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Mixed type PDE's and transonic flow.
Student-Run Research Seminar| Speaker: | John Hunter, Mathematics, UC Davis |
| Location: | 693 Kerr |
| Start time: | Wed, Feb 2 2000, 2:10PM |
The type of a PDE determines the kinds of auxillary conditions that lead to well-posed problems. For example, intial value problems for hyperbolic PDE's and boundary value problems for elliptic PDE's. For mixed type PDE's, whose type varies with position, it is not at all obvious what are the appropriate auxillary conditions that lead to well-posed problems. I'll describe some of the basic boundary value problems for mixed type PDE's and their application to transonic flow problems and shock reflection.