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.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Jeznach, Cole

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-042618-091800

Advisor

• Larsen, Christopher J.

Year

• 2018

Date created

• 2018-04-26

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright