3 papers
math.AP2025
Free Boundary Problem for inhomogeneous Navier-Stokes equations
Piotr B. Mucha, Tomasz Piasecki, Yoshihiro Shibata
We study free boundary problems for incompressible inhomogeneous flows governed by the Navier--Stokes equations, focusing on the regularity and global-in-time well-posedness of sol…
math.AP2025
The global well-posedness for the Q-tensor model of nematic liquid crystals in the half-space
Daniele Barbera, Miho Murata, Yoshihiro Shibata
In this paper, we consider the Q-tensor model of nematic liquid crystals, which couples the Navier-Stokes equations with a parabolic-type equation describing the evolution of the d…
math.AP2025
On the -maximal regularity in the study of free boundary problem for the compressible fluid flows
Yuko Enomoto, Yoshihiro Shibata
In this paper, we consider the Stokes equations with non-homogeneous free boundary conditions, which is obtained by the linearization procedure of the free boundary problem of the…