Analysis and PDE Seminar

Title:  On the ground state of the magnetic Laplacian in corner domains

Abstract:  I will present recent results about the first eigenvalue of the magnetic Laplacian in general 3D-corner domains with Neumann boundary condition in the semi-classical limit.  The use of singular chains show that the asymptotics of the first eigenvalue is governed by a hierarchy of model problems on the tangent cones of the domain. We provide estimations of the remainder depending on the geometry and the variations of the magnetic field. This is a joint work with V. Bonnaillie-Nol and M. Dauge.

 

 

Date:
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Location:
745 Patterson Office Tower

When The Levee Breaks: Derek Sawyer's Research Goes To Great Depths

For most Americans, levees are man-made engineering projects, rarely mentioned outside of the flooding that follows disasters like Hurricane Katrina.However, recent research conducted by Earth and Environmental Science (EES) Assistant Professor Derek Sawyer published in the journal “Geology” sheds new light on levees most of us never see – those built naturally by underwater rivers deep below the ocean’s surface.
Pioneer Natural Resources Stratigraphy and Paleo-environments Lab Opens
The Department of Earth and Environmental Sciences formally opened the Pioneer Natural Resources Stratigraphy and Paleo-environments Laboratory on Friday, Feb. 14.
jcho222

Analysis and PDE Seminar

Title:  Compressible Navier-Stokes equations with temperature dependent dissipation

Abstract:  From its physical origin, the viscosity and heat conductivity coe!cients in compressible fluids depend on absolute temperature through power laws. The mathematical theory on the well-posedness and regularity on this setting is widely open. I will report some recent progress on this direction, with emphasis on the lower bound of temperature, and global existence of solutions in one or multiple dimensions. The relation between thermodynamics laws and Naiver-Stokes equations will also be discussed. This talk is based on joint works with Weizhe Zhang.

Date:
-
Location:
745 Patterson Office Tower
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