Work

Navier–Stokes–Cahn–Hilliard equations on evolving surfaces

Year: 2024

Type: article

Abstract: We derive a system of equations which can be seen as an evolving surface version of the diffuse interface “Model H” of Hohenberg and Halperin (1977). We then consider the well-posedness for the corresponding (tangential) system when one prescribes the evolution of the surface. Well-posedness is proved for smooth potentials in the Cahn–Hilliard equation with polynomial growth, and also for a thermodynamically relevant singular potential.

Source: Interfaces and Free Boundaries Mathematical Analysis Computation and Applications

DOI: 10.4171/ifb/528

Authors: Charles M. Elliott, Thomas Sales

Institution: University of Warwick

Language: English

Topic: Solidification and crystal growth phenomena

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: diamond

Funders: University of Warwick, Engineering and Physical Sciences Research Council

Award: G3430707612