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math.AP2018
Global in time solvability of the Navier-Stokes equations in the half-space
Tongkeun Chang, Bum Ja Jin
In this paper, we study the initial value problem of the Navier-Stokes equations in the half-space. Let a solenoidal initial velocity be given in the function space $ \dot{B}_{pq,0…
math.AP2018★ 1 cited
Initial-Boundary value problem of the Navier-Stokes equations in the half space with nonhomogeneous data
Tongkeun Chang, Bum Ja Jin
This paper discusses the solvability (global in time) of the initial-boundary value problem of the Navier-stokes equations in the half space when the initial data $ h\in \dot{ B}_{…
math.AP2018★ 2 cited
On Caccioppoli's inequalities of Stokes equations and Navier-Stokes equations near boundary
Tongkeun Chang, Kyungkeun Kang
We study Caccioppoli's inequalities of the non-stationary Stokes equations and Navier-Stokes equations. Our analysis is local near boundary and we prove that, in contrast to the in…