11 citations · 16 across the 7 of their papers we have counts for
8 papers
Maximal -regularity and free boundary problems for the incompressible Navier-Stokes equations in critical spaces
Takayoshi Ogawa, Senjo Shimizu
Time-dependent free surface problem for the incompressible Navier-Stokes equations which describes the motion of viscous incompressible fluid nearly half-space are considered. We o…
Maximal -regularity for parabolic initial-boundary value problems with inhomogeneous data
Takayoshi Ogawa, Senjo Shimizu
End-point maximal -regularity for parabolic initial-boundary value problems is considered. For the inhomogeneous Dirichlet and Neumann data, maximal -regularity for initi…
-Helmholtz-Weyl decomposition for three dimensional exterior domains
Matthias Hieber, Hideo Kozono, Anton Seyfert +2
In this article the Helmholtz-Weyl decomposition in three dimensional exterior domains is established within the -setting for .
Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in half-plane
P. Maremonti, S. Shimizu
We investigate the Navier-Stokes initial boundary value problem in the half-plane with initial data or with non decaying initial…
On incompressible two-phase flows with phase transitions and variable surface tension
Jan Pruess, Senjo Shimizu, Gieri Simonett +1
Our study of the basic model for incompressible two-phase flows with phase transitions consistent with thermodynamics [10,11,12,16] is extended to the case of temperature-dependent…
Qualitative behaviour of incompressible two-phase flows with phase transitions: The case of non-equal densities
Jan Pruess, Senjo Shimizu, Mathias Wilke
Our study of a basic model for incompressible two-phase flows with phase transitions consistent with thermodynamics in the case of constant but non-equal densities of the phases, b…
On the qualitative behavior of incompressible two-phase flows with phase transitions: the case of equal densities
Jan Pruess, Gieri Simonett, Rico Zacher
The study of the basic model for incompressible two-phase flows with phase transitions in the case of equal densities, initiated in the paper Prüss, Shibata, Shimizu, and Simonett…
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…