Mathematical Sciences: Nonlinear Partial Differential       Equations
{'Code': '03040101', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Alan Izenman', 'PO_EMAI': None, 'PO_PHON': None}
This research will examine several problems in nonlinear                   partial differential equations.  Vortex methods for simulating                  time-dependent, three-dimensional, incompressible fluid flows                   will be extended.  Model problems of nonlinear evolution, which                 are linearly ill-posed but still have predictable behavior, will                be studied.  The existence of exact solutions of the three-                     dimensional water wave equations representing obliquely                         interacting solitary waves or cnoidal water waves will be                       investigated.                                                                        This research will extend theoretical understanding of                     partial differential equations and advance methodology for their                numerical solution.
{'FirstName': 'J. Thomas', 'LastName': 'Beale', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'J. Thomas Beale', 'EmailAddress': 'beale@math.duke.edu', 'NSF_ID': '000260242', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Duke University', 'CityName': 'DURHAM', 'ZipCode': '277054640', 'PhoneNumber': '9196843030', 'StreetAddress': '2200 W MAIN ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'North Carolina', 'StateCode': 'NC', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'NC04', 'ORG_UEI_NUM': 'TP7EK8DZV6N5', 'ORG_LGL_BUS_NAME': 'DUKE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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[{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
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