Mathematical Sciences: Dynamical Systems Methods in the     Study of One Dimensional Wave Motion
{'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}
One-dimensional wave motion arises in many physical contexts               such as the propagation of nerve impluses and waves through                     optical media.  The waves that are physically relevant are the                  ones which are stable to perturbations in their profile.  It is                 thus of fundamental importance to develop techniques for                        discriminating between stable and unstable waves.  One of the                   main objectives of this work is to develop techniques that will                 apply to travelling waves of systems of reaction-diffusion                      equations that have some singular structure.  The wave is then                  composed of pieces that satisfy reduced equations which can be                  analyzed.  The idea is to build machinery for determining how the               linearization of the full problem at the wave is built up from                  the spectrum of these reduced problems.                                              This project contains also a study of a nonlinear                          Schrodinger equation that arises in nonlinear optics and plasma                 physics.
{'FirstName': 'Christopher', 'LastName': 'Jones', 'PI_MID_INIT': 'K', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Christopher K Jones', 'EmailAddress': 'ckrtj@amath.unc.edu', 'NSF_ID': '000341645', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Maryland, College Park', 'CityName': 'COLLEGE PARK', 'ZipCode': '207425100', 'PhoneNumber': '3014056269', 'StreetAddress': '3112 LEE BUILDING', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Maryland', 'StateCode': 'MD', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'MD04', 'ORG_UEI_NUM': 'NPU8ULVAAS23', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF MARYLAND, COLLEGE PARK', 'ORG_PRNT_UEI_NUM': 'NPU8ULVAAS23'}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
[{'Code': '1261', 'Text': 'CLASSICAL ANALYSIS'}, {'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8801627.xml'}