We are pleased to announce the third talk in the SIAM PNW Section 2016-17 Seminar Series. See https://sites.google.com/site/siampnwsection/home for more information about the section.
Who: Prof. Ralph Showalter, Mathematics, Oregon State University
When: Thursday, May 4, 3pm (PST)
Where: STAG 160 (for local attendees)
Title: A Pseudo-Parabolic PDE for Compaction of a Sedimentary Basin
Abstract: The porosity of a compacting sedimentary basin satisfies a nonlinear pseudo-parabolic partial differential equation. This equation is distinguished from the classical porous medium equation by a third order term, a degenerate elliptic operator in spatial variables acting on the time derivative of the solution. We describe the derivation of the model equation, review classical results for pseudo-parabolic equations and their relation to parabolic equations, present new existence and regularity results for this nonlinear PDE, and show they are consistent with expected behavior of solutions in this context.
Note: The seminar can be viewed via the online link that will be provided. However, we strongly encourage local attendees to watch it from STAG 160. (Some talks in the series are quite heavily subscribed online there are limitations on the number of available connections).