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Research Seminars: Applied and Computational Mathematics


Past: Applied and Computational Mathematics

Time & Location: Typically talks will be on Tuesday in Gibson Hall 325 at 3:00 PM.
Organizers: Glatt-Holtz, Nathan and Zhao, Kun

Summer 2019


May 27

Stability of Periodic Solutions to Hamiltonian PDEs

Olga TrichtchenkoWestern University Canada

Abstract: This talk will focus on spectral stability of small-amplitude, periodic solutions to Hamiltonian, dispersive partial differential equations. In particular, it has been shown in the past that periodic travelling wave solutions to the full Euler equations describing inviscid, incompressible fluid flow, exhibit high frequency instabilities. However, some simpler model equations frequently used, do not. We will examine the nature of these instabilities, how they arise, and present a general condition for instability. In special cases, this condition reduces to considering the interval in which there are roots of a polynomial half the degree of the polynomial describing the dispersion relation. We will illustrate the method for computing spectral stability by considering solutions to the Korteweg-de Vries, Kawahara, Whitham and Boussinesq-Whitham equations.

Location:  Gibson Hall 325

Time: 3:00


Fall 2019

 

Time & Location: Typically talks will be on Fridays in TBA at TBA PM.
Organizers: Glatt-Holtz, Nathan and Zhao, Kun

August 30

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September 6

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September 13

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September 20

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September 27

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October 4

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Mouhamadou Syuniversity of Virginia

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October 11

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October 18

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October 25

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November 1

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November 8

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November 15

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November 22

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November 29

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December 6

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Mathematics Department, 424 Gibson Hall, New Orleans, LA 70118 504-865-5727 math@math.tulane.edu