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math.AP2015
Solvability for Stokes system in Hölder spaces in bounded domains and its applications
Tongkeun Chang, Kyungkeun Kang
We consider Stokes system in bounded domains and we present conditions of given data, in particular, boundary data, which ensure Hölder continuity of solutions. For Hölder continuo…
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…