kristensen (Heriot-Watt)
A construction of quasiconvex functions
Nov 15, 2002
09:00 - 10:00 Lawrence Craig Evans (Berkeley)
Tutorial on quasiconvexity and regularity of minimizers
10:30 - 11:30 Michael Ortiz (Caltech)
The mechanics of viral DNA packaging
11:30 - 12:30 Kewei Zhang (Sussex)
Subspaces without rank-one matrices and quasiconvexity
14:00 - 15:00 Neil Trudinger (ANU Canberra)
On second order multiple integrals in the calculus of variations
15:30 - 16:30 Graeme Milton (Utah)
Quasiconvexity, rank-one convexity, and composites
16:30 - 17:30 Kari Astala (Helsinki)
Quasiconformal mappings, G-closures and Young measures
Nov 16, 2002
09:00 - 10:00 Constantine Dafermos (Brown)
Quasiconvexity and polyconvexity in elastodynamics
10:30 - 11:30 Gero Friesecke (Warwick)
Cauchy-Born rule and crystallization in 2D mass-spring lattices
11:30 - 12:30 Christoph Thiele (UCLA)
Multi-linear operators with modulation symmetry
14:00 - 15:00 Bernd Kircheim (MPI Leipzig)
Solving partial differential inclusions
15:30 - 16:30 Tadeusz Iwaniec (Syracuse (NY))
What's new for Jacobian determinants and rank-one connections

Participants

Gabriel Agyemang

Ernesto Aranda

Kari Astala

Margarida Baia

John M. Ball

Luis Bandeira

Saugata Bandyopadhyay

Jose Bellido

Jonathan Bevan

Kaushik Bhattacharya

Xavier Blanc

Marian Bocea

Graca Carita

Clara Carlota

Pedro Castaneda

Nirmalendu Chaudhuri

Isaak Chaudhuri

Albert Cohen

Fatima Correia

Marisa da Silva

Bernard Dacorogna

Constantine Dafermos

Bernado de Sousa

Jose Diaz-Alban

Georg Dolzmann

Lawrence Craig Evans

Gero Friesecke

Peter Friz

Nicola Fusco

Yanfei Gao

Daniel Hurtado

Martin Idiart

Tadeusz Iwaniec

Richard James

Nara Jung

Mathias Jungen

Bernd Kircheim

Yueh Ko

Jan Kolar

Jan Kristensen

Osmond Kwashi

Ruediger Landes

Claude le Bris

Giovanni Leoni

Zhiping Li

Chun-Chi Lin

Oscar Lopez-Pamies

Christof Melcher

Graeme Milton

Victor Mizel

Regis Monneau

Massimiliano Morini

Marion Nardone

Lidiya Novozhilova

James Oguntuase

Sunday Olabode

Sofia Oliveira

Oguntuyo Omotayo

Antonio Ornelas

Michael Ortiz

Giampiero Palatucci

Mariapia Palombaro

Christina Popovici

Daniel Reynolds

Maria Reznikoff

Marc Rieger

Mario Romeo

Pedro Santos

Telma Santos

Anja Schlömerkemper

Sergey Serkov

Marisa Silva

Valeriy Slastikov

Valery Smyshlyaev

Vasile Staicu

Alexander Stokolos

Uma Subramanian

Michael Sunday

Vladimir Sverak

Erin Terwilleger

Christoph Thiele

Neil Trudinger

Daniel Vasiliu

Anna Verde

Xiangjin Xu

Xiangsheng Xu

Baishng Yan

Kewei Zhang

Xiao Zhong

Johannes Zimmer

Scientific Organizers

John Ball

University of Oxford

Weinan E

Princeton University

Robert Kohn

New York University

Stefan Müller

Max Planck Institute for Mathematics in the Sciences