13:30 - 14:30, February 27, 2025 (Thursday) 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)
$L_1$ Approach to the Compressible Viscous Fluid Flows in the Half-space Jou-Chun Kuo (Waseda University)
Abstract
This talk is based on a joint work with Professor Emeritus Yoshihiro Shibata (Waseda University).
This talk is devoted to proving the local well-posedness for the Navier-Stokes equations describing the isotropic motion of the compressible viscous fluid flows in the half-space with non-slip boundary conditions. We construct a unique strong solution in the L1 in time and in space maximal regularity class. Here, and where is the space dimension. The approach is by means of the analytic semigroup theory and we use Lagrange transformation in order to eliminate the convection term .