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math.AP2021★ 2 cited
Energy equality in the isentropic compressible Navier-Stokes equations allowing vacuum
Yulin Ye, Yaniqng Wang, Wei Wei
It is well-known that a Leray-Hopf weak solution in for the incompressible Navier-Stokes system is persistence of energy due to Lions [19]. In this paper, it is…
math.AP2021★ 5 cited
Gagliardo-Nirenberg inequalities in Lorentz type spaces and energy equality for the Navier-Stokes system
Yanqing Wang, Wei Wei, Yulin Ye
In this paper, we derive some new Gagliardo-Nirenberg type inequalities in Lorentz type spaces without restrictions on the second index of Lorentz norms, which generalize almost al…