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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
Steady compressible Navier-Stokes-Fourier system with general temperature dependent viscosities I: density estimates based on Bogovskii operator
Ondřej Kreml, Tomasz Piasecki, Milan Pokorný +1
The aim of this paper is to reconsider the existence theory for steady compressible Navier--Stokes--Fourier system assuming more general condition of the dependence of the viscosit…