16 citations · 34 across the 10 of their papers we have counts for
10 papers
On Green's function of the vorticity formulation for the 3D Navier-Stokes equations
Igor Kukavica, Fei Wang, Yichun Zhu
We give a novel vorticity formulation for the 3D Navier-Stokes equations with Dirichlet boundary conditions. Via a resolvent argument, we obtain Green's function and establish an u…
Local existence of the stochastic Navier-Stokes equations in the whole space
Igor Kukavica, Fei Wang, Fanhui Xu
We address the local well-posedness for the stochastic Navier-Stokes system with multiplicative cylindrical noise in the whole space. More specifically, we prove that there exists…
Ill/well-posedness of non-diffusive active scalar equations with physical applications
Susan Friedlander, Anthony Suen, Fei Wang
We consider a general class of non-diffusive active scalar equations with constitutive laws obtained via an operator that is singular of order . For $r_0\…
The growth mechanism of boundary layers for the 2D Navier-Stokes equations
Fei Wang, Yichun Zhu
We give a detailed description of formation of the boundary layers in the inviscid limit problem. To be more specific, we prove that the magnitude of the vorticity near the boundar…
On the Euler+Prandtl expansion for the Navier-Stokes equations
Igor Kukavica, Trinh Nguyen, Vlad Vicol +1
We establish the validity of the EulerPrandtl approximation for solutions of the Navier-Stokes equations in the half plane with Dirichlet boundary conditions, in the vanishing v…
Compressible Navier-Stokes equations with heterogeneous pressure laws
Didier Bresch, Pierre Emmanuel Jabin, Fei Wang
This paper concerns the existence of global weak solutions à la Leray for compressible Navier-Stokes equations with a pressure law that depends on the density and on time and space…