86 citations · 270 across the 55 of their papers we have counts for
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Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys
Elena Bonetti, Pierluigi Colli, Mauro Fabrizio +1
We consider a strongly nonlinear PDE system describing solid-solid phase transitions in shape memory alloys. The system accounts for the evolution of an order parameter (related to…
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system
Pierluigi Colli, Gianni Gilardi, Pavel Krejčí +2
In this paper we propose a time discretization of a system of two parabolic equations describing diffusion-driven atom rearrangement in crystalline matter. The equations express th…
A continuous dependence result for a nonstandard system of phase field equations
Pierluigi Colli, Gianni Gilardi, Pavel Krejčí +1
The present note deals with a nonstandard systems of differential equations describing a two-species phase segregation. This system naturally arises in the asymptotic analysis carr…
Regularity of the solution to a nonstandard system of phase field equations
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
A nonstandard system of differential equations describing two-species phase segregation is considered. This system naturally arises in the asymptotic analysis recently done by Coll…
Singular limit of an integrodifferential system related to the entropy balance
Elena Bonetti, Pierluigi Colli, Gianni Gilardi
A thermodynamic model describing phase transitions with thermal memory, in terms of an entropy equation and a momentum balance for the microforces, is adressed. Convergence results…