Abstract

In this paper we report recent results on the asymptotic behaviour of a system of partial differential equations modelling the dynamics of martensitic phase transitions in shape memory alloys. In this model, the free energy is assumed to be in the Landau-Ginzburg form and nonconvex as function of the shear strain (which is the order parameter of the phase transitions), and the material is assumed to be linearly viscous. The system admits a unique global solution; in addition, the orbit is compact in suitable function spaces, and even the existence of a compact maximal attractor can be shown.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.