86 citations · 451 across the 95 of their papers we have counts for
3 papers · 2 filters
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity
Pierluigi Colli, Pavel Krejčí, Elisabetta Rocca +1
In this paper, we prove the existence and global boundedness from above for a solution to an integrodifferential model for nonisothermal multi-phase transitions under nonhomogeneou…
A temperature-dependent phase segregation problem of the Allen-Cahn type
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
In this paper we prove a local-in-time existence theorem for an initial-boundary value problem related to a model of temperature-dependent phase segregation that generalizes the st…
A phase-field approximation of the Willmore flow with volume constraint
Pierluigi Colli, Philippe Laurençot
The well-posedness of a phase-field approximation to the Willmore flow with volume constraint is established. The existence proof relies on the underlying gradient flow structure o…