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AWM at ICIAM99The Association for Women in Mathematics (AWM), the European Women in Mathematics (EWM) and the Society for Industrial and Applied Mathematics (SIAM) are jointly sponsoring two minisymposia (MS212, MS213) for women researchers at the Fourth International Congress on Industrial and Applied Mathematics (ICIAM99), July 5-9, 1999, Edinburgh, Scotland. Industrial Research SuccessesICIAM'99 Minisymposia MSP-212 Women mathematicians from the U.S., Australia and Europe will describe industrial problems and their solution. Talks will include mathematical modeling, large scale computation and data analysis. Jointly sponsored by the Association for Women in Mathematics (AWM), the European Women in Mathematics (EWM) and the Society for Industrial and Applied Mathematics (SIAM). Date: Tuesday, 6 July 1999 Speakers: (Click on name to see author's abstract and address.)
Research Results By Women Post DocsICIAM'99 Minisymposia MSP-213 Women postdoctoral mathematicians will discuss their applied mathematics research results. (Jointly sponsored by the Association for Women in Mathematics (AWM), the European Women in Mathematics (EWM) and the Society for Industrial and Applied Mathematics (SIAM). Date: Tuesday, 6 July 1999 Speakers: (Click on name to see author's abstract and address.)
Organizers for both Minisymposia
Abstracts For Industrial Research SuccessesICIAM'99 Minisymposia MSP-212 Click on title to return to schedule. "Visualization of models with freeform surfaces" The complexity of models that can visualized or rendered in realtime depends on both the processing speed of the graphics system and the implemented algorithms. As the technology advances, visualization algorithms must be revisited and tailored to the new computing environment. Certain parts of the algorithm may speed up and new bottlenecks created. This talk will discuss the new challenges to visualization algorithms, in particular to the tessellation of freeform surface for subsequent rendering on a graphics workstation. Dr. Rosemary E. ChangSGI Corporate Research & Development M/S 40U-005 2011 North Shoreline Boulevard Mountain View, CA 94043-1389 USA rmary@sgi.com phone: 650-933-3615 Modeling and optimization are staples in industrial applications of mathematics, with an enviable record of helping to solve problems from every conceivable area. The high-tech business of Lucent Technologies provides a rich source of interesting questions that have been studied by researchers from Bell Labs and their business-unit colleagues. This talk will describe three problems from different contexts-wireless systems, protocol verification, and fiber design and then analyze the paths to their solution via modeling and optimization, along with the common features that led to success. Dr. Margaret H. Wright "Mathematics - the invisible achiever" Behind most of the manufactured objects we use every day, there are design considerations and process control issues in production, as well as questions of how the goods should be distributed. Nearly 100 business and industry projects have benefited in the past 14 years from the concentrated application of mathematics and computing at the annual Australian problem-solving workshop, MISG (Mathematics-in-industry Study Group). Some recent projects from the food industry will be discussed. Professor Kerry A. Landman "Evaporation and stress-driven diffusion: a generalised Stefan problem in paint" Industrial mathematics is a hot topic in the Netherlands. The question whether to do industrial mathematics at the university is to be answered in the light of scientific interest (and output), financial resources, attraction for students, and the profile of the department or university. I will discuss an example that is motivated by both scientific and practical interest, coming from the coating industry. The mathematical model, basically describing the evaporation of the solvent in liquid paint, is a generalised stefan problem, analogous to studies in phase transition problems. This model has led to new research questions in the mathematical theory of the (one-phase) free boundary problem. The idea of stress driven diffusion originates from the polymer industry. In the paint application, stress build-up has been observed but a tool for measuring and validating the stress in time, during the drying process, has not been available. The model gives a first guideline for experiments; for the company this involves doing long term research. Professor Barbera W. van de Fliert Abstracts for Research Results by Women Post DocsICIAM'99 Minisymposia MSP-213 Click on title to return to schedule. "Undercompressive shocks in driven film flow" Nonlinear hyperbolic conservation laws have solutions with propagating 'shocks' or discontinuities. Compressive shocks satisfy an `entropy condition' in which characteristics enter the shock on each side. Undercompressive shocks violate this condition. We show that scalar laws with non-convex fluxes and fourth order diffusion have stable undercompressive fronts, yielding such unusual behavior as double shock structures from simple jump (Riemann) initial data. Thermal/gravity driven thin film flow is described by such equations and the signature of undercompressive fronts has been observed in recent experiments. Unlike compressive fronts, undercompressive film fronts are stable to fingering instabilities. Professor Andrea L. Bertozzi "Detecting the chirality of knots and links, with application to chemistry" The topological chirality of a molecule implies its chemical chirality. This is important because a chemically chiral molecule exists as two forms, a left-handed form and a right-handed form, which may exhibit different behaviours. For a knotted or catenated molecule, it is thus very useful to determine whether the underlying knot or link is topologically chiral. We shall present an original method to detect the chirality of knots and links, based on a topological invariant called the nullification writhe [C. Cerf, J. Knot Theory Ramif. 6 (1997) 621]. It is a numerical invariant of alternating links, very simple to compute, yet as powerful as the Jones polynomial as far as chirality detection is concerned. Professor Corinne Cerf "Modeling Cancer Tumor Growth with an Optimal Control Approach to Chemotherapy" In a cooperative effort with clinicians and research oncologists, we have been investigating mathematical models of cancer tumor growth and chemotherapy treatment. Currently, there are in existence an array of such mathematical models, each of which tends to focus on simulating one or two important elements of the multifaceted process of tumor growth and treatment. In an effort to better understand how these various aspects of growth and treatment interact with one another, we have created a new mathematical model of tumor growth which incorporates multiple important elements of the growth process and the effect of their mutual interactions. We make use of basic optimal control to search for chemotherapy treatment protocols which, in theory, are improvements to the standard protocols in use today. This work is being carried out in an active collaboration with Prof. Ami Radunskaya of Pomona College and Dr. Charles Wiseman, head of the Mathematics of Medicine group in the Oncology Institute at St. Vincent's Hospital in Los Angeles. Preliminary results and future directions will be discussed. Professor L.G. de Pillis "Gas flow in thermal nonequilibrium and hyperbolic systems with relaxation" We study gas flow in vibrational nonequilibrium. The model is a 4 x 4 nonlinhyperbolic system with relaxation. Under physical assumptions, properties of thermodynamic variables relevant to stability are obtained, global existence for Cauchy problem with smooth and small data is established, and large time behavior is studied in pointwise sense. We formulate the fundamental solution in a systematic way for a general linear system with relaxation. The fundamental solution provides insights to the behavior of the nonlinear system, and is crucial to obtain our pointwise asymptotic picture. We also clarify the relation between subcharacteristic condition and a dissipative criterion originally proposed for hyperbolic-parabolic systems. Professor Yanni Zeng Copyright ©2005 Association for Women in Mathematics. All rights reserved. |