讲座(8月17日)

Date and Time: August 17, 3:00-5:00pm

Room: 1223 New Main Building

 

(1)

Speaker:  Professor  Barbara Keyfitz  (The Ohio State Univ.)

President of the International Council for Industrial and Applied Mathematics (2011-2015)

Director of the Fields Institute (2004 to 2008). 

Title: Linear and Nonlinear Waves in Multidimensional Gas Dynamics Equations 

Abstract: As the community of analysts studying hyperbolic conservation laws continues to make progress on multidimensional problems, largely through the study of self-similar solutions to shock reflection phenomena, one difficulty that emerges is the interaction of nonlinear waves (such as acoustic waves in compressible flow) and linear waves (shear or entropy waves, for example). In recent work with Katarina Jegdic, Suncica Canic and Hao Ying, we have developed an approach that solves a small, local problem.

 

2)

Speaker:  Professor Marty Golubitsky, The Ohio State University

Director of Mathematical Biosciences Institute in US

Former President  of the Society for Industrial and Applied Mathematics (SIAM) (2005-2006)

Title - Patterns of Synchrony: From Animal Gaits to Binocular Rivalry

Abstract:  This talk will review previous work on quadrupedal gaits and recent work on a generalized model for binocular rivalry proposed by Hugh Wilson. Both applications show how rigid phase-shift synchrony in periodic solutions of coupled systems of differential equations can help understand high level collective behavior in the nervous system.

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