Ying Wang : Mathematical Analysis and Numerical Methods for the modified Buckley-Leverett equations

Posted by Mimi Dai , part of the Analysis and Applied Mathematics Seminar.

At

Nov. 18, 2019, 4:15 p.m.

In

636 SEO

Abstract

In this talk, I will discuss a new class of entropy solutions of the modified Buckley-Leverett equations, which model underground oil recovery. Analytic study on the computational domain reduction and traveling wave solution stability will be provided. A variety of numerical examples will be given. They show that the solutions may have many different profiles depending on the initial conditions, diffusion parameter, and the third-order mixed derivatives parameter. The results are consistent with the study of traveling wave solutions and their bifurcation diagrams.