Mathematical Sciences: Analytical and Numerical Studies of  Viscoelastic Flows
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{'SignBlockName': 'Alan Izenman', 'PO_EMAI': None, 'PO_PHON': None}
Viscoelastic flows exhibit behavior intermediate to that of                an elastic solid and a viscous fluid.  Although several models of               viscoelastic flows are currently available, these models do not                 accurately describe the flows in all situations of interest.  The               proposed research will involve a comprehensive analysis of the                  mathematical behavior of the equations which govern both steady                 and transient viscoelastic flows.  Classical numerical methods                  for the solutions of differential equations are difficult to                    employ in this problem because of the character of the governing                equations and the nature of the singularities.  Reliable                        numerical methods for viscoelastic flow simulation will be                      developed.  Results may shed light on the validity and                          plausability of the constitutive models used.                                        The future of materials processing will be strongly                        influenced by the ability to simulate viscoelastic flows.  This                 work is concerned with the underpinnings of simulation.
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[{'Code': '126600', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '127100', 'Text': 'COMPUTATIONAL MATHEMATICS'}, {'Code': '144300', 'Text': 'FD-Fluid Dynamics'}, {'Code': '149500', 'Text': 'COMPUTATIONAL ENGINEERING'}, {'Code': '151800', 'Text': 'CONTROL, NETWORKS, & COMP INTE'}]
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