English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

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

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