A nonlocal two phase Stefan problem [PDF]
, 2013 We study a nonlocal version of the two-phase Stefan problem, which models a phase transition problem between two distinct phases evolving to distinct heat equations.
Chasseigne, Emmanuel +1 more
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Simultaneous determination of two unknown thermal coefficients through a mushy zone model with an overspecified convective boundary condition [PDF]
, 2015 The simultaneous determination of two unknown thermal coefficients for a semi-infinite material under a phase-change process with a mushy zone according to the Solomon-Wilson-Alexiades model is considered.
Ceretani, Andrea N., Tarzia, Domingo A.
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Thermodynamically Consistent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities [PDF]
, 2010 A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics.
Abels, Helmut +2 more
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A quantitative modulus of continuity for the two-phase Stefan problem [PDF]
, 2014 We derive the quantitative modulus of continuity $$ \omega(r)=\left[ p+\ln \left( \frac{r_0}{r} \right) \right]^{-\alpha (n,p)}, $$ which we conjecture to be optimal, for solutions of the $p$-degenerate two-phase Stefan problem.
Jose +3 more
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On the viscous Cahn-Hilliard equation with singular potential and inertial term
, 2016 We consider a relaxation of the viscous Cahn-Hilliard equation induced by the second-order inertial term~$u_{tt}$. The equation also contains a semilinear term $f(u)$ of "singular" type. Namely, the function $f$ is defined only on a bounded interval of ${
Scala, Riccardo, Schimperna, Giulio
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Non-isothermal viscous Cahn--Hilliard equation with inertial term and dynamic boundary conditions [PDF]
, 2013 We consider a non-isothermal modified Cahn--Hilliard equation which was previously analyzed by M. Grasselli et al. Such an equation is characterized by an inertial term and a viscous term and it is coupled with a hyperbolic heat equation.
Cavaterra, Cecilia +2 more
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Self-propagating High temperature Synthesis (SHS) in the high activation energy regime [PDF]
, 2005 We derive the precise limit of SHS in the high activation energy scaling suggested by B.J. Matkowksy-G.I. Sivashinsky in 1978 and by A. Bayliss-B.J. Matkowksy-A.P. Aldushin in 2002. In the time-increasing case the limit turns out to be the Stefan problem
Monneau, Regis, Weiss, G. S.
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Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements [PDF]
, 2012 We consider the e cient solution of the Cahn-Hilliard variational inequality using an implicit time discretization, which is formulated as an optimal control problem with pointwise constraints on the control.
Benner, P., Bosch, J., Stoll, M.
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Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a `deep quench' approach [PDF]
, 2017 In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn-Hilliard system with dynamic boundary conditions. Such systems govern phase separation processes between two phases taking place in an incompressible fluid ...
Colli, Pierluigi +2 more
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Two different fractional Stefan problems which are convergent to the same classical Stefan problem
, 2018 Two fractional Stefan problems are considered by using Riemann-Liouville and Caputo derivatives of order $\alpha \in (0,1)$ such that in the limit case ($\alpha =1$) both problems coincide with the same classical Stefan problem. For the one and the other
Atkinson +26 more
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