4 citations · 17 across the 18 of their papers we have counts for
23 papers
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…
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…
Regular solutions to the dissipative Aw-Rascle system
Nilasis Chaudhuri, Tomasz Piasecki, Ewelina Zatorska
In this paper we prove the local-in-time existence of regular solutions to dissipative Aw-Rascle system with the offset equal to gradient of some increasing and regular function of…
Comparative Analysis of Obstacle Approximation Strategies for the Steady Incompressible Navier-Stokes Equations
Piotr Krzyżanowski, Sadokat Malikova, Piotr B. Mucha +1
This paper aims to compare and evaluate various obstacle approximation techniques employed in the context of the steady incompressible Navier-Stokes equations. Specifically, we inv…
Stability of the density patches problem with vacuum for incompressible inhomogeneous viscous flows
Raphaël Danchin, Piotr B. Mucha, Tomasz Piasecki
We consider the inhomogeneous incompressible Navier-Stokes system in a smooth two or three dimensional bounded domain, in the case where the initial density is only bounded. Existe…
Maximal Regularity for Compressible Two-Fluid System
Tomasz Piasecki, Ewelina Zatorska
We investigate a compressible two-fluid Navier-Stokes type system with a single velocity field and algebraic closure for the pressure law. The constitutive relation involves densit…