*** IMPORTANT NOTICE ***

If you're taking the DG/PDE seminar for credit, please see the seminar
web page (URL below) or talk to Jack Lee or Hart Smith for information
on obtaining credit.

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                     DIFFERENTIAL GEOMETRY/PDE SEMINAR

                           Monday, October 14

                             Padelford C401
                                3:45 pm

                          Laura Lochhead Rock
                         (University of Texas)


                     A COUPLED SYSTEM OF SEMILINEAR
                  PARABOLIC EQUATIONS WITH HYSTERESIS


A model system is developed for heat conduction in a porous medium with
a fissured structure containing an immobile substance in which there is
a phase change of Stefan type.  After reformulating this as a Cauchy
problem in a product of L^1 spaces, well-posedness of the appropriate
initial-boundary value problem is shown using the Crandall-Liggett
Theorem.


For more information about this seminar, view the Differential Geometry
Seminar World-Wide Web page at 

    https://www.math.washington.edu/~lee/Seminars/dg.html

or from the Seminars, Colloquiua, and Conferences section of the Math
Department home page.


To request disability accommodations, contact the Office of the ADA
Coordinator as soon as possible: 543-6450 (voice); 543-6452 (TDD); 685-3885
(FAX); access@u.washington.edu (E-mail).