Larsen, Christopher J.
This project investigates some problems associated with solutions of the wave equation on time dependent domains, a problem whose solution is relevant to modelling crack propagation in materials. Mainly, the use of bijective transformations from varying domains to a fixed domain complicate the PDE, and the relationship between the behavior of the solution to the original equation and the transformed solution becomes difficult to pin down. Despite these issues, uniqueness of a solution to the problem can still sometimes be proved.
Worcester Polytechnic Institute
Major Qualifying Project
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