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

Jae-Myoung Kim; Jae-Myoung Kim

doi:10.3934/math.2022859

AIMS Mathematics

2022, Volume 7, Issue 8: 15693-15703. doi: 10.3934/math.2022859

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

Jae-Myoung Kim ^,

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

Received: 12 May 2022 Revised: 19 June 2022 Accepted: 20 June 2022 Published: 24 June 2022
MSC : 35B65, 35D30, 76D05

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).
- full compressible Navier-Stokes equations,
- strong solutions,
- blow-up criteria
Citation: Jae-Myoung Kim. Blow-up criteria for the full compressible Navier-Stokes equations involving temperature in Vishik Spaces[J]. AIMS Mathematics, 2022, 7(8): 15693-15703. doi: 10.3934/math.2022859

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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).

References

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