fguevara (at) math.utah.edu)February 6
Speaker: Justin Kao, Dept. of Earth, Atmospheric, and Planetary Sciences,
Massachusetts Institute of Technology
Title: Inclusions in fluid coating and solidification
Abstract: Fluid coatings occur in a wide variety of situations, from
the manufacture of semiconductors to the foam lacing left behind after drinking
a pint of beer. Sometimes coating uniformity is desirable, but in many cases,
these coatings are heterogeneous, with either defects or deliberate inclusions.
In this talk I examine the deposition of isolated bubbles in Landau-Levich
(dip coating) flow, and the self-assembly of particles in Landau-Levich
flow of a suspension. These phenomena are explained through a combination
of modeling, experiment, and analysis.
Another fluid flow involving inclusions is the capture of foreign
particles during solidification of liquid melts, a problem relevant to
situations such manufacturing of composite materials and cryopreservation
of cells. Particle behavior in this system is governed by a critical,
threshold solidification rate. I describe modeling and numerical
computations of particle capture in pure and binary melts.
February 10 (FRIDAY 4-5pm -- LCB 225 -- joint with Mechanical Engineering)
Speaker: Ole Sigmund, Technical University of Denmark, Dept. of Mechanical Engineering
Title: Topology Optimization with applications in material and wave-propagation problems.
Abstract: The topology optimization method, originally developed for weight-optimal design of automotive and aerospace structures by Bendsøe and Kikuchi (1988), has in recent years become a popular tool for the systematic design of structures and materials in a wide range of physical disciplines. The presentation will give an overview of recent developments within topology optimization and its applications, with special emphasis on extremal material design and wave propagation problems in acoustics and optics.
Topology optimization provides optimal material distributions for various problems that can be modeled using finite element or finite difference analysis. Element or node-wise material densities constitute the design variables and the deterministic optimization procedure consists of repeated (finite element/difference) analysis steps, analytical gradient evaluations and mathematical programming-based design updates. Typically, the method requires a few hundred function evaluations (i.e. finite element analyses) to converge. Recent developments include consideration of manufacturing uncertainties in the optimization process.
The presentation will include studies on the design of extremal materials with negative Poisson's ratios and maximal damping. Furthermore, the presentation will show studies on the manipulation of waves by acoustic and optical cloaks as well as by structured surfaces that change color appearance.
February 13
Speaker: Benjamin Webb, Brigham Young University, Mathematics dept.
Title: Consolidating Information in Dynamcial Networks
Abstract: A major obstacle in understanding the dynamic behaviour of a network is that the information needed to do so is spread throughout the various network components. Because of this it is tempting to find ways of concentrating this information while preserving some fundamental property or features of the system's dynamics. With this in mind we introduce the concept of an isospectral network expansion. The idea behind such expansions is that a network's structure can be modified in a number of ways that preserve the system's dynamics while simultaneously concentrating the network's structural/dynamic information. This method allows us to give improved estimates for determining whether a network exhibits relatively simple dynamics.
February 17 (FRIDAY, LCB 222, 4-5pm)
Speaker: Jianfeng Lu, Courant Institute of Mathematical Sciences, New York University
Title: Metastability and coarse-graining of stochastic systems
Abstract: The study of rare events in physical, chemical and biological
systems are important and challenging due to the huge span of time scales.
Coarse-graining techniques, Markov state models for example, are employed to
reduce the degree of freedom of the system, and hence enables simulation and
understanding of the system on a long time scale. In this talk, we will
introduce a novel construction of Markov state model based on milestoning. We
will focus on the analysis of quality of approximation when the original system
is metastable. The analysis identifies quantitative criteria which enable
automatic identification of metastable sets.
February 27
Speaker: Sarang Joshi, SCI, University of Utah
Title: TBA
Abstract: TBA
March 5
Speaker: Arnold D. Kim, University of California at Merced
Title: TBA
Abstract: TBA
March 7 (Special day and time: Wed 2pm-3pm -- LCB 323)
Speaker: Yiping Ma, University of Chicago, Dept. of Geophysical Sciences
Title: TBA
Abstract: TBA
March 26
Speaker: Yaniv Gur, SCI, University of Utah
Title: TBA
Abstract: TBA
April 16
Speaker: David Fullwood, Brigham Young University, Mechanical Engineering
Title: TBA
Abstract: TBA
January 23
Speaker: Frank Stenger, University of Utah, School of Computing
Title: Solving the Helmholtz Equation for Ultrasonic Tomography
Abstract:
fguevara (at) math.utah.edu).
Past lectures: Fall 2011, Spring 2011, Fall 2010, Spring 2010, Fall 2009, Spring 2009, Fall 2008, Spring 2008, Fall 2007, Spring 2007, Fall 2006, Spring 2006, Fall 2005, Spring 2005, Fall 2004, Spring 2004, Fall 2003, Spring 2003, Fall 2002, Spring 2002, Fall 2001, Spring 2001, Fall 2000, Spring 2000, Fall 1999, Spring 1999, Fall 1998, Spring 1998, Winter 1998, Fall 1997, Spring 1997, Winter 1997, Fall 1996, Spring 1996, Winter 1996, Fall 1995.