Is Dispersion a Stabilizing or Destabilizing Mechanism? Landua-Damping in Fast Oscillating Turbulent Overflows | American University of Sharjah
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Events

E.g., 2024-12-13
E.g., 2024-12-13
24
Nov

Is Dispersion a Stabilizing or Destabilizing Mechanism? Landua-Damping in Fast Oscillating Turbulent Overflows (November 2016)

CHM 109, Chemistry Building
November 24, 2016
16:00 - 17:00
Free

The Department of Mathematics and Statistics of the College of Arts and Sciences invites you to attend a seminar to be conducted by Dr. Edriss Titi from the Mathematics Department of Texas A&M University, USA.

Abstract

In this talk I will present a unified approach for the effect of fast rotation and dispersion as an averaging mechanism for, on the one hand, regularizing and stabilizing certain evolution equations, such as the Navier-Stokes and Burgers equations. On the other hand, I will also present some results in which large dispersion acts as a destabilizing mechanism for the long-time dynamics of certain dissipative evolution equations, such as the Kuramoto-Sivashinsky equation. In addition, I will present some new results concerning two- and three-dimensional turbulent flows with high Reynolds numbers in periodic domains, which exhibit "Landua-damping" mechanism due to large spatial average in the initial data.

For more information, please contact [email protected].

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