12 citations · 44 across the 23 of their papers we have counts for
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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 …