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Regularity criterion on the energy conservation for the compressible Navier–Stokes equations
Published online by Cambridge University Press: 11 December 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.
MSC classification
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- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 151 , Issue 6 , December 2021 , pp. 1954 - 1971
- Copyright
- Copyright © The Author(s), 2020. Published by Cambridge University Press.
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