Special Session 19: New trends in inverse problems for partial differential equations

Direct and inverse problems for viscoelastic models of dislocations
Anna L Mazzucato
Penn State University
USA
Co-Author(s):    Arum Lee
Abstract:
We discuss both the forward as well as an inverse problem for viscoelastic models of dislocations that represent aseismic, creeping faults. We study a nonlocal linear slip rate-traction model and a nonlinear local slip rate-slip friction model. The inverse problem consists in determining the geometry of the dislocation surface as well as the slip vector from surface displacement measurements. This is joint work with PhD student Arum Lee, and extends prior results, joint work with Andrea Aspri, Elena Beretta, and Maarten de Hoop.