Women in Mathematics in Northern Georgia Seminar Series

Event Details
  • Date/Time:
    • Wednesday January 17, 2018 - Wednesday May 2, 2018
      All Day
  • Location: Atlanta, GA
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  • Fee(s):
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Contact

Galyna Livshyts

Summaries

Summary Sentence: We are happy to announce the seminar series Women in Mathematics in Northern Georgia, which shall feature speakers in various areas of mathematics, starting Spring 2018.

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We are happy to announce the seminar series Women in Mathematics in Northern Georgia, which shall feature speakers in various areas of mathematics.

Starting Spring 2018, the seminar will run on a biweekly schedule on Wednesdays at 5 pm, with the refreshments served at 4:30 pm. This semester the talks shall be (tentatively) held at Georgia Tech in Skiles 006, and they shall be intended for a general mathematical audience.

Mathematicians at all stages in their career (and regardless of the gender) are welcome to participate! Information about the seminar can be found at http://pwp.gatech.edu/wiming/

The talks should be very interesting. We look forward to seeing you at the seminar!

The first talk is scheduled to take place on Wednesday, January the 16th, at 5 pm in Skiles 006, located at 636, Cherry st NW, Atlanta, GA. Rachel Kuske of Georgia Institute of Technology shall give a talk titled “New patterns in stochastic PDE’s with Pyragas control”. The abstract is:

We provide a multiple time scales analysis for the Swift-Hohenberg equation with delayed feedback via Pyragas control, focusing on Turing bifurcations with and without additive noise. In the deterministic case, a Ginzburg-Landau-type modulation equation is derived that inherits Pyragas control terms from the original equation. The Eckhaus stability criteria is obtained for the rolls, with the delay driving the appearance of an intermediate time scale observed in the transients. In the stochastic context, slow modulation equations are derived for the amplitudes of the primary modes that are coupled to a fast Ornstein-Uhlenbeck-type equation with delay for the zero mode driven by the additive noise. By deriving an averaging approximation for the amplitude of the primary mode, we show how the interaction of noise and delay influences the existence and stability range for the noisy roll-type patterns. Furthermore, approximations for the spectral densities of the primary and zero modes show that oscillations on the intermediate times scale are sustained through the phenomenon of coherence resonance. These dynamics on the intermediate time scale are sustained through the interaction of noise and delay, in contrast to the deterministic context where dynamics on the intermediate times scale are transient.

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School of Mathematics

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Faculty/Staff, Public, Undergraduate students
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Status
  • Created By: sbarone7
  • Workflow Status: Published
  • Created On: Jan 9, 2018 - 12:08pm
  • Last Updated: Jan 19, 2018 - 5:47pm