PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:"A Linear Nonlocal Convection-diffusion Equation"
Seminar:Ph.D. Oral Comprehensive Examination
Speaker:Zhan Huang, Adviser: Qiang Du, Penn State
Abstract Link:http://
Abstract:
We explored a one-dimensional nonlocal linear convection-diffution equation with periodic, Dirichlet and Neumann boundary conditions, from both deterministic and stochastic perspectives. From a deterministic point of view, we show that the nonlocal equation reduces to its local counterpart as the horizon vanishes, and derive properties of the nonlocal solutions such as dispersion relations, maximum principle and conservation law. Stochastically, the solutions of these nonlocal boundary problems are essentially the probability density function of compound piosson processes. And we can formulate the nonlocal boundary conditions by looking at the behaviors of the walkers near the boundary . Our numerical experiments study the effects of convection and diffusion coefficients, the relation between local and nonlocal solutions when horizon is refined, and the effects of periodic, Dirichlet and Neumann boundary conditions.

Room Reservation Information

Room Number:116 Osmond Laboratory
Date:04 / 19 / 2012
Time:10:00am - 12:00pm