演講公告
新聞標題: ( 2022-09-06 )
演講主題:On strong convergence of an elliptic regularization with the Neumann boundary condition applied to a boundary value problem of a stationary advection equation
主講人:川越大輔教授 (京都大學)
演講日期:2022年9月20日14:00 – 15:00
演講地點:(光復校區) 科學一館223室
摘要內容:
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 $\epsilon$. In this talk we show $L^2$ strong convergence of the perturbed solutions to the original solution in the domain and on a part of the boundary as the parameter $\epsilon$ tends to 0, and discuss its convergence rates assuming that the original solution has $H^1$ or $H^2$ 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.相關檔案:Talk_1110920.pdf
