Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials
, 2015 The well-posedness of a system of partial differential equations and dynamic boundary conditions, both of Cahn-Hilliard type, is discussed. The existence of a weak solution and its continuous dependence on the data are proved using a suitable setting for
Colli, Pierluigi, Fukao, Takeshi
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On an application of Tikhonov's fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation [PDF]
, 2015 This paper investigates a nonlocal version of a model for phase separation on an atomic lattice that was introduced by P. Podio-Guidugli in Ric. Mat. 55 (2006) 105-118.
Colli, Pierluigi +2 more
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Global existence for a phase separation system deduced from the entropy balance
, 2019 This paper is concerned with a thermomechanical model describing phase separation phenomena in terms of the entropy balance and equilibrium equations for the microforces.
Colli, Pierluigi, Kurima, Shunsuke
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Continuity of the temperature in a multi-phase transition problem. [PDF]
Math Ann, 2022 Gianazza U, Liao N.
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On a Navier-Stokes-Allen-Cahn model with inertial effects
, 2019 A mathematical model describing the flow of two-phase fluids in a bounded container $\Omega$ is considered under the assumption that the phase transition process is influenced by inertial effects.
Favre, Gianluca, Schimperna, Giulio
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Convergence properties for a generalization of the Caginalp phase field system
, 2012 We are concerned with a phase field system consisting of two partial differential equations in terms of the variables thermal displacement, that is basically the time integration of temperature, and phase parameter.
Canevari, Giacomo, Colli, Pierluigi
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Analysis and Optimal Velocity Control of a Stochastic Convective Cahn-Hilliard Equation. [PDF]
J Nonlinear Sci, 2021 Scarpa L.
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Drying a liquid paint layer [PDF]
, 2001 Subject of this study is the free boundary problem of a liquid layer that is dried by evaporation. Using a Stefan type problem, we model the diffusion driven drying of a layer of liquid paint consisting of resin and solvent.
Fliert, B.W. van de, Susanto, H.
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The Allen-Cahn equation with dynamic boundary conditions and mass constraints
, 2014 The Allen-Cahn equation, coupled with dynamic boundary conditions, has recently received a good deal of attention. The new issue of this paper is the setting of a rather general mass constraint which may involve either the solution inside the domain or ...
Aiki +24 more
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Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions
, 2012 We prove well-posedness results for the solution to an initial and boundary-value problem for an Allen-Cahn type equation describing the phenomenon of phase transitions for a material contained in a bounded and regular domain.
Allen +26 more
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