BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Anna Mazzucato (Penn State) DTSTART:20210603T130000Z DTEND:20210603T140000Z DTSTAMP:20260423T021303Z UID:SNPDEA/30 DESCRIPTION:Title: Direct and inverse problems for a model of dislocations in geophysics\ nby Anna Mazzucato (Penn State) as part of "Partial Differential Equations and Applications" Webinar\n\n\nAbstract\nI will discuss a model for dislo cations in an elastic medium\, modeling faults in the Earth's crust. The d irect problem consists in solving a non-standard boundary value/interface problem for isotropic\, in-homogeneous linear elasticity with piecewise Li pschitz Lame' parameters\, for which we prove well-posedness and a double- layer potential representation for the solution if the coefficients jumps only along the fault. The non-linear inverse problem consists in determini ng the fault surface and slip vector from displacement measurements made a t the surface. We prove uniqueness under some geometric conditions\, using unique continuation results for systems.\nWe also establish shape deriva tive formulas under infinitesimal movements of the fault and changes in th e slip. The application of the inverse problem is in fault monitoring and microseismicity. This is joint work with Andrea Aspri (Pavia University)\ , Elena Beretta (Politechnico\, Milan & NYU-Abu Dhabi)\, and Maarten de Ho op (Rice).\n LOCATION:https://researchseminars.org/talk/SNPDEA/30/ END:VEVENT END:VCALENDAR