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March 2018

Michael Shelley: TBA

March 9 @ 3:00 pm - 4:00 pm
1084 East Hall

New York University/Flatiron Institute

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February 2018

Eric Keaveny: TBA

February 23 @ 3:00 pm - 4:00 pm
1084 East Hall

Imperial College

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Thomas Bothner: The Ising model from 1920 to 2017

February 16 @ 3:00 pm - 4:00 pm
1084 East Hall

Of all the systems in statistical mechanics on which exact calculations have been performed, the two-dimensional Ising model is not only the most thoroughly investigated; it is also the richest and most profound." These are the opening lines in Barry McCoy's and Tai Tsun Wu's classical 1973 monograph and since then several new features of the model have been discovered. In this (semi)-review lecture we will first familiarize ourselves with a few classical aspects of the model: the one-dimensional version,…

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Phil Roe: A new approach to numerical conservation laws

February 9 @ 3:00 pm - 4:00 pm

The numerical solution of hyperbolic conservation laws, either by Finite Volume or Finite Element  methods, rests largely on representing the solution by smooth basis functions within each element, leaving discontinuities at the boundaries. The discontinuities are resolved by solving one-dimensional Riemann problems. The basic idea was introduced by Godunov in 1959, and since then has been accepted as a natural, almost inevitable, approach. In this talk, the representations will be continuous and no Riemann problems will be solved. The emphasis…

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Gino Biondini: Modulational instability and small dispersion limit of nonlinear waves

February 2 @ 3:00 pm - 4:00 pm
1084 East Hall

Fifty years after Zabusky and Kruskal's discovery of solitons, there still remain many fundamental open questions about nonlinear waves. This talk is devoted to two classical problems involving singular asymptotic limits: (i) the nonlinear stage of modulational instability and (ii) the small dispersion limit of (2+1)-dimensional systems. Modulational instability (MI), namely the instability of a constant background to long-wavelength perturbations, is a ubiquitous nonlinear phenomenon discovered in the 1960's. However, a characterization of the nonlinear stage of MI - namely,…

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January 2018

Oleg Zikanov: Extreme magnetoconvection

January 26 @ 3:00 pm - 4:00 pm
1084 East Hall

Extreme magnetoconvection is the thermal convection in an electrically conducting fluid (for example, a liquid metal) that  occurs in the presence of an imposed magnetic field. We analyze this phenomenon computationally with the focus on the case of very strong static fields (the Hartmann number up to 1E4) and strong heating (the Grashof number up to 1E12). Our goals are to understand the nature of the flow and to explore the implications for the design of liquid metal blankets of…

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Tong (Tony) Gao: Biomimetic studies of fluid-structure interaction: self-assembly, collective dynamics, and autonomous machines

January 19 @ 3:00 pm - 4:00 pm
1084 East Hall

New physics and phenomena of how active structures interact with fluids have generated considerable excitement in the past decade. Uncovering physical mechanisms of the reciprocal dynamics in the biological/synthetic active systems often require developing ad-hoc theoretical models and simulation methods. In this talk, I will first discuss multiscale modeling and simulation of a bio-active synthetic fluid made from a microtubule/motor protein assembly. I will illustrate how the local particle-particle interactions lead to self-organization, and manifest themselves as large-scale collective motions…

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Hidden Figures: Bringing Math, Physics, History, and Race to Hollywood -Free Movie Screening, Colloquium & Reception

January 15 @ 1:30 pm - 5:30 pm
1324 East Hall Auditorium, 530 Church Street
Ann Arbor, MI 48109 United States
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Dr. Talitha Washington and Professor Rudy Horne

In January 2017, the movie Hidden Figures was released by 20th Century Fox studios. This movie tells the story of three African-American women mathematicians and engineers (Katherine Johnson, Mary Jackson and Dorothy Vaughan) who would play a pivotal role towards the successful mission of John Glenn’s space-craft orbit around the Earth and the NASA missions to the moon. FREE Movie Screening: Hidden Figures 1:30 PM, Room 1360 East Hall, 530 Church Street, Ann Arbor We will discuss the lives and…

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Fernanda Valdovinos: How can nonlinear dynamics and complex networks help us save our planet?

January 12 @ 3:00 pm - 4:00 pm
1084 East Hall

This seminar will provide the state of the art of how Ecology uses Nonlinear Dynamics and Complex Networks to better understand the rules behind the function of terrestrial, aquatic and marine ecosystems and predict their responses to current and future environmental crises. It will start with a brief overview of the evolution of ecological modelling from linear to nonlinear dynamics and from random to non-random network structures, followed by a description of the cutting-edge nonlinear models of complex ecological networks.…

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Liliana Borcea: Untangling the nonlinearity in inverse scattering using data-driven reduced order models

January 5 @ 3:00 pm - 4:00 pm
1084 East Hall

We discuss an inverse problem for the wave equation, where an array of sensors probes an unknown, heterogeneous medium with pulses and measures the scattered waves. The goal in inversion is to determine from these measurements scattering structures in the medium, modeled mathematically by a reflectivity function. Most imaging methods assume a linear mapping between the unknown reflectivity and the array data. The linearization, known as the Born (single scattering) approximation is not accurate in strongly scattering media, so the reconstruction…

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