New Estimates of the Ginzburg-Landau Order Parameter

Topic: 
New Estimates of the Ginzburg-Landau Order Parameter
Date & Time: 
Thursday, November 8, 2018 - 15:00 to 16:00
Speaker: 
Ayman Kachmar, Lebanese University
Location: 
Room 264, Geography Building, Zhongbei Campus, East China Normal University

Abstract:
This talk addresses the celebrated Ginzburg-Landau model for type II superconductivity. The superconducting properties of a type II superconductor material are encapsulated by a complex-valued wave function, the Ginzburg-Landau order parameter, which minimizes the non-linear Ginzburg-Landau functional. After presenting a short background on the physical aspects of superconductivity, I will discuss a celebrated result by Sandier-Serfaty on the L4-norm of the Ginzburg-Landau order parameter. I will terminate the talk by presenting my joint work with B. Helffer on estimating the L2-norm of the Ginzburg-Landau order parameter.

Biography:
Ayman Kachmar received his BS and MS in mathematics from the Lebanese University. In 2007, he received his Ph.D. degree in mathematics from the University of Paris-Sud. Since 2014, he has been appointed Professor of Mathematics at the Lebanese University. His research interests fall in the field of partial differential equations and mathematical physics.

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Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai