53 citations · 105 across the 12 of their papers we have counts for
11 papers · 1 filter
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…
Partial regularity of suitable weak solutions of the model arising in amorphous molecular beam epitaxy
Yanqing Wang, Yike Huang, Gang Wu +1
In this paper, we are concerned with the precise relationship between the Hausdorff dimension of possible singular point set of suitable weak solutions and the parame…
Stability of singular solutions to the Navier-Stokes system
Marco Cannone, Grzegorz Karch, Dominika Pilarczyk +1
We develop mathematical methods which allow us to study asymptotic properties of solutions to the three dimensional Navier-Stokes system for incompressible fluid in the whole three…
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 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…
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…