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NCTS Nonlinear PDE and Analysis Seminar
15:30 - 16:30, September 14, 2022 (Wednesday)
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)


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




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