Mathematical Sciences: Traveling Wave Solutions of Reaction Diffusion Systems
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Reaction-diffusion equations arise as models in many areas of           Mathematical Biology and Chemistry.  A feature common to many of these          systems is the existence of traveling wave solutions.  These                    correspond to solutions which appear to be traveling with constant shape        and velocity.  The objective of this project is to develop new                  techniques for proving the existence and stability of traveling wave            solutions.                                                                              There are two basic steps in the program outlined in this               project. The first consists of developing general methods for proving           the existence and stability of traveling wave solutions.  A basic               ingredient for these methods is the Conley index, a relatively recent           tool developed by the late Professor Charles Conley in 1977-1978.  The          second part consists of applications of the basic theory.  Specific             applications to be considered are the existence and stability of                traveling wave solutions arising from ecology and combustion, and the           existence of radially symmetric solutions of semilinear elliptic                systems.  This last problem is closely related to the question of the           existence of traveling wave solutions.                                                  The project presented by Professor Terman contains several sub-         projects related to various potential connections of this mathematical          theory to other scientific problems.  Professor Terman is a young               talented mathematician who has already established his leading                  position in this area of research.
{'FirstName': 'David', 'LastName': 'Terman', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'David Terman', 'EmailAddress': 'terman@math.ohio-state.edu', 'NSF_ID': '000271815', 'StartDate': '06/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
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