Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force
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(\mathbb{R}^3)\times H^1(\m...
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Published in: | AIMS mathematics Vol. 8; no. 11; pp. 27712 - 27724 |
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Main Authors: | , , |
Format: | Journal Article |
Language: | English |
Published: |
AIMS Press
01-01-2023
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Subjects: | |
Online Access: | Get full text |
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Summary: | 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(\mathbb{R}^3)\times H^1(\mathbb{R}^3) $, we prove the global existence and regularity of strong solutions for the Navier-Stokes-Korteweg equations. |
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ISSN: | 2473-6988 2473-6988 |
DOI: | 10.3934/math.20231418 |