Refined blow up criteria for the full compressible Navier-Stokes equations involving temperature
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| Format: | Preprint |
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2019
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| _version_ | 1866914838053126144 |
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| author | Jiu, Quansen Wang, Yanqing Ye, Yulin |
| author_facet | Jiu, Quansen Wang, Yanqing Ye, Yulin |
| contents | In this paper, inspired by the study of the energy flux in local energy inequality of the 3D incompressible Navier-Stokes equations, we improve almost all the blow up criteria involving temperature to allow the temperature in its scaling invariant space for the 3D full compressible Navier-Stokes equations. Enlightening regular criteria via pressure $Π=\frac{\text {divdiv}}{-Δ}(u_{i}u_{j})$ of the 3D incompressible Navier-Stokes equations on bounded domain, we generalize Beirao da Veiga's result in [1] from the incompressible Navier-Stokes equations to the isentropic compressible Navier-Stokes system in the case away from vacuum. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1906_07478 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Refined blow up criteria for the full compressible Navier-Stokes equations involving temperature Jiu, Quansen Wang, Yanqing Ye, Yulin Analysis of PDEs In this paper, inspired by the study of the energy flux in local energy inequality of the 3D incompressible Navier-Stokes equations, we improve almost all the blow up criteria involving temperature to allow the temperature in its scaling invariant space for the 3D full compressible Navier-Stokes equations. Enlightening regular criteria via pressure $Π=\frac{\text {divdiv}}{-Δ}(u_{i}u_{j})$ of the 3D incompressible Navier-Stokes equations on bounded domain, we generalize Beirao da Veiga's result in [1] from the incompressible Navier-Stokes equations to the isentropic compressible Navier-Stokes system in the case away from vacuum. |
| title | Refined blow up criteria for the full compressible Navier-Stokes equations involving temperature |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/1906.07478 |