Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
FD2 Reunion Seminar: Interactive Boundary Layer Theory
The main aim of this talk is to give a mathematical justification for the interactive boundary layer theory.
In the first part of the talk, we shall discuss the behavior of the Navier-Stokes solutions for a high Reynolds number flow interacting with a boundary. One usually introduces the boundary layer and the Prandtl equations to describe these flows. A rigorous mathematical justification of this setting has been given in the analytic setting.
However, the Euler–Prandtl matching does not allow the interaction between the Boundary Layer and the outer flow: this imposes severe limitations on the theory, ultimately leading to the lack of a sound description of the transition phenomena occurring close to the boundary.
In the second part of the talk, we shall describe a different asymptotic approach that can overcome the above-described difficulties. The well-posedness of the resulting equations in the analytic setting is the main result of the talk.
Meeting ID: 998 5718 9855
Passcode: 983468
Link: https://msri.zoom.us/j/99857189855?pwd=LzRFR2tPN1cydWJNZEZkclZGV2lpQT09
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