Energy identity for the incompressible Cahn--Hilliard/Navier--Stokes system with non-degenerate mobility
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909279378735104 |
|---|---|
| author | Georgiadis, Stefanos |
| author_facet | Georgiadis, Stefanos |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01749 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Energy identity for the incompressible Cahn--Hilliard/Navier--Stokes system with non-degenerate mobility Georgiadis, Stefanos Analysis of PDEs 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. |
| title | Energy identity for the incompressible Cahn--Hilliard/Navier--Stokes system with non-degenerate mobility |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.01749 |