Energy identity for the incompressible Cahn–Hilliard/Navier–Stokes system with non–degenerate mobility

2024/08/26 by Stefanos Georgiadis · 1 voice
Computer Science · Engineering · Materials Science · #Advanced Mathematical Modeling in Engineering #Fluid Dynamics and Thin Films #Solidification and crystal growth phenomena

paper · pdf · doi:10.1007/s00033-024-02312-w

openalex publication_date 2024/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/23

Abstract

Abstract We consider the Cahn–Hilliard/Navier–Stokes system with non–degenerate mobility in the space–periodic case, describing the flow of two viscous immiscible and incompressible Newtonian fluids with matched densities. We identify sufficient conditions on the velocity field for weak solutions to satisfy an energy identity, improving previous results on the literature.

Citations

• On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities
• Theory of dynamic critical phenomena

Discussions

• AUTOMATIC REPOST OF OLD TWEETS FROM TWITTER (X) FOR ARCHIVING PURPOSES [10.09.2024] --- New publication on "Energy identity for the incompressible Cahn–Hilliard/Navier–Stokes system with non–degenerat [bsky, 0 points, 0 comments]