53 citations · 105 across the 12 of their papers we have counts for
12 papers
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…
Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN
Yin Fang, Gang-Zhou Wu, Yue-Yue Wang +1
We use the physics-informed neural network to solve a variety of femtosecond optical soliton solutions of the high order nonlinear Schrödinger equation, including one-soliton solut…
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…