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arXiv:1406.1635 [math.AP]AbstractReferencesReviewsResources

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

Michela Eleuteri, Elisabetta Rocca, Giulio Schimperna

Published 2014-06-06Version 1

We consider a thermodynamically consistent diffuse interface model describing two-phase flows of incompressible fluids in a non-isothermal setting. This model was recently introduced in a previous paper of ours, where we proved existence of weak solutions in three space dimensions. Here, we aim at studying the mathematical properties of the model in the two-dimensional case. In particular, we can show existence of global in time strong solutions. Moreover, we can admit slightly more general conditions on some material coefficients of the system.

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