derivation and investigation of thermodinamically consistent models

proof of existence, uniqueness, continuous dependence on data, regularity for the corresponding solutions

long-time behaviour of the solutions (existence of the w-limit)

asymptotic analysis for some physical parameter tending to zero

Applications to:

  • smart materials (as shape memory alloys and polymers)
  • phase transitions
  • phase separations
  • hydrogen storage
  • damage (of elastic and (thermo)viscoelastic materials)
  • contact with adhesion
  • collisions and fractures
  • plasticity