26 citations · 141 across the 34 of their papers we have counts for
6 papers · 1 filter
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…