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SUMMARY:Anna Mazzucato (Penn State University)
DTSTART:20220120T170000Z
DTEND:20220120T180000Z
DTSTAMP:20260423T021148Z
UID:Inverse/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/70/"
 >An inverse problem in fault detection</a>\nby Anna Mazzucato (Penn State 
 University) as part of International Zoom Inverse Problems Seminar\, UC Ir
 vine\n\n\nAbstract\nI will discuss a model for dislocations in an elastic 
 medium\, modeling faults in the Earth’s crust. The direct problem consis
 ts in solving a non-standard boundary value/interface problem for isotropi
 c linear elasticity with piecewise Lipschitz Lame’ parameters. The inver
 se problem consists in determining the fault surface and slip vector from 
 displacement measurements made at the surface. We prove uniqueness under s
 ome geometric conditions\, using unique continuation results. The results 
 extend to certain anisotropic media in 2 dimensions.\nWe also establish  s
 hape derivative formulas under infinitesimal movements of the fault and ch
 anges in the slip. . This is joint work with Andrea Aspri (Milan Universit
 y)\, Elena Beretta (NYU-Abu Dhabi)\, and Maarten de Hoop (Rice University)
 .\n
LOCATION:https://researchseminars.org/talk/Inverse/70/
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