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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Doi
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 [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
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