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On some doubly nonlinear evolution equations in Banach spaces
- P. Colli
- Mathematics
- 1 June 1992
The initial value problem is studied for the abstract evolution equationA(du/dt)+B(u) ∋f, whereA andB are maximal monotone operators from a Banach spaceW to its dual spaceW*, withA bounded andB…
Global existence of weak solutions to a nonlocal Cahn–Hilliard–Navier–Stokes system
- P. Colli, S. Frigeri, M. Grasselli
- Mathematics
- 20 January 2011
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth
- P. Colli, G. Gilardi, E. Rocca, J. Sprekels
- Mathematics
- 28 January 2015
Global Solution to the Penrose-Fife Phase Field Model with Special Heat Flux Laws
- P. Colli, P. Laurençot, J. Sprekels
- Mathematics
- 1999
The phase field model introduced by Penrose and Fife is considered for diffusive phase transitions with non conserved order parameter. Different motivations lead to investigate the case when the heat…
A phase field model with temperature dependent constraint
- P. Colli, N. Kenmochi, M. Kubo
- Mathematics
- 26 January 2000
This paper is concerned with a phase-field model with temperature dependent constraint for the order parameter. In the kinetic equation of the order parameter, we take account of diffusion as well as…
Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws
- P. Colli, Philippe Laurencçot
- Mathematics
- 1998
Global existence for the three-dimensional Fre´mond model of shape memory alloys
- P. Colli
- Mathematics
- 1 June 1995
Existence and Stabilization of Solutions to the Phase-Field Model with Memory
- P. Colli, P. Laurençot
- Mathematics
- 1 June 1998
A phase field model is considered when the classical Fourier law is replaced by the linearized GurtinPipkin constitutive assumption for the heat flux. The resulting system of partial differential…
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