The conference will take place on the beautiful campus of the University of
Delaware in Newark, Delaware. Meetings will be held in the MBNA America
Hall in the College of Business and Economics. The conference will open
officially at 9.00am June 19 and close at 12.00 pm June 23.
The principal lectures will be given by
Professor Michael Renardy. In addition there will be a number of invited
and contributed talks.
Invited speakers include Professors Lynden Archer (Texas A & M),
Andrea Bertozzi (Duke), L. Pamela Cook (Delaware), Greg Forest
(North Carolina), and Gareth McKinley (MIT).
Established researchers as well as newcomers to the field may attend.
Graduate students, postdoctoral fellows and members of underrepresented
minorties are encouraged to attend.
The Lecturer
Michael Renardy
received the Dr.rer.nat. from the Universitat Stuttgart in 1980.He is a winner of the
Presidential Young Investigator Award 1985 in the area of Applied Mathematics, and winner of the
1993 Virginia Tech Alumni Award for Research Excellence. Examples of his ground-breaking
contributions include existence theorems for initial boundary-value problems, the seminal work
together with D. D. Joseph and J. C. Saut on the change of type of the partial differential equations
governing the flow, his recent contributions toward the understanding of stress singularities and high
Weissenberg number asymptotics, and mathematical modeling which sheds light on the source of
difficulties encountered in numerical simulations. His book, ``Mathematical Theory of Viscoelasticity'',
coauthored with J. A. Nohel and W. Hrusa (1987) was focussed on formulating general mathematical
models and on methods to prove their well-posedness. While the work is meticulous, it is a difficult
subject and a difficult book to read, suitable primarily for researchers already adept in abstract partial
differential equations. During the last decade, Michael Renardy has made significant progress from the
more abstract theory to more concrete applications, and to resolving issues in numerical simulations.
Renardy has already given a number of introductory graduate lectures on the subject of the conference
both at Virginia Tech and overseas, in Germany and Japan.
The Principal Lecturer has written over 160 publications, given over 100 invited lectures, organized
conferences on this topic, and serves on the editorial boards of five journals and the AMS
Mathematical Surveys and Monographs. Recently, he was an invited participant in the six-month
program on ``Dynamics of Complex Fluids'' at the Isaac Newton Institute for Mathematical Sciences,
Cambridge, U.K. He has fostered the growth of this area, which is rich in opportunities to develop and
apply novel results in partial differential equations, which then need to be put into the broader context of
an interdisciplinary approach, touching on numerical simulations and interpretation of experimental
data. The study of flow singularities and instabilities in complex flows, and the desire to understand and
avoid numerical difficulties in studying such flows have moved mathematical issues to the forefront of
interest in the field.
Professor Renardy will give ten lectures.
1. Introduction: experiments and dilemmas.
2. Mathematical formulation
3. Some simple flows
4. Existence theory
5. Numerical methods and difficulties
6. Industrial application I: melt fracture and change of type in partial
differential equations
7. Industrial application II: contraction flows and stress singularities
8. Analysis of stability of viscometric flows.
9. Industrial application III: elongational flows and filaments.
10. Future directions
Support
Funding for this conference has been provided by the NSF. Support is
avaliable to cover local expenses and some travel
expense for about 30
participants. Please contact one of the organizers if you wish to participate
or apply for support.
Prof. David O. Olagunju, Dept. of Mathematical Sciences, University of Delaware,
Newark, DE 19716. email
olagunju@math.udel.edu
Professor Yuriko Renardy, Dept. of Mathematics, Virginia Tech.,
Blacksburg, VA 24060-0123.
email:
renardyy@math.vt.edu
Please include the following information:
Contact information: Name, address, institution, telephone, email address.
A letter of recommendation for graduate students.
Indicate type of support you wish to be considered for: (a) lodging (b) meals
(c) travel.
Social security number (if applying for support).
Applications must be received by April 30, 1999.
The earlier you sent in your application the better your chances of getting
support.
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