Work

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

Year: 2024

Type: article

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.

Source: Zeitschrift für angewandte Mathematik und Physik

DOI: 10.1007/s00033-024-02312-w

Author: Stefanos Georgiadis

Institutions: TU Wien, King Abdullah University of Science and Technology

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funders: European Commission, Austrian Science Fund, King Abdullah University of Science and Technology