Mathematical Sciences: The Mathematics of Thermal Explosion Phenomena
{'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}
This research is focused on a mathematical analysis of                     models arising from the study of reactive thermal explosions.                   Initial value problems that describe the evolution of diffusive                 and nondiffusive thermal explosions in confined domains will be                 analyzed.  Also of interest is the prediction of exactly when                   thermal explosions will occur, the location in the confined                     vessel where hotspots will develop, and a description of                        precisely how the blowup singularities evolve as the blowup time                is approached.                                                                       The mathematical models which describe these problems are                  partial differential equations with mixed parabolic-hyperbolic                  behavior.  These models include the interaction between chemical                processes and the the induced gasdynamic phenomena.  An                         understanding of this interaction is needed if progress is to be                made on ignition explosions, high speed deflagrations,                          detonations, and the transition of flames to detonations.  These                topics are vital in the study of accidental explosions.
{'FirstName': 'Mark', 'LastName': 'Ablowitz', 'PI_MID_INIT': 'J', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Mark J Ablowitz', 'EmailAddress': 'mark.ablowitz@colorado.edu', 'NSF_ID': '000168824', 'StartDate': '05/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Colorado at Boulder', 'CityName': 'Boulder', 'ZipCode': '803090001', 'PhoneNumber': '3034926221', 'StreetAddress': '3100 MARINE ST', 'StreetAddress2': 'STE 481 572 UCB', 'CountryName': 'United States', 'StateName': 'Colorado', 'StateCode': 'CO', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'CO02', 'ORG_UEI_NUM': 'SPVKK1RC2MZ3', 'ORG_LGL_BUS_NAME': 'THE REGENTS OF THE UNIVERSITY OF COLORADO', 'ORG_PRNT_UEI_NUM': None}
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[{'Code': '126100', 'Text': 'CLASSICAL ANALYSIS'}, {'Code': '126600', 'Text': 'APPLIED MATHEMATICS'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8802201.xml'}