For inquiries concerning the seminar send email to Jacek Szmigielski, szmigiel@math.usask.ca.

The seminar takes place in McLean Hall rm 242.1 on Wednesdays at 3:00 till 4:00 unless advertised differently.

* APPLIED MATHEMATICS/ MATHEMATICAL PHYSICS SEMINAR 2007-2008
(sponsored by MITACS) *

**Next meetings**: August 11, 2011,

** Previous meetings **:
July 7, 2011,
June 30, 2011,
May 20, 2011,
April 20, 2011,
March 25, 2011,
March 23, 2011,
March 14, 2011,
March 3, 2011,
February 15, 2011,
February 4, 2011,
February 2, 2011,
November 24, 2010,
November 17, 2010,
November 10, 2010,
November 4, 2010,
November 3, 2010,
November 2, 2010,
September 23, 2010,
September 9, 2010,

** Place: McLean Hall 242.1 **

** Time: 3:00 **

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Title: Mathematical Analysis of dynamics of Chlamydia trachomatis
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About The Speaker: Dr. Oluwaseun Sharomi received his Ph.D. in Mathematics from the University of Manitoba in 2010. In 2002/2003, he was awarded the United Bank Africa Prize, the LYNX Club Abeokuta Prize, the Professor Ishola Adamson Prize, and the University Prize for the Best Graduating Student in the Department of Mathematical Sciences, University of Agriculture, Abeokuta, Ogun State, Nigeria. His research interests include: mathematical modeling, analysis, and numerical methods for the spread of infectious diseases.

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** Place: McLean Hall 242.1 **

** Time: 3:00 **

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Title: Propagating Uncertainties in Modeling Nonlinear Dynamic Systems
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** Place: Arts 134 **

** Time: 4:00 **

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Title: Optimal Estimation of Quantum Signals in the Presence of Symmetry
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About the speaker: Dr Chiribella was, just recently, awarded the Hermann Weyl Prize at the 28th International Colloquium on Group Theoretical Methods in Physics, Northumbria University, Newcastle upon Tyne, UK, July 2010.

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** Place: McLean Hall 242.1 **

** Time: 3:30 **

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Title:Quantum measurement theory: from quantum states to quantum networks
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** Place: Arts 134 **

** Time: 4:00 **

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Title: An Asympotic Analysis of Localized Solutions to Some Diffusive and Reaction-Diffusion Systems
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** Place: McLean Hall 242.1 **

** Time: 3:00-4:00 pm **

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Title: Renormalization group approach to singular perturbation theory for nonlinear PDEs.
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I discuss the rigorous application of the renormalization group method to (singular) perturbation theory for nonlinear partial differential equations. As a paradigm, I consider the concrete example of the nonlinear Schrodinger equation with quadratic nonlinearity in three spatial dimensions. I show how to obtain an approximate solution using the RG method together with an estimate of the difference between the true and approximate solutions. The analysis applies to differential equations where (space-time) resonances are present.

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** Place: McLean Hall 242.1 **

** Time: 3:00-4:00 pm **

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Title: Transport, freezing and melting in mushy layers
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Mushy layers consist of a porous medium in which the solid matrix and interstitial liquid are close to thermodynamic equilibrium. Mass can be transferred between the solid and liquid by melting and freezing. Mushy layers are found in nature in magma chambers and sea ice and have been postulated to occur at the Earth's inner-core outer core, and outer-core mantle boundaries. They are also found in industrial settings including metal castings. In this talk, I will compare transport processes in mushy layers with those in non-reactive porous media and give expressions for effective transport velocities and diffusion coefficients and look at the degree of phase change that occurs for given system parameters. Some numerical simulations for a mushy system in which natural convection occurs will also shown and discussed.

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** Place: McLean Hall 242.1 **

** Time: 3:00 **

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Title: Domain decomposition for solving PDEs using RBF collocation methods
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** Place: McLean Hall 242.1 **

** Time: 2:30-4:00 pm **

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Title: Stiffness analysis of cardiac cell models
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** Place: Arts 217 **

** Time: 4:00-5:00 pm **

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Title: Waves and wave interactions: a paradigm in ocean waves
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** Place: Arts 217 **

** Time: 3:30-4:30 pm **

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Title: Towards the Construction of Bosonic Many-body Models
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(i) the physical systems,

(ii) one way Physicists formulate the models in question,

(iii) why the models are expected to exhibit some very interesting behaviour,

(iv) why the models can be expected to be very difficult to deal with mathematically rigorously, and

(v) the first steps in a programme to construct the models mathematically rigorously.

This is joint work with Tadeusz Balaban of Rutgers University and Horst Knoerrer and Eugene Trubowitz of the ETH-Zurich.

