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Author: Rocca, Elisabetta × Subject: global-in-time existence ×

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    On a nonlocal Cahn-Hilliard equation with a reaction term
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2015) Melchionna, Stefano; Rocca, Elisabetta
    We prove existence, uniqueness, regularity and separation properties for a nonlocal Cahn- Hilliard equation with a reaction term. We deal here with the case of logarithmic potential and degenerate mobility as well an uniformly lipschitz in u reaction term g(x, t, u).
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    Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014) Eleuteri, Michela; Rocca, Elisabetta; Schimperna, Giulio
    We consider a thermodynamically consistent diffuse interface model describing two-phase flows of incompressible fluids in a non-isothermal setting. The model was recently introduced in [12] where existence of weak solutions was proved in three space dimensions. Here, we aim at studying the properties of solutions in the two-dimensional case. In particular, we can show existence of global in time solutions satisfying a stronger formulation of the model with respect to the one considered in [12]. Moreover, we can admit slightly more general conditions on some material coefficients of the system.