97 citations · 327 across the 42 of their papers we have counts for
7 papers · 2 filters
Flocking particles in a non-Newtonian shear thickening fluid
Piotr B. Mucha, Jan Peszek, Milan Pokorny
We prove existence and uniqueness of strong solutions to the Cucker--Smale flocking model coupled with an incompressible viscous non-Newtonian fluid, with the stress tensor of a po…
Total variation denoising in anisotropy
Michał Łasica, Salvador Moll, Piotr B. Mucha
We aim at constructing solutions to the minimizing problem for the variant of Rudin-Osher-Fatemi denoising model with rectilinear anisotropy and to the gradient flow of its underly…
Steady solutions to viscous shallow water equations. The case of heavy water
Šimon Axmann, Piotr B. Mucha, Milan Pokorný
In this note, we show the existence of regular solutions to the stationary version of the Navier-Stokes system for compressible fluids with a density dependent viscosity, known as…
Existence of weak solutions for compressible Navier-Stokes equations with entropy transport
David Maltese, Martin Michalek, Piotr B. Mucha +3
We consider the compressible Navier-Stokes system with variable entropy. The pressure is a nonlinear function of the density and the entropy/potential temperature which, unlike in…
Compressible Navier-Stokes system : large solutions and incompressible limit
Raphaël Danchin, Piotr B. Mucha
Here we prove the existence of global in time regular solutions to the two-dimensional compressible Navier-Stokes equations supplemented with arbitrary large initial velocity $v\_0…
Stability of high-temperature viscous flows. A case of pudding model
Piotr B. Mucha, Agnieszka Świerczewska-Gwiazda
We investigate the Navier-Stokes-Fourier system for incompressible heat conducting inhomogeneous fluid. The main result concerns existence of global in time regular large solutions…
Stabilizing the Long-time Behavior of the Navier-Stokes Equations and Damped Euler Systems by Fast Oscillating Forces
Jacek Cyranka, Piotr B Mucha, Edriss S Titi +1
The paper studies the issue of stability of solutions to the Navier-Stokes and damped Euler systems in periodic boxes. We show that under action of fast oscillating-in- time extern…