26 citations · 141 across the 34 of their papers we have counts for
34 papers
Yaglom's law and conserved quantity dissipation in turbulence
Yanqing Wang, Wei Wei, Yulin Ye
In this paper, we are concerned with the local exact relationship for third-order structure functions in the temperature equation, the inviscid MHD equations and the Euler equation…
Convergence rates of a discrete feedback control arising in mean-field linear quadratic optimal control problems
Yanqing Wang
In this work, we propose a feedback control based temporal discretization for linear quadratic optimal control problems (LQ problems) governed by controlled mean-field stochastic d…
Energy and helicity conservation for the generalized quasi-geostrophic equation
Yanqing Wang, Yulin Ye, Huan Yu
In this paper, we consider the 2-D generalized surface quasi-geostrophic equation with the velocity determined by . It is shown that the ty…
Fractal dimension of potential singular points set in the Navier-Stokes equations under supercritical regularity
Yanqing Wang, Gang Wu
The main objective of this paper is to answer the questions posed by Robinson and Sadowski [21, p. 505, Comm. Math. Phys., 2010]{[RS3]} for the Navier-Stokes equations. Firstly, we…
Energy conservation of weak solutions for the incompressible Euler equations via vorticity
Jitao Liu, Yanqing Wang, Yulin Ye
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: 1-1…
Analytical validation of the helicity conservation for the compressible Euler equations
Yanqing Wang, Wei Wei, Yulin Ye
In [25], Moffatt introduced the concept of helicity in an inviscid fluid and examined the helicity preservation of smooth solution to barotropic compressible flow. In this paper, i…
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…
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…
The role of density in the energy conservation for the isentropic compressible Euler equations
Yanqing Wang, Yulin Ye, Huan Yu
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…
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…
A general sufficient criterion for energy conservation in the Navier-Stokes system
Yanqing Wang, Yulin Ye
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-S…
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…
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…
Strong Error Estimates for a Space-Time Discretization of the Linear-Quadratic Control Problem with the Stochastic Heat Equation with Linear Noise
Andreas Prohl, Yanqing Wang
We propose a time-implicit, finite-element based space-time discretization of the necessary and sufficient optimality conditions for the stochastic linear-quadratic optimal control…
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…
On continuation criteria for the full compressible Navier-Stokes equations in Lorentz spaces
Yanqing Wang, Wei Wei, Gang Wu +1
In this paper, we derive several new sufficient conditions of non-breakdown of strong solutions for for both the 3D heat-conducting compressible Navier-Stokes system and nonhomogen…
-regularity criteria in Lorentz spaces to the 3D Navier-Stokes equations
Yanqing Wang, Wei Wei, Huan Yu
In this paper, we are concerned with regularity of suitable weak solutions of the 3D Navier-Stokes equations in Lorentz spaces. We obtain -regularity criteria in terms…
New regularity criteria based on pressure or gradient of velocity in Lorentz spaces for the 3D Navier-Stokes equations
Xiang Ji, Yanqing Wang, Wei Wei
In this paper, we derive regular criteria via pressure or gradient of the velocity in Lorentz spaces to the 3D Navier-Stokes equations. It is shown that a Leray-Hopf weak solution…
Refined blow up criteria for the full compressible Navier-Stokes equations involving temperature
Quansen Jiu, Yanqing Wang, Yulin Ye
In this paper, inspired by the study of the energy flux in local energy inequality of the 3D incompressible Navier-Stokes equations, we improve almost all the blow up criteria invo…
-regularity criteria in anisotropic Lebesgue spaces and Leray's self-similar solutions to the 3D Navier-Stokes equations
Yanqing Wang, Gang Wu, Daoguo Zhou
In this paper, we establish some -regularity criteria in anisotropic Lebesgue spaces for suitable weak solutions to the 3D Navier-Stokes equations as follows: $$ \lims…
Improved bounds for box dimensions of potential singular points to the Navier--Stokes equations
Yanqing Wang, Minsuk Yang
In this paper, we study the potential singular points of interior and boundary suitable weak solutions to the 3D Navier--Stokes equations. It is shown that upper box dimension of i…
A -regularity criterion without pressure of suitable weak solutions to the Navier-Stokes equations at one scale
Yanqing Wang, Gang Wu, Daoguo Zhou
In this paper, we continue our work in [15] to derive ε-regularity criteria at one scale without pressure for suitable weak solutions to the Navier-Stokes equations. We establish a…
On Wolf's regularity criterion of suitable weak solutions to the Navier-Stokes equations
Quansen Jiu, Yanqing Wang, Daoguo Zhou
In this paper, we consider the local regularity of suitable weak solutions to the 3D incompressible Navier-Stokes equations. By means of the local pressure projection introduced by…