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Research Article | Open Access

Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force

Kaile Chen1, Yunyun Liang1( ), Nengqiu Zhang2
School of information and mathematics, Yangtze University, Jingzhou 434023, China
School of Science, East China University of Science and Technology, Shanghai 200237, China
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Abstract

In this article, we consider a three dimensional compressible Navier-Stokes-Korteweg equations with the effect of external potential force. Under the smallness assumptions on both the external potential force and the initial perturbation of the stationary solution in H 2 ( R 3 ) × H 1 ( R 3 ), we prove the global existence and regularity of strong solutions for the Navier-Stokes-Korteweg equations.

Keywords

Navier-Stokes-Korteweg equationsstationary solutionglobal existence
CLC number: 34B40, 35Q35, 93D20

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 27712-27724
DOI: 10.3934/math.20231418

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Cite this article:
Chen K, Liang Y, Zhang N. Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force. AIMS Mathematics, 2023, 8(11): 27712-27724. https://doi.org/10.3934/math.20231418

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Received: 03 August 2023
Revised: 18 September 2023
Accepted: 24 September 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)