Stability and optimal control of thermomechanical processes with non‐convex free energies of Ginzburg–Landau type

DOI10.1002/mma.1670110508zbMath0682.49005OpenAlexW2141432653MaRDI QIDQ4731719

Juergen Sprekels

Publication date: 1989

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670110508

zbMATH Keywords

hysteresisstructural phase transitionsHelmholtz free energy densityGinzburg- Laudau form

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Partial differential equations of mathematical physics and other areas of application (35Q99) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (4)

Global existence for a three-dimensional model for the thermo-mechanical evolution of shape memory alloys ⋮ Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys ⋮ Global existence for a second-order thermo-mechanical model of shape memory alloys ⋮ Convergent numerical approximations of the thermomechanical phase transitions in shape memory alloys

Cites Work

• Unnamed Item

This page was built for publication: Stability and optimal control of thermomechanical processes with non‐convex free energies of Ginzburg–Landau type