Colloquium

Speaker: | (Cancelled) Prof. Ya-Guang WANG (Shanghai Jiao Tong University) |

Title: | Stability of Prandtl Boundary Layers |

Time: | 2015-10-01 (Thu.) 15:00 - 16:00 |

Place: | Auditorium, 6 Floor, Institute of Mathematics (NTU Campus) |

Abstract: | In this talk, we shall survey our recent study on the stability of the Prandtl boundary layers in small viscosity limit of the incompressible viscous flow near a physical boundary. Both of the two dimensional and three dimensional problems will be investigated. We develop an energy approach for the well-posedness of the two-dimensional Prandtl boundary layer equations under the Olineik monotonicity assumption. For the three-dimensional Prandtl equations, we first give an instability criterion on the shear flow, then we obtain a well-posedness result of the three-dimensional nonlinear Prandtl equations for a special flow, which shows that the three-dimensional Prandtl boundary layer is stable if and only if the tangential flow direction in the layer is invariant with respect to the normal variable of the boundary. |

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