Mathematical Sciences: Finite Element Method for Nonlinear  Partial Differential Equations
{'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 project will study the nonlinear fourth order                evolutionary Cahn-Hilliard equation.  A main concern will                       be the development of an appropriate numerical method for                       accurate approximation of solutions of this equation for both one               and two spatial dimensions.  A efficient numerical scheme will be               developed to obtain long time solutions of the two dimensional                  equation.  The possibility of metastable solutions will also be                 analyzed.                                                                            The Cahn Hilliard equation models, among other phenomena,                  phase separation in binary alloys.  The results of the                          research project will find applications in this and other                       related physical problems.
{'FirstName': 'Donald', 'LastName': 'French', 'PI_MID_INIT': 'A', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Donald A French', 'EmailAddress': 'french@ucmail.uc.edu', 'NSF_ID': '000167929', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Carnegie-Mellon University', 'CityName': 'PITTSBURGH', 'ZipCode': '152133815', 'PhoneNumber': '4122688746', 'StreetAddress': '5000 FORBES AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Pennsylvania', 'StateCode': 'PA', 'CONGRESSDISTRICT': '18', 'CONGRESS_DISTRICT_ORG': 'PA18', 'ORG_UEI_NUM': 'U3NKNFLNQ613', 'ORG_LGL_BUS_NAME': 'CARNEGIE MELLON UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'U3NKNFLNQ613'}
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{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
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