Mathematical Sciences: Presidential Young Investigator
{'Code': '03040102', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'John V. Ryff', 'PO_EMAI': None, 'PO_PHON': None}
This Presidential Young Investigator Award provides                        support for research in Applied Mathematics.  The general areas                 of work will be partial differential equations, differential                    geometry and Hamiltonian mechanics.  Emphasis will be on                        studies of nonlinear waves, Ginsburg-Landau theory of magnetic                  vortices, sigma-models, wave guided and conformally invariant                   equations (strings).                                                                 Specific objectives will be to analyze the stability of                    infinite dimensional Hamiltonian systems with symmetry groups.                  Related work will be done on conjugating flows of general                       nonlinear evolution equations with corresponding linear flows.                  This theory is well understood in finite dimensions but in the                  infinite dimensional setting (i.e. partial differential                         equations) new difficulties present themselves which are only                   partially understood.                                                                Work is also planned on problems involving complicated                     phenomena of continuum mechanics.  Of particular interest are                   questions related to superconductivity and gauge-invariant                      theories such as understanding magnetic vortices in                             superconductors.  Efforts will be made to understand the                        dynamics of the breakup of strong vortices of high vortex                       number to weak ones.  Also, the asymptotic behavior of                          generalized minimal surface equations on Minkowski space will                   be studied to obtain a better picture of closed strings in the                  conformally invariant field equation of string theory.
{'FirstName': 'Jalal', 'LastName': 'Shatah', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Jalal Shatah', 'EmailAddress': 'shatah@cims.nyu.edu', 'NSF_ID': '000369372', 'StartDate': '10/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'New York University', 'CityName': 'NEW YORK', 'ZipCode': '100121019', 'PhoneNumber': '2129982121', 'StreetAddress': '70 WASHINGTON SQ S', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '10', 'CONGRESS_DISTRICT_ORG': 'NY10', 'ORG_UEI_NUM': 'NX9PXMKW5KW8', 'ORG_LGL_BUS_NAME': 'NEW YORK UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126100', 'Text': 'CLASSICAL ANALYSIS'}
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