Add to ORKGIn this article we derive the no-slip boundary condition for a non-stationary vorticity equation. This condition generates the affine invariant manifold and no-slip integral relations on vorticity can be transferred to a Robin-type boundary condition.Comment: arXiv admin note: substantial text overlap with arXiv:2106.1529
We construct a smooth area preserving flow on a genus 2 surface with exactly one open uniquely ergod...
We consider the three-dimensional Euler equations in a domain with a free boundary with no surface t...
After casting Euler-$\alpha$ equations into vorticity-stream function formula, we obtain some very u...
We derive the vorticity equation for an incompressible fluid on a 2-dimensional surface with arbitra...
For steady two-dimensional flows with a single eddy (i.e. nested closed streamlines) in a simply con...
We prove that free boundary incompressible Euler equations are locally well posed in a class of solu...
The study solves the general solution to 2D steady Navier-Stokes equation for incompressible flow wi...
This paper treats the stationary Stokes problem in exterior domain of $\mathbb{R}^3$ with Navier sli...
The dynamical equation of the boundary vorticity has been obtained, which shows that the viscosity a...
. The vanishing viscosity limit is considered for the incompressible 2D NavierStokes equations in a ...
• We devise vorticity boundary conditions on solid walls, which possess physical and geometrical inf...
The problem of a dipole incident normally on a rigid boundary, for moderate to large Reynolds number...
In this note, we show that if the initial vorticity ! 0 is a C ff(\Omega 0 ) non-constant patch, i...
We study the evolution of solutions to the 2D Euler equations whose vorticity is sharply concentrate...
We study the initial-boundary value problem of the Navier-Stokes equations for incompressible fluids...
We construct a smooth area preserving flow on a genus 2 surface with exactly one open uniquely ergod...
We consider the three-dimensional Euler equations in a domain with a free boundary with no surface t...
After casting Euler-$\alpha$ equations into vorticity-stream function formula, we obtain some very u...
We derive the vorticity equation for an incompressible fluid on a 2-dimensional surface with arbitra...
For steady two-dimensional flows with a single eddy (i.e. nested closed streamlines) in a simply con...
We prove that free boundary incompressible Euler equations are locally well posed in a class of solu...
The study solves the general solution to 2D steady Navier-Stokes equation for incompressible flow wi...
This paper treats the stationary Stokes problem in exterior domain of $\mathbb{R}^3$ with Navier sli...
The dynamical equation of the boundary vorticity has been obtained, which shows that the viscosity a...
. The vanishing viscosity limit is considered for the incompressible 2D NavierStokes equations in a ...
• We devise vorticity boundary conditions on solid walls, which possess physical and geometrical inf...
The problem of a dipole incident normally on a rigid boundary, for moderate to large Reynolds number...
In this note, we show that if the initial vorticity ! 0 is a C ff(\Omega 0 ) non-constant patch, i...
We study the evolution of solutions to the 2D Euler equations whose vorticity is sharply concentrate...
We study the initial-boundary value problem of the Navier-Stokes equations for incompressible fluids...
We construct a smooth area preserving flow on a genus 2 surface with exactly one open uniquely ergod...
We consider the three-dimensional Euler equations in a domain with a free boundary with no surface t...
After casting Euler-$\alpha$ equations into vorticity-stream function formula, we obtain some very u...