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Energy equalities for compressible Navier–Stokes equations
The energy equalities of compressible Navier–Stokes equations with general pressure law
and degenerate viscosities are studied. By using a unified approach, we give sufficient …
and degenerate viscosities are studied. By using a unified approach, we give sufficient …
Energy equality in the isentropic compressible Navier-Stokes equations allowing vacuum
Y Ye, Y Wang, W Wei - Journal of Differential Equations, 2022 - Elsevier
It is well-known that a Leray-Hopf weak solution in L 4 (0, T; L 4 (T 3)) for the incompressible
Navier-Stokes system is persistence of energy due to Lions [19]. In this paper, it is shown …
Navier-Stokes system is persistence of energy due to Lions [19]. In this paper, it is shown …
A general sufficient criterion for energy conservation in the Navier–Stokes system
Y Wang, Y Ye - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
In this paper, we derive an energy conservation criterion based on a combination of velocity
and its gradient for the weak solutions of both the homogeneous incompressible Navier …
and its gradient for the weak solutions of both the homogeneous incompressible Navier …
Energy conservation of weak solutions for the incompressible Euler equations via vorticity
J Liu, Y Wang, Y Ye - Journal of Differential Equations, 2023 - Elsevier
Motivated by the works of Cheskidov, Lopes Filho, Nussenzveig Lopes and Shvydkoy in [8,
Commun. Math. Phys. 348: 129-143, 2016] and Chen and Yu in [5, J. Math. Pures Appl. 131 …
Commun. Math. Phys. 348: 129-143, 2016] and Chen and Yu in [5, J. Math. Pures Appl. 131 …
Dissipation for codimension 1 singular structures to incompressible Euler
L De Rosa, M Inversi, M Nesi - ar** energy conservation in terms of the
gradient of the velocity for the weak solutions of the compressible Euler equations for both …
gradient of the velocity for the weak solutions of the compressible Euler equations for both …
The role of density in the energy conservation for the isentropic compressible Euler equations
Y Wang, Y Ye, H Yu - Journal of Mathematical Physics, 2023 - pubs.aip.org
In this paper, we study Onsager's conjecture on the energy conservation for the isentropic
compressible Euler equations via establishing the energy conservation criterion involving …
compressible Euler equations via establishing the energy conservation criterion involving …
Energy equality of weak solutions of the 2D reduced‐gravity two‐and‐a‐half layer system allowing vacuum
X Ji, F Wu, Y Gao - Mathematical Methods in the Applied …, 2025 - Wiley Online Library
The energy conservation problem for the reduced‐gravity two‐and‐a‐half layer model
remains a challenging open problem, with several recent contributions addressing various …
remains a challenging open problem, with several recent contributions addressing various …