Type of Document Dissertation Author Mackin, Gail S. Author's Email Address email@example.com URN etd-72097-132414 Title On an Order-Parameter Model of Solid-Solid Phase Transitions Degree PhD Department Mathematics Advisory Committee
Advisor Name Title Lin, Tao Rossi, John F. Sun, Shu-Ming Yan, Yin Rogers, Robert C. Committee Chair Keywords
- Parabolic PDEs
- Phase Transition
- Order Parameter
Date of Defense 1997-07-28 Availability unrestricted AbstractWe examine a model of solid-solid phase transitions that includes
thermo-elastic effects and an order parameter. The model is derived
as a special case of the Gurtin-Fried model posed in one space
dimension with a symmetric triple-well free energy in which the
relative heights of the wells vary with temperature. We examine the
temperature independent case, showing existence of a unique classical
solution of a regularized system of partial differential equations
using semigroup theory. This is followed by numerical study of a
finite element algorithm for the temperature independent model.
Finally, we present computational material concerning the
temperature dependent model.
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