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SUMMARY:An inverse problem for elastic dislocations - Andrea Aspri (Univer
 sità degli Studi di Milano)
DTSTART:20230622T103000Z
DTEND:20230622T113000Z
UID:TALK200449@talks.cam.ac.uk
DESCRIPTION:In this talk we will discuss a model for elastic dislocations 
 describing faults in the Earth&rsquo\;s crust. We will show how to get the
  well-posedness of the direct problem which consists in solving a boundary
 -transmission value problem in an inhomogeneous linear elastic medium with
  Lipschitz Lam&eacute\; parameters. Mostly we will focus the attention on 
 the uniqueness result for the non-linear inverse problem\, which consists 
 in determining the fault and the slip vector field acting on it from displ
 acement measurements made on a portion of the boundary of the elastic medi
 um. &nbsp\;Uniqueness for the inverse problem follows by means of the uniq
 ue continuation results for systems of partial differential equations and 
 under some geometrical constrains on the fault. This is a joint work with 
 Elena Beretta (NYU &ndash\; Abu Dhabi)\, Anna Mazzucato (Penn State Univer
 sity) and Maarten de Hoop (Rice University).
LOCATION:Seminar Room 1\, Newton Institute
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