[LA-SiGMA-LSU] Fwd: Applied Analysis Seminar Monday, Nov. 18

Bety Rodriguez-Milla brodrig at cct.lsu.edu
Sun Nov 17 16:23:37 CST 2013


Dear All,

This seminar might be of interest to you.

Regards,

-Bety


> Begin forwarded message:
> 
>> From: Yaniv Almog <almog at math.lsu.edu>
>> Subject: Applied Analysis Seminar Monday, Nov. 18
>> Date: November 16, 2013 at 7:53:34 PM CST
>> To: Yaniv Almog <almog at math.lsu.edu>
>> 
>> 
>> Monday, November 18, 2013
>> Applied Analysis Seminar
>> 
>> 3:30 pm Lockett Hall 233
>> Yaniv Almog, Mathematics Department, LSU
>> 
>> Global stability of the normal state of superconductors under the effect of strong electric current
>> 
>> Consider a superconducting wire whose temperature is lower than the critical one. When one flows a sufficiently strong current through the wire, it is well known from experimental observations that the wire becomes resistive, behaving like a normal metal. We prove that the time-dependent Ginzburg-Landau model anticipates this behaviour. We first prove that, for sufficiently strong currents, the semi-group associated with the model, becomes a contraction semi-group. Then, we obtain an upper bound for the critical current where the semi-group becomes stable. We relate this current to the resolvent of the linearized elliptic operator. Joint work with Bernard Helffer
> 


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