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** Place: Arts 263 **

** Time: 3:30-4:30 pm **

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Title: Branched polymers and Mayer expansions
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** Prof. Andrea Bertozzi,
University of California, Los Angeles, CA, USA
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** Place:Arts 217 **

** Time: 3:30 pm **

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Title: Swarming by nature and by design
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About The Speaker

Andrea Bertozzi is a mathematician who is known for her interdisciplinary work with computer scientists, physicists, and engineers. Much of her work has, in one way or another, examined the behavior of thin liquid films on hard surfaces. In tandem with physicists and engineers, she has worked at the Argonne National Laboratory and at Duke University constructing mathematical models that explain this and other physical phenomena. Born in 1965, in Boston, Massachusetts, to William and Norma Bertozzi, Andrea was encouraged by both of her parents to study and attend university. Her father, a professor of physics at the Massachusetts Institute of Technology, encouraged her to pursue her interest in the sciences. In 1991, she married Bradley Koetje, a management consultant. Bertozzi knew from an early age that she was interested in mathematics. Even in the first grade, she was captivated by the rudimentary math that was being taught and pushed to learn more. By high school, she had begun to learn advanced math and was concentrating on theory and abstract concepts, which she found to be the most interesting part of mathematics. After graduating from high school in Lexington, Massachusetts, in 1983, Bertozzi enrolled in Princeton University to study mathematics. She also studied a considerable amount of physics, although she took no degree in that subject. She earned her B.A. in math in 1987 and remained at Princeton to complete an M.S. in 1988 and a Ph.D. in 1991. After completing her Ph.D., Bertozzi took a position as L. E. Dickson Instructor of Mathematics at the University of Chicago. At Chicago, Bertozzi first became interested in the mathematics of thin films. She began working with a group of physicists who were studying mathematical models that described the behavior of phenomena that were similar to thin films. Gradually, the problem centered specifically on a mathematical description of liquids flowing on a solid surface. This was an area of mathematics that had not received much attention but had been researched by physicists since the 1960s. Bertozzi remained at the University of Chicago until 1995 when she was offered the position of associate professor at Duke University in Durham, North Carolina. Then during 1995-96, she worked at the Argonne National Laboratory, located outside of Chicago in Argonne, Illinois. Here, as a MARIA GOEPPERT MAYER Distinguished Scholar, she continued her work in the field of scientific computing, which she had begun at the University of Chicago. The purpose of scientific computing is to create computer models that simulate physical processes on the computer. In this way, virtual experiments that can mimic actual physical conditions are created. At Argonne, Bertozzi continued her study of the mathematical-physical properties of thin liquids on dry surfaces. This problem, which seems relatively simple, is actually complicated. A liquid applied to a dry surface will not spread evenly but will pool and spread onto the surface in fingerlike rivulets. Bertozzi worked on a set of partial differential equations, also called evolution equations because this kind of math describes an event occurring over time, that fit a model for film-coating behavior into mathematical terms. This work, although basic research, may someday be helpful for industries such as the microchip-manufacturing sector, which needs to understand this coating process in making their complicated and delicate product. After her year at the Argonne Lab, Bertozzi returned to her job as associate professor of mathematics at Duke University in 1996. In 1998, she became associate professor of mathematics and physics, and in 1999, she became a full professor in both disciplines. Currently, she is director of Duke’s Center for Nonlinear and Complex Systems, an interdisciplinary research center that includes scientists from the disciplines of math, biology, engineering, medical sciences, and environmental studies. In addition to her studies of thin films on hard surfaces, Bertozzi works in more general problems of fluid dynamics. Bertozzi was recognized for her work by the Sloan Foundation, which awarded her a research fellowship in 1995. In 1996, she was presented the Presidential Early Career Award for Scientists and Engineers by the U.S. Office of Naval Research. Cambridge University Press published her book, coauthored with Andrew Majda, Vorticity and Incompressible Flow, in 2000.

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** Dr. Feride Tiglay
Fields Institute, Toronto, ON
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** Place:MCLH 242.1 **

** Time:4:00 pm **

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Title: Integrable evolution equations on spaces of tensor densities and
their peakon solutions
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** Dr. Feride Tiglay
Fields Institute, Toronto, ON
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** Place:MCLH 242.1 **

** Time: 2:30 pm **

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Title: The Periodic Cauchy Problem for Novikov's Equation
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** Speaker: Marco Merkli (Memorial University)
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** Place: McLean 242.2 **

** Time: 3:00 pm **

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Title: Quantum Scattering Measurement
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** Speaker: Calin Atanasiu (EURATOM MEdC Association, Bucharest and Max-Planck Institut für Plasmaphysik, Garching bei Munich, Germany)
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** Place: McLean 242.1 **

** Time: 2:00 pm **

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Title: Special aspects of MHD calculations in tokamaks
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Speaker: Prof. Jean-Francois Ganghoffer, LEMTA, Nancy University, France
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** Place: McLean 242.1 **

** Time: 11:00 am **

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Title: Mechanics and thermodynamics of surface growth. Application to bone remodeling
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** Speaker: Ahmed Kaffel, Postdoctoral Fellow, Department of Computer Science, University of Saskatchewan
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** Place: McLean 242.1 **

** Time: 2:00 pm **

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Title: On the Stability of plane viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers
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** Speaker: Professor Abba Gumel, Department of Mathematics, University of Manitoba.
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** Place: McLean 242.1 **

** Time: 2:00 pm **

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Title: Dynamically consistent finite-difference methods for differential equations
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Biodata: Abba Gumel is a Professor of Mathematics at the University of Manitoba. His research work is based on the design and analysis (qualitative and quantitative) of models for the spread and control of emerging and re-emerging diseases of public health significance. His homepage is
http://home.cc.umanitoba.ca/~gumelab.
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