Technion - Israel Institute of Technology Department of Mathematics ============================================ PDE AND APPLIED MATHEMATICS SEMINAR ============================================ DATE: February 16, 2010 SPEAKER: Michael Grinfeld, Strathclyde University TITLE: Title: Bistability and stability PLACE: Room 814, Amado Mathematics Building, Technion TIME: 14:30 Abstract: In models of solid-solid phase transitions, one often encounters semilinear and quasilinear parabolic partial differential and integro-differential equations with bistable nonlinearities. The question is, which stationary solutions ("patterns") of these equations are stable in any sense. It turns out that the quasilinear case (considered first by P. Rosenau) and the integro-differential case (popularised in the applied mathematics community by P. Fife) have surprising similarities, both exhibiting a wealth of stable stationary patterns. I will present these models, and will emphasize what still remains to be done. This is joint work with S. Bhowmik, M. Burns, D. Duncan, and G. Lord. For further info: Amy Novick-Cohen amync@tx.technion.ac.il For past and future Applied Math/PDE seminars: http://www.math.technion.ac.il/pde/seminar.html --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Gershon Wolansky Announcement from: Amy Novick-Cohen