Tuesday, May 23

Industrial Problems Involving Multiscale Phenomena

10:00 AM-12:00 PM
Room: Constitution

Many industrial problems share the common feature of involving solutions of implicit Partial Differential Equations (iPDEs). Such solutions are spread over a wide range of temporal and spatial scales. Important applications include solutions to nonlinear Hamilton-Jacobi equations, partial differential inclusions and nonconvex optimization problems. The theoretical and computational tools for the study of such equations are in their infancy. In this minisymposium, the speakers will discuss several problems coming from various industrial applications. They will describe novel numerical approaches such as nonconforming adaptive domain decomposition techniques applicable to iPDEs.

Organizers: Petr Kloucek
Rice University, USA
Pierre Alain Gremaud
North Carolina State University, USA
10:00-10:25 On the Instabilities in Electrolysis Due to the Phase Transition of  Multiscale Bubbles at Critical Pressure
Michel Romerio, EPF Lausanne, Switzerland; and Petr Kloucek, Organizer
10:30-10:55 Simulation of Gravity Flow of Granular Material
Pierre Alain Gremaud, Organizer
11:00-11:25 On the Optimal Damping of a Vibrating Shape Memory Alloy Rod
Franz Dieter Fischer, University for Mining and Metallurgy, Austria
11:30-11:55 Nonconforming Domain Decomposition Method Applied to Viscosity      Solutions of Implicit PDE's
Luis A. Melara, Rice University, USA; and Petr Kloucek, Organizer

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