Mathematical Sciences: Selection Criteria and Metastable    States for Phase Transitions in Fluids and Solids
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
This research program is concerned with two related                        projects.  One is the selection of equilibrium states of                        a three dimensional, nonlinearly elastic body undergoing                        a phase transformation.  The selection criterion involves                       a singular perturbation problem for a nonconvex functional                      in a variational formulation.  The second is the study of                       the long time behavior of the solutions of the Cahn-Hilliard                    equation which models the phase-separation of binary alloys                     and polymer mixtures that have been rapidly cooled.                                  The results from these two projects are expected to                        have significant impact on engineering mechanics.
{'FirstName': 'E.', 'LastName': 'Zachmanoglou', 'PI_MID_INIT': 'C', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'E. C Zachmanoglou', 'EmailAddress': None, 'NSF_ID': '000149571', 'StartDate': '07/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
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