5 citations · 13 across the 8 of their papers we have counts for
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Anisotropic Hardy-Sobolev inequality in mixed Lorentz spaces with applications to the axisymmetric Navier-Stokes equations
Yanqing Wang, Yike Huang, Wei Wei +1
In this paper, we establish several new anisotropic Hardy-Sobolev inequalities in mixed Lebesgue spaces and mixed Lorentz spaces, which covers many known corresponding results. As…
Gagliardo-Nirenberg inequality in anisotropic Lebesgue spaces and energy equality in the Navier-Stokes equations
Yanqing Wang, Xue Mei, Wei Wei
In this paper, it is shown that an analogue in mixed norm spaces of Gagliardo-Nirenberg inequality is valid. As an application, some new criteria for energy conservation of Leray-H…
A Liouville's theorem for some Monge-Ampère type equations
Hao Fang, Biao Ma, Wei Wei
We study a Monge-Ampère type equation that interpolates the classical {σ_2} -Yamabe equation in conformal geometry and the 2-Hessian equation in dimension 4.
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…
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…
Leray's backward self-similar solutions to the 3D Navier-Stokes equations in Morrey spaces
Quansen Jiu, Yanqing Wang, Wei Wei
In this paper, it is shown that there does not exist a non-trivial Leray's backward self-similar solution to the 3D Navier-Stokes equations with profiles in Morrey spaces $\dot{\ma…