2 citations · 3 across the 23 of their papers we have counts for
23 papers
Global well-posedness and time-decay estimates of the Navier-Stokes equations in exterior domains for critical data
Tongkeun Chang, Bum Ja Jin
It is well known that the Navier-Stokes equations have unique global strong solutions for standard domains when initial data are small in . Global well-posedness has been ex…
Asymptotic properties of the Stokes flow in an exterior domain with slowly decaying initial data and its application to the Navier-Stokes equations
Tongkeun Chang, Bum Ja Jin
In this paper, we study the decay rate of the Stokes flow in an exterior domain with a slowly decaying initial data ${\bf u}_0(x)=O(|x|^{-\al}), 0<\al\leq n$. %which is not i…
Singular weak solutions near boundaries in a half space away from localized force for the Stokes and Navier-Stokes equations
Tongkeun Chang, Kyungkeun Kang
We prove that there exists a weak solution of the Stokes system with a non-zero external force and no-slip boundary conditions in a half space of dimensions three and higher so tha…
Local regularity near boundary for the Stokes and Navier-Stokes equations
Tongkeun Chang, Kyungkeun Kang
We are concerned with local regularity of the solutions for the Stokes and Navier-Stokes equations near boundary. Firstly, we construct a bounded solution but its normal derivative…
On initial-boundary value problem of the stochastic Navier--Stokes equations in the half space
Tongkeun Chang, Minsuk Yang
We study the initial-boundary value problem of the stochastic Navier--Stokes equations in the half space. We prove the existence of weak solutions in the standard Besov space value…
Global well-posedness of the half space problem of the Navier-Stokes equations in critical function spaces of limiting case
Tongkeun Chang, Bum Ja Jin
In this paper, we study the initial-boundary value problem of the Navier-Stokes equations in half-space. Let a solenoidal initial velocity be given in the function space $ \dot{B}_…