Dr. Peter Gordon, Assistant Professor of Mathematics, will present ”Gelfand type problem for two phase porous media” from 2 p.m. – 3 p.m. on Tuesday, October 29, 2013 in the Student Union, Room 312.

We consider a generalization of the Gelfand problem arising in a Frank-Kamenetskii theory of thermal explosion. This generalization is a natural extension of the Gelfand problem to two phase materials, where, in contrast to classical Gelfand problem which utilizes single temperature approach, the state of the system is described by two different temperatures.

We show that similar to classical Gelfand problem the thermal explosion occurs exclusively due to the absence of stationary temperature distribution. We also show that the presence of inter-phase heat exchange delays a thermal explosion. Moreover, we prove that in the limit of infinite heat exchange between phases the problem of thermal explosion in two phase porous media reduces to classical Gelfand problem with renormalized constants.

This is a joint work with Vitaly Moroz ( Swansea University, UK).

**Bring your lunch and show support for one of your colleagues. **

**RSVP Kelly Ruszkiewicz, ORA, by email RschSrvsGA8@uakron.edu.**