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20152022
most citedGagliardo-Nirenberg inequalities in Lorentz type spaces and energy equality for the Navier-Stokes system

5 citations · 23 across the 14 of their papers we have counts for

collaborators

19 papers

math.AP20222 cited

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…

math.AP20222 cited

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…

math.AP20211 cited

Energy equality for the isentropic compressible Navier-Stokes equations without upper bound of the density

Yulin Ye, Yanqing Wang, Huan Yu

In this paper, we are concerned with the minimal regularity of both the density and the velocity for the weak solutions keeping energy equality in the isentropic compressible Navie…

math.AP20215 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…

math.OC20212 cited

Numerics for Stochastic Distributed Parameter Control Systems: a Finite Transposition Method

Qi Lü, Penghui Wang, Yanqing Wang +1

In this chapter, we present some recent progresses on the numerics for stochastic distributed parameter control systems, based on the \emph{finite transposition method} introduced…

math.OC20203 cited

Strong Rates of Convergence for Space-Time Discretization of the Backward Stochastic Heat Equation, and of a Linear-Quadratic Control Problem for the Stochastic Heat Equation

Andreas Prohl, Yanqing Wang

We introduce a time-implicit, finite-element based space-time discretization scheme for the backward stochastic heat equation, and for the forward-backward stochastic heat equation…