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Research Seminars: Applied and Computational Mathematics


Fall 2017

Time & Location: Typically talks will be on Fridays in Gibson Hall 414 at 3:30 PM.
Organizers: Glatt-Holtz, Nathan and Zhao, Kun


September 15

Linear Stability for 2D Boussinesq Equations

Lizheng Tao | University of California (Host Kun Zhao)


Abstract:

The 2D Boussinesq model is a partial differential equation system that models the incompressible fluid with a gravity driven components, such as temperature and density. Physically, it stands at the center of turbulence theories concerning turbulent thermal convection, like the Raleigh-Bernard convection. Mathematically, the model is also considered an insight into the 3D Navier-Stokes equations. In this talk, we will present some recent result regarding the linear stability of the solutions around the Couette flow. The perturbed solutions shows an exponential decay in the Hilbert norm stronger than the one caused by solo dissipation. This is largely due to the enhanced dissipation property of the Couette flow. The result is achieved by the hypo-coercivity theorem and a set of functionals which are equivalent to the H^s norm.


October 20

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Dr. Changhuir TanRice University

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