Department of Mathematics and Statistics
Rochester, MI 48309-4401, USA
Modeling of Industrial Processes using PDEs and Variational Inequalities
Dynamic or Quasistatic Contact, Friction, Wear, and Adhesion; thermal effects
Material Damage, Piezoelectric materials, nonlinear oscillations
Versions of the HANDY model for complex societies
Models in epidemiology and population dynamics: Chagas disease, MERS, COVID-19
Visiting Professor, Univ. of Perpignan, France: June 1997; June 1998; June-July 2001;
June-July 2003; December 2006; June 2014; June 2015; June 2019
June 2022;
Visiting Professor, Jagelonian Univ. Krakow, Poland: April 2014; May 2015; May 2019
Visiting Professor, Federation Univ. Ballarat, Australia: January 2014
Visiting Professor, Technical Univ. of Warsaw, Poland: May 2011; May 2014
Visiting Professor, Univ. of Pretoria, South Africa; April-May 2008
Visiting Professor, Korea Inst. Advanced Study: May 2005
Visiting Professor, Univ. of Santiago, Spain: September 2002
Visiting Professor, Univ. of Reunion, France: May-June 1999, May-June 2000
Visiting Professor, Univ. of Kentucky, Lexington: Fall 1994
Distinguished Professor, Oakland University, 2015
Professor, Oakland University, 1993-2015
Associate Professor, Oakland University, 1988-1993
Visiting Lecturer, Claremont Grad. School, 1987-1988
Research Assistant, Imperial College, UK, 1986-1987
Researcher, Univ. Buenos Aires, Argentine, 1985
Recipient of the Oakland University 2002 Research Excellence Award
Presented the 2013-14 Oakland University Presidents Colloquium -- The Mathematics of Change
TEACHING ASSIGNMENTS
Fall 2022
MTH 2554 Calculus III
APM 5557 - Advanced PDES
PUBLICATIONS
Articles
The papers are in the PDF formats and some may be downloaded.
The abstracts of some of the papers are clickable.
I added some comments to some of the papers.
Books
Models and Analysis of Quasistatic Contact - Variational Approach
by Meir Shillor, Mircea Sofonea, and J. Joachim Telega
Lecture Notes in Physics 655, Springer, Berlin, 2004.
The monograph presents recent models and mathematical analysis of quasistatic contact problems.
It contains detailed models, their variational formulations, and proofs of their solvability.
For the abstract click here Abstract . For further details click here.
Analysis and Approximations of Contact Problems
with Adhesion or Damage
by Mircea Sofonea, Weimin Han, and Meir Shillor
Pure and Applied Mathematics 276, Chapman & Hall/CRC Press, Boca Raton, Florida, 2006.
This monograph deals with mathematical and numerical analysis of recent models for contact
processes that may include adhesion or material damage. For the abstract click here Preface.
For further info click here.
Recent Talks and Presentations
Mathematical Models for Chagas Disease
Keynote Talk in the BIOMATH 2013, International Conference on Mathematical Methods and Models in Biosciences, 16-21 June 2013, Sofia, Bulgaria.
The Mathematics of Change Colloquium, 17 January 2014,
Federation University, Ballarat Australia.
Recent Results on Dynamic Contact of a Gao Beam
Jagelonian University, Krakow, Poland April 30, 2014
Dynamic nonlinear problems with contact
Warsaw Technical University, Warsaw, Poland
May 6, 2014
Recent Results on Dynamic Contact of a Gao Beam
Faculty of Machine Design Fundamentals
WTU, Warsaw, Poland
May 7, 2014
Recent Results on Dynamic Contact of a Gao Beam
The 22nd Polish French Seminar on Mechanics
Warsaw, Poland
May 19, 2014
Recent Results on Dynamic Contact of a Gao Beam
Division of Material Science
IPPT- Polish Academy of Sciences, Warsaw, Poland
May 21, 2014
The Mathematics of Change
Warsaw Technical University, Warsaw, Poland
May 28, 2014
Recent Results on the Dynamics of the Gao beam
Workshop on Modelling and Analysis of Nonlinear Problems
Perpignan, France
June 5, 2014
Recent Results on Dynamic Contact of a Gao Beam
University of St Etienne, St Etienne, France
June 12, 2014
On Frictional Contact with Thermal Effects and Wear
University of St Etienne, St Etienne, France
June 9, 2015
Population Models for Wood Frogs and Chagas Disease
Key note talk in the Workshop
Perpignan's Days on Applied Mathematics
10-12 June 2015 Perpignan, France
Dynamic Contact Processes in Systems of Bars
Workshop on fluid-structure interactions: an asymptotic approach
8-9 October 2015 La Coruna, Spain
Models, analysis and simulations in contact mechanics and epidemiology
Plenary Talk (The PDF of the Talk)
A dynamic model for the friction coefficient
Minisymposium on Mathematical Aspects of Unilateral Contact and Friction
ETAMM 2018- Emerging Trends in Applied Mathematics and Mechanics
June 18-22, 2018, Krakow, Poland The official Page
Contact Problems Involving a 2D Bar
Plenary Talk
27me Seminaire franco-polonais de Mecanique
6–7 June 2019, Besancon, France, The official Page
Modeling and Analysis of Contact Processes
Plenary Talk
Perpignan's Days on Applied Mathematics
13-14 June 2019, Perpignan, France, The official Page
Recent Results on Dynamic Contact, Friction, Heat Exchange and Debonding
Plenary Talk, Polish Congress of Mechanics and International Conference
on Computer methods in Mechanics - PCM_CMM_2019
Krakow, September 8-12 , 2019 The official Page
Models for MERS, Large Scale Violence and the Covid-19 coronavirus epidemic
Oakland University, February 11, 2020
Simulations and Analysis of a Model for the COVID-19 Pandemic and some inequalities in Contact Mechanics,
OU Math and Stat Students, April 9, 2021
Models for Dynamic Contact with Friction, Heat Exchange, and Debonding
The French-Polish Seminar in Mechanics, October 14-15, 2021
On Dynamic Contact, Friction, Heat Exchange and Debonding,
Plenary Talk, 22nd International Mathematics Conference,
the Bangladesh Mathematical Society, December 10-11, 2021
On Dynamic Debonding, Thermal Effects and Contact of a Bar,
Plenary Talk, Contact Mechanics and Relaxation Phenomena,
University of Perpignan, France, June 9, 2022
Modeling and Analysis of Mass-Spring systems with Friction – Detachment Waves,
Journ ́ees Occitanie en Math ́ematiques Appliqu ́ees (JOMA23) Perpignan, France, 9 June 2023.
My Journey in the Mathematical Theory of Contact Mechanics,
Plenary Talk, Nonsmooth Problems with Applications in Mechanics
Bedlewo, Poland, 17-22 June 2023.
Organizer of a Round Table on the Future of the Mathematical Theory of Contact Mechanics in
Nonsmooth Problems with Applications in Mechanics Bedlewo, Poland, 17-22 June 2023.
Modeling and Analysis of Mass-Spring systems with Friction – Detachment Waves
SS-CCSMS at AMMCS-2023 Waterloo, Canada, Aug. 14, 2023.
Mathematical Association of America - MAA
Office: 553 Mathematics and Science Center (MSC)
Email: shillor@oakland.edu
Tel: 248-370-3439
Fax: 248-370-4184
Meir Shillor (shillor@oakland.edu) / September 15, 2023