For more information about this meeting, contact Tianyou Zhang.
|Title:||Analysis of mixed elliptic and parabolic boundary layers with corners|
|Seminar:||Hyperbolic and Mixed Type PDEs Seminar|
|Speaker:||Gung-Min Gie, University of Indiana|
|We study the asymptotic behavier at small diffusivity of the solutions to a convection-diffusion equation in a rectangular domain. The diffusive equation is supplemented with a Dirichlet boundary condition, which is smooth along each edge, but only continuous at the corners. To resolve the discrepancy between the diffusive and corresponding limit solutions, we construct an asymptotic expansion of the diffusive solution at any arbitrary, but fixed, order with respect to the small diffusivity parameter. Here, to manage some singular effects near the corners, the so-called elliptic and ordinary corner correctors are added in the asymptotic expansions as well as the parabolic and classical boundary layer functions. The validity of our asymptotic expansions is established in suitable Sobolev spaces.|
Room Reservation Information
|Date:||04 / 01 / 2014|
|Time:||10:00am - 10:50am|