Identifiability of the Landau-Ginzburg potential in a mathematical model of shape memory alloys

Abstract

The nonlinear partial differential equations considered here arise from the conservation laws of linear momentum and energy, and describe structural phase transitions in one-dimensional shape memory solids with non-convex Landau-Ginzburg free energy potentials. In this article the theories of analytic semigroups and real interpolation spaces for maximal accretive operators are used to show that the solutions of the model depend continuously on the admissible parameters. Also, we show that the non-physical parameters that define the free energy are identifiable from the model. © 1997 Academic Press.