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

Zhilei Liang; Q. Niu; Jiangyu Shuai

doi:10.1016/j.aml.2019.07.009

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

Zhilei Liang^*
, Q. Niu
, Jiangyu Shuai

^*Corresponding author for this work

Department of Applied Mathematics

Southwestern University of Finance and Economics

Research output: Contribution to journal › Article › peer-review

4 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 L^p-L^s regularity condition on the gradient of the velocity field such that the weak solution conserves its energy for all positive time.

Original language	English
Article number	105978
Journal	Applied Mathematics Letters
Volume	99
DOIs	https://doi.org/10.1016/j.aml.2019.07.009
Publication status	Published - Jan 2020

Keywords

Cahn-Hilliard/Navier-Stokes
Energy conservation
Weak solutions

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.aml.2019.07.009

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title = "Energy equality for weak solutions to Cahn–Hilliard/Navier–Stokes equations",

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.",

keywords = "Cahn-Hilliard/Navier-Stokes, Energy conservation, Weak solutions",

author = "Zhilei Liang and Q. Niu and Jiangyu Shuai",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",

year = "2020",

month = jan,

doi = "10.1016/j.aml.2019.07.009",

language = "English",

volume = "99",

journal = "Applied Mathematics Letters",

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TY - JOUR

T1 - Energy equality for weak solutions to Cahn–Hilliard/Navier–Stokes equations

AU - Liang, Zhilei

AU - Niu, Q.

AU - Shuai, Jiangyu

PY - 2020/1

Y1 - 2020/1

N2 - 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.

AB - 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.

KW - Cahn-Hilliard/Navier-Stokes

KW - Energy conservation

KW - Weak solutions

UR - https://www.scopus.com/pages/publications/85069917579

U2 - 10.1016/j.aml.2019.07.009

DO - 10.1016/j.aml.2019.07.009

M3 - Article

AN - SCOPUS:85069917579

SN - 0893-9659

VL - 99

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 105978

ER -

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

Abstract

Keywords

UN SDGs

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