Talk by Malgorzata Peszynska (Dept. of Mathematics, Oregon State University)

02/18/2021  3:10-4:00pm  WebEx Meeting

Abstract:  

In mathematical modeling, we call hysteresis the input-output relationship which depends on the input's history in a rate-independent way. Hysteresis is well-known in ferromagnetism but is also important in porous media, phase transitions, mathematical biology, plasticity theory, economic models and more.  This talk will focus on a scalar conservation law modeling gas transport with adsorption hysteresis. We will discuss approximation of the hysteresis functional which combines differential equations under constraints, diophantine approximations, and statistical mechanics; our approach is more practical than, e.g., the well-known Preisach model.  We discuss well-posedness of the model(s), stability of numerical scheme(s), as well as simulation results.  This is joint work with Ralph Showalter and others to be named in the talk.