12 citations · 21 across the 11 of their papers we have counts for
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math.AP2019
On the global wellposedness of free boundary problem for the Navier-Stokes system with surface tension
Hirokazu Saito, Yoshihiro Shibata
The aim of this paper is to show the global wellposedness of the Navier-Stokes equations, including surface tension and gravity, with a free surface in an unbounded domain such as…
math.AP2019★ 2 cited
Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains
Hirokazu Saito, Xin Zhang
This paper shows the unique solvability of elliptic problems associated with two-phase incompressible flows, which are governed by the two-phase Navier-Stokes equations, in unbound…
math.AP2019★ 3 cited
Existence of -bounded solution operator families for a compressible fluid model of Korteweg type on the half-space
Hirokazu Saito
The aim of this paper is to show the existence of -bounded solution operator families for a generalized resolvent problem on the half-space arising from a compressible…