5 papers
Sharp Ill-Posedness of the Euler Equations in Lorentz Spaces
Jeaheang Bang, Alexey Cheskidov
We study vortex stretching for the three-dimensional axisymmetric Euler equations without swirl in vorticity formulation. Danchin (2007) established global existence and uniqueness…
On the existence of self-similar solutions to the steady Navier-Stokes equations in high dimensions
Jeaheang Bang, Changfeng Gui, Hao Liu +2
We prove that the steady incompressible Navier-Stokes equations with any given -homogeneous, locally Lipschitz external force on , $4\leq n\leq 16…
Self-Similar Solutions to the steady Navier-Stokes Equations in a two-dimensional sector
Jeaheang Bang, Changfeng Gui, Hao Liu +2
This paper is concerned with self-similar solutions of the steady Navier-Stokes system in a two-dimensional sector with the no-slip boundary condition. We give necessary and suffic…
On rigidity of the steady Ericksen-Leslie system
Jeaheang Bang, Changyou Wang
We study solutions, with scaling-invariant bounds, to the steady simplified Ericksen-Leslie system in . When , we construct and classify a class o…
Saint-Venant Estimates and Liouville-Type Theorems for the Stationary Navier-Stokes Equation in
Jeaheang Bang, Zhuolun Yang
We prove two Liouville type theorems for the stationary Navier-Stokes equations in under some assumptions on 1) the growth of the mean oscillation of a potenti…