12 citations · 44 across the 23 of their papers we have counts for
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Falling drop in an unbounded liquid reservoir: Steady-state solutions
Thomas Eiter, Mads Kyed, Yoshihiro Shibata
The equations governing the motion of a three-dimensional liquid drop moving freely in an unbounded liquid reservoir under the influence of a gravitational force are investigated.…
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…
On periodic solutions for one-phase and two-phase problems of the Navier-Stokes equations
Thomas Eiter, Mads Kyed, Yoshihiro Shibata
This paper is devoted to proving the existence of time-periodic solutions of one-phase or two-phase problems for the Navier-Stokes equations with small periodic external forces whe…
The global well-posedness for the compressible fluid model of Korteweg type
Miho Murata, Yoshihiro Shibata
In this paper, we consider the compressible fluid model of Korteweg type which can be used as a phase transition model. It is shown that the system admits a unique, global strong s…
R Boundedness, Maximal Regularity and Free Boundary Problems for the Navier-Stokes Equations
Yoshihiro Shibata
In this lecture note, we study free boundary problems for the Navier-Stokes equations with and without surface tension. The local well-posedness, the global well-posedness, and asy…
On the maximal - regularity of solutions to a general linear parabolic system
Tomasz Piasecki, Yoshihiro Shibata, Ewelina Zatorska
We show the existence of solution in the maximal regularity framework to a class of symmetric parabolic problems on a uniformly domain in . Our approa…
On the isothermal compressible multi-component mixture flow: the local existence and maximal regularity of solutions
Tomasz Piasecki, Yoshihiro Shibata, Ewelina Zatorska
We consider the initial-boundary value problem for the system of equations describing the flow of compressible isothermal mixture of arbitrary large number of components. The syste…