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 [11] where existence of weak solutions was proved in three space dimensions. Here, we aim to study 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 [11].

Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids / Eleuteri, Michela; Rocca, Elisabetta; Schimperna, Giulio. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 33:6(2016), pp. 1431-1454. [10.1016/j.anihpc.2015.05.006]

Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids

ELEUTERI, Michela;
2016

Abstract

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 [11] where existence of weak solutions was proved in three space dimensions. Here, we aim to study 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 [11].
2016
33
6
1431
1454
Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids / Eleuteri, Michela; Rocca, Elisabetta; Schimperna, Giulio. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 33:6(2016), pp. 1431-1454. [10.1016/j.anihpc.2015.05.006]
Eleuteri, Michela; Rocca, Elisabetta; Schimperna, Giulio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1117571
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