broadcast in Room 515, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館515教室直播/收播)
On Strong Convergence of an Elliptic Regularization with the Neumann Boundary Condition Applied to a Boundary Value Problem of a Stationary Advection Equation
Daisuke Kawagoe (Kyoto University)
Abstract
We consider a boundary value problem of a stationary advection equation with the homogeneous inflow boundary condition in a bounded domain with Lipschitz boundary, and consider its perturbation with respect to the Laplacian with a small positive parameter 
. In this talk we show 
strong convergence of the perturbed solutions to the original solution in the domain and on a part of the boundary as the parameter 
tends to 0, and discuss its convergence rates assuming that the original solution has 
or 
regularity. A key observation is that the convergence rate depends not only on the regularity of the original solution but also on a relation between the boundary and the advection vector field. This talk is based on a joint work with Masaki Imagawa.
WebEx Link:
Meeting number (access code): 2511 524 3526
Meeting password: J9UgWrHYn43
