Blow-up criteria for the full compressible Navier-Stokes equations involving temperature in Vishik Spaces-Reference-Cited by-同舟云学术

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

Published:2022 Issue:8 Volume:7 Page:15693-15703
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Kim Jae-Myoung

Abstract

<abstract><p>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).</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference22 articles.

1. Y. Cho, H. Kim, Existence results for viscous polytropic fluids with vacuum, J. Differential Equations., 228 (2006), 377–411. https://doi.org/10.1016/j.jde.2006.05.001

2. L. Du, Y. Wang, Blowup criterion for 3-dimensional compressible Navier-Stokes equations involving velocity divergence, Commun. Math. Sci., 12 (2014), 1427–1435. https://doi.org/10.4310/CMS.2014.v12.n8.a3

3. J. Fan, S. Jiang, Y. Ou, A blow-up criterion for compressible viscous heat-conductive flows, Ann. Inst. H. Poincaré, Anal. Non Linéaire., 27 (2010), 337–350. https://doi.org/10.1016/j.anihpc.2009.09.012

4. S. Gala, M. A. Ragusa, Y. Sawano, H. Tanaka, Uniqueness criterion of weak solutions for the dissipative quasi-geostrophic equations in Orlicz-Morrey spaces, Appl. Anal., 93 (2014), 356–368. https://doi.org/10.1080/00036811.2013.772582

5. X. Huang, J. Li, On breakdown of solutions to the full compressible Navier-Stokes equations, Meth. Appl. Anal., 16 (2009), 479–490. https://doi.org/10.4310/MAA.2009.v16.n4.a4