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Regularity criterion on the energy conservation for the compressible Navier–Stokes equations
- Source :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 151:1954-1971
- Publication Year :
- 2020
- Publisher :
- Cambridge University Press (CUP), 2020.
-
Abstract
- This paper concerns the energy conservation for the weak solutions of the compressible Navier–Stokes equations. Assume that the density is positively bounded, we work on the regularity assumption on the gradient of the velocity, and establish a Lp–Ls type condition for the energy equality to hold in the distributional sense in time. We mention that no regularity assumption on the density derivative is needed any more.
Details
- ISSN :
- 14737124 and 03082105
- Volume :
- 151
- Database :
- OpenAIRE
- Journal :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Accession number :
- edsair.doi...........09938202e7cf62eefd32499648a8fa5d