Mathematical Sciences: Dynamics of Galaxies/Order and Chaos
{'Code': '03040101', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Alan Izenman'}
This proposal will study the dynamics of galactic disks as                 nonlinear dynamical systems using the modal approach.  To                       assure that the modal approach is realistic and viable, a study                 will be made of the spiral structure of selected galaxies.                      Thus, the theory will first be applied to the galaxy M81 and                    the Milky Way for which observational data are already                          available and certain preliminary studies of spiral modes have                  also been carried out.  Next, the nonlinear interactions of the                 mildly unstable modes associated with a two-component basic                     equilibrium state (consisting of stars and interstellar gas)                    will be considered.  This process is expected to be greatly                     influenced by the gaseous component whose strong nonlinear                      response, and self-gravitating and dissipative character would                  tend to stabilize the spiral structure.  Finally analytical                     studies will be made of the various physical processes after                    these processes have been formulated for mathematical treatment.
[{'FirstName': 'Chia-Chia', 'LastName': 'Lin', 'EmailAddress': None, 'StartDate': '12/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'David', 'LastName': 'Benney', 'EmailAddress': None, 'StartDate': '12/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'Massachusetts Institute of Technology', 'CityName': 'Cambridge', 'ZipCode': '021394301', 'PhoneNumber': '6172531000', 'StreetAddress': '77 MASSACHUSETTS AVE', 'CountryName': 'United States', 'StateName': 'Massachusetts', 'StateCode': 'MA'}
{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8815984.xml'}