Room 515, Cosmology Building, National Taiwan University + Cisco WebEx, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Cisco WebEx)
Validity of Prandtl’s Boundary Layer from the Boltzmann Theory
Trinh Nguyen (University of Wisconsin–Madison)
Abstract
We justify Prandtl equations and higher order Prandtl expansion from the hydrodynamic limit of the Boltzmann equations. Our fluid data is of the form shear flow, plus small order term in analytic spaces. This work is the first to rigorously justify the Prandtl equations from the hydrodynamic limits of the Boltzmann equations. The novelty lies in obtaining estimates for the linearized Boltzmann equation with a diffusive boundary condition around a Prandtl layer shear flow in analytic spaces. The key techniques involve delicate commutator estimates and the use of local conservation law.
Meeting number (access code): 2514 983 6961
Meeting password: YRcxj56jTh2
Organizer: Kung Chien Wu (NCKU)
