Archive : Hallenbeck Grad Student Seminar

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Teddy Mishura, University of Delaware184Teddy Mishura, University of DelawareEwing 336<p><span class="wrap-text"><strong>Title:</strong> Graphs: What if they were functions instead?<br><strong>Abstract: </strong>We give background on dense graph limit theory while connecting it to the study of Robinson graphons.</span><br></p>9/15/2021 4:00:00 PM9/15/2021 5:00:00 PM
Mary Gockenbach 183Mary Gockenbach Ewing 336<p>​Title: <span class="wrap-text">Extensional Flow of Nematic Liquid Crystal</span><br></p><p><span class="wrap-text">Abstract: In this talk, we will use multiple scale perturbation methods to construct models for the extensional flow of thin sheets of fluid. We will compare and contrast the case of a Newtonian fluid with that of a liquid crystal fluid, which is non-Newtonian. We will briefly mention the influence of an applied electric field on the liquid crystals. We derive a system of PDEs for the sheet thickness and the axial velocity. Discretizing the PDEs in space results in a differential-algebraic system. We solve this system numerically, and show sample numerical results. <br>This talk is based on the paper “Extensional flow of nematic liquid crystal under electric field gradient,” by L.J. Cumming, T.G. Myers, and J.Low. <em>European Journal of Applied Mathematics</em> 25.4 (2014): 397-423.</span><br></p>9/8/2021 4:00:00 PM9/8/2021 5:00:00 PM
TBA174TBAZoom: https://udel.zoom.us/j/93317448538 <br>Title: TBA <br> <br>Abstract: TBA <br> 10/7/2020 3:00:00 PM12/2/2020 5:00:00 PM
Speaker: Himanshu Gupta178Speaker: Himanshu GuptaZoom: https://udel.zoom.us/j/93317448538 <br>Title: The smallest eigenvalues of Graphs<br> <br>Abstract: In this talk, we see the various connections of the structural properties of graph with its eigenvalues. We are interested in the smallest and the second-largest eigenvalues. In 2018, Brouwer, Cioaba, Ihringer, and McGinnis proved a conjecture by Van Dam and Sotirov on the smallest eigenvalue of (distance-j) Hamming graphs and a conjecture by Karloff on the smallest eigenvalue of (distance-j) Johnson graphs. These authors also started investigating the smallest eigenvalue of Grassmann and Bilinear graphs. I will talk about the conjectures by Brouwer, Cioaba, Ihringer, and McGinnis on the eigenvalues of Grassmann and Bilinear graphs and the progress we have made so far.<br> 11/4/2020 4:00:00 PM11/4/2020 5:00:00 PM

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