Mathematical Sciences: Nonlinear Problems in Classical      Electromagnetic Theory
{'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}
8823037                                                                         Bloom                                                                                This proposal is for a continuation of work on models of                   wave propagation in nonlinear dielectric media and on problems                  associated with the behavior of nonlinear transmission lines.                   The mathematical formulations involve partial differential                      equations in one and several dimensions of both hyperbolic and                  mixed type; the interest is in establishing results on the                      local and global existence of solutions to Cauchy and                           initial-boundary value problems, as well as results on the                      asymptotic behavior of solutions.  Also considered are the                      related problems of breakdown of smooth solutions, shock                        formation, and the existence of shock surfaces.  Many of the                    models presented are new (e.g., wave propagation in a nonlinear                 superconducting media and the multidimensional wave propagation                 problems in dielectrics with nontrivial conductivity) and                       several lead to problems in which a physical parameter tends to                 zero.
{'FirstName': 'Frederick', 'LastName': 'Bloom', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Frederick Bloom', 'EmailAddress': 'bloom@math.niu.edu', 'NSF_ID': '000184006', 'StartDate': '06/15/1989', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Northern Illinois University', 'CityName': 'DEKALB', 'ZipCode': '601152828', 'PhoneNumber': '8157531581', 'StreetAddress': '1425 W LINCOLN HWY', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '16', 'CONGRESS_DISTRICT_ORG': 'IL16', 'ORG_UEI_NUM': 'M2EEE68GGCY9', 'ORG_LGL_BUS_NAME': 'NORTHERN ILLINOIS UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8823037.xml'}