12 citations · 44 across the 23 of their papers we have counts for
24 papers
Viscous flow past a translating body with oscillating boundary
Thomas Eiter, Yoshihiro Shibata
We study an incompressible viscous flow around an obstacle with an oscillating boundary that moves by a translational periodic motion, and we show existence of strong time-periodic…
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…
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…
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…
Global well posedness for a Q-tensor model of nematic liquid crystals
Miho Murata, Yoshihiro Shibata
In this paper, we prove the global well posedness and the decay estimates for a -tensor model of nematic liquid crystals in , . This system is cou…
New thought on Matsumura-Nishida theory in the - maximalregularity framework
Yoshihiro Shibata
In this paper, we prove the global wellposedness of the Navier-Stokes equations describing a motion of compressible, viscous, barotropic fluid flow in a 3 dim. exterior domain in t…
Local Well-posedness for Free Boundary Problem of Viscous Incompressible Magnetohydrodynamics
Kenta Oishi, Yoshihiro Shibata
In this paper, we consider the motion of incompressible magnetohydrodynamics (MHD) with resistivity in a domain bounded by a free surface. The free boundary problem for MHD is an i…
The - decay estimate for the multidimensional compressible flow with free surface in the exterior domain
Yoshihiro Shibata, Xin Zhang
The aim of this paper is to develop the general theory for the barotropic compressible Navier-Stokes equations with the free boundary condition in the exterior domain in $\ma…
Local Well-posedness for the Magnetohydrodynamics in the different two liquids case
Elena Frolova, Yoshihiro Shibata
We prove the local well-posedness for a two phase problem of magnetohydrodynamics with a sharp interface. The solution is obtained in the maximal regularity space: $H^1_p((0, T), L…
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…
Some free boundary problem for two phase inhomogeneous incompressible flow
Hirokazu Saito, Yoshihiro Shibata, Xin Zhang
In this paper, we establish some local and global solutions for the two phase incompressible inhomogeneous flows with moving interfaces in maximal regularity class. Compa…
Generation of semigroups for the thermoelastic plate equation with free boundary conditions
Robert Denk, Yoshihiro Shibata
We consider the linear thermoelastic plate equations with free boundary conditions in uniform -domains, which includes the half-space, bounded and exterior domains. We show th…
On strong dynamics of compressible two-component mixture flow
Tomasz Piasecki, Yoshihiro Shibata, Ewelina Zatorska
We investigate a system describing the flow of a compressible two-component mixture. The system is composed of the compressible Navier-Stokes equations coupled with non-symmetric r…
On decay properties of solutions to the Stokes equations with surface tension and gravity in the half space
Hirokazu Saito, Yoshihiro Shibata
In this paper, we proved decay properties of solutions to the Stokes equations with surface tension and gravity in the half space $\mathbf{R}_{+}^{N}=\{(x',x_N)\mid x'\in\mathbf{R}…
On the -boundedness for the two phase problem with phase transition: compressible-incompressible model problem
Yoshihiro Shibata
In this paper, we prove the maximal - regularity of the compressible and incompressible two phase flow with phase transition in the model problem case with the help of ${…
Local well-posedness of compressible-incompressible two-phase flows with phase transitions
Yoshihiro Shibata
This paper is concerned with the basic model for compressible and incompressible two phase flows with phase transitions The flows are separated by nearly flat interface represented…
On some free boundary problem of the Navier-Stokes equations in the maximal - regularity class
Yoshihiro Shibata
This paper is concerned with the free boundary problem for the Navier Stokes equations without surface tension in the in time and in space setting with …
On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities
Jan Pruess, Senjo Shimizu, Yoshihiro Shibata +1
The basic model for incompressible two-phase flows with phase transitions is derived from basic principles and shown to be thermodynamically consistent in the sense that the total…