97 citations · 327 across the 42 of their papers we have counts for
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The Navier-Stokes equations. Regularity of fast flows and Sobolev imbedding
Piotr B. Mucha
The paper proves existence of a large class of smooth solutions to the incompressible Navier-Stokes equations in the three dimensional space. The viscosity coefficient is put to be…
Stationary compressible Navier Stokes Equations with inflow condition in domains with piecewise analytical boundaries
Piotr B. Mucha, Tomasz Piasecki
We show the existence of strong solutions in Sobolev-Slobodetskii spaces to the stationary compressible Navier-Stokes equations with inflow boundary condition. Our result holds pro…
Time-periodic solutions to the full Navier--Stokes--Fourier system with radiation on the boundary
Simon Axmann, Milan Pokorny
The Navier-Stokes-Fourier system is a well established model for describing the motion of viscous compressible heat-conducting fluids. We study the existence of time-periodic weak…
Stagnation, Creation, Breaking
Piotr B. Mucha
This note deals with the mono-dimensional equation: $\d_t u -\d_x L(u_x) =f$ with merely monotone. The goal is to examine the features of facets -- flat regions of graph…
Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution
Piotr Bogsław Mucha, Milan Pokorný, Ewelina Zatorska
We investigate a coupling between the compressible Navier-Stokes-Fourier system and the full Maxwell-Stefan equations. This model describes the motion of chemically reacting heat-c…