Global existence for a second-order thermo-mechanical model of shape memory alloys

DOI10.1016/0022-247X(92)90181-CzbMath0766.73012MaRDI QIDQ1206875

Pierluigi Colli

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemvariational inequalitya priori estimatesfree energystructural phase transitionsequilibrium equations

Mathematics Subject Classification ID

Related Items (5)

Global existence for the three-dimensional Frémond model of shape memory alloys ⋮ Global existence for a three-dimensional model for the thermo-mechanical evolution of shape memory alloys ⋮ Structure result for steady-state solutions of a one-dimensional Frémond model of SMA ⋮ Global solution to a Frémond model for shape memory alloys with thermal memory ⋮ Positivity of temperature in the general Frémond model for shape memory alloys

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• Stability and optimal control of thermomechanical processes with non‐convex free energies of Ginzburg–Landau type
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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