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Research Article | Open Access

Blow-up criteria for the full compressible Navier-Stokes equations involving temperature in Vishik Spaces

Department of Mathematics Education, Andong National University, Andong, Republic of Korea
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Abstract

In this paper, we consider the conditional regularity for the 3D incompressible Navier-Stokes equations in Vishik spaces. These results will be regarded an improvement of the results given by Huang-Li-Xin, (SIAM J. Math. Anal., 2011) and Jiu-Wang-Ye, (J. Evol. Equ., 2021).

Keywords

full compressible Navier-Stokes equationsstrong solutionsblow-up criteria
CLC number: 35B65, 35D30, 76D05

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 15693-15703
DOI: 10.3934/math.2022859

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Cite this article:
Kim J-M. Blow-up criteria for the full compressible Navier-Stokes equations involving temperature in Vishik Spaces. AIMS Mathematics, 2022, 7(8): 15693-15703. https://doi.org/10.3934/math.2022859

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Received: 12 May 2022
Revised: 19 June 2022
Accepted: 20 June 2022
Published: 15 August 2022
©2022 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)