12 citations · 44 across the 23 of their papers we have counts for
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math.AP2022★ 2 cited
Periodic Lp estimates by R-boundedness: Applications to the Navier-Stokes equations
Thomas Eiter, Mads Kyed, Yoshihiro Shibata
General evolution equations in Banach spaces are investigated. Based on an operator-valued version of de Leeuw's transference principle, time-periodic estimates of maximal re…
math.AP2022
On the global well-posedness and decay of a free boundary problem of the Navier-Stokes equation in unbounded domains
Kenta Oishi, Yoshihiro Shibata
In this paper, we establish the unique existence and some decay properties of a global solution of a free boundary problem of the incompressible Navier-Stokes equations in in…
math.AP2022★ 6 cited
Global wellposedness of the 3D compressible Navier-Stokes equations with free surface in the maximal regularity class
Yoshihiro Shibata, Xin Zhang
This paper concerns the global well posedness issue of the Navier-Stokes equations (CNS) describing barotropic compressible fluid flow with free surface occupied in the three dimen…