On Nonlinear Partial Differential Equations of Mixed Type
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Tue, 11/09/2007 16:00 |
Gui-Qiang Chen (Northwestern University, USA) |
Applied Analysis and Mechanics Seminar  |
L1 |
| In this talk we will discuss some recent developments in the study of nonlinear partial differential equations of mixed type, including the mixed parabolic-hyperbolic type and mixed elliptic-hyperbolic type. Examples include nonlinear degenerate diffusion-convection equations and transonic flow equations in fluid mechanics, as well as nonlinear equations of mixed type in a fluid mechanical formulation for isometric embedding problems in differential geometry. Further ideas, trends, and open problems in this direction will be also addressed. | |||