2 papers
math.AP2020
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}_…
math.AP2015
Solvability of the Initial-Boundary value problem of the Navier-Stokes equations with rough data
Tongkeun Chang, Bum Ja Jin
In this paper, we study the initial and boundary value problem of the Navier-Stokes equations in the half space. We prove the unique existence of weak solution $u\in L^q(\R_+\times…