✦ LIBER ✦
Stability and optimal control of thermomechanical processes with non-convex free energies of Ginzburg–Landau type
✍ Scribed by Jürgen Sprekels; B. Brosowski
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 345 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
Communicated by B. Brosowski
In this paper we study a coupled non-linear system of partial differential equations that models the dynamics of structural phase transitions in a onedimensional non-viscous and heat-conducting solid. The corresponding Helmholtz free energy density is assumed in Ginzburg-Landau form; to allow for phase transitions and hysteresis phenomena, it is not assumed convex in the order parameter. It is shown that the solution of the system depends continuously upon the data, and we prove an existence result for an associated optimal control problem.