Energy equality for weak solutions to Cahn–Hilliard/Navier–Stokes equations

Zhilei Liang*, Q. Niu, Jiangyu Shuai

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

This paper is concerned with a diffuse interface model for the flow of two viscous incompressible fluids with matched densities. We establish a Lp-Ls regularity condition on the gradient of the velocity field such that the weak solution conserves its energy for all positive time.

Original languageEnglish
Article number105978
JournalApplied Mathematics Letters
Volume99
DOIs
Publication statusPublished - Jan 2020

Keywords

  • Cahn-Hilliard/Navier-Stokes
  • Energy conservation
  • Weak solutions

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