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 Workshop aims
Phase transition phenomena arise in a variety of relevant real world
situations (e.g. melting and freezing in a solid-liquid system,
evaporation, solid-solid phase transitions in shape memory alloys,
combustion, crystal growth, damage in elastic materials, glass formation,
phase transitions in polymers, plasticity, ...). The practical interest
is evident and has deeply influenced the technological development of
our society, stimulating indeed an intense mathematical research.
It is well-known that the crucial issue of adequately describing some
relevant phase change situations requires the joint contribution of
several different knowledges, ranging from continuum thermomechanics,
to the mathematical analysis of PDE's, to approximation and computation.
The possible dissipative character of the phase transition phenomena
is often a guideline in all of the abovementioned steps of the study.
Indeed, the concept of dissipation occurs in the analysis of thermodynamic
consistency of models, is strictly related to the expected regularity
of solutions to PDE's, is connected with the possible stability
of suitable discretization schemes.
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