97 citations · 327 across the 42 of their papers we have counts for
5 papers · 1 filter
Existence of stationary weak solutions for the heat conducting flows
Piotr B. Mucha, Milan Pokorný, Ewelina Zatorska
The steady compressible Navier--Stokes--Fourier system is considered, with either Dirichlet or Navier boundary conditions for the velocity and the heat flux on the boundary proport…
The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness
Piotr B. Mucha, Jan Peszek
The Cucker-Smale flocking model belongs to a wide class of kinetic models that describe a collective motion of interacting particles that exhibit some specific tendency e.g. to agg…
A local and global well-posedness results for the general stress-assisted diffusion systems
Marta Lewicka, Piotr B. Mucha
We prove the local and global in time existence of the classical solutions to two general classes of the stress-assisted diffusion systems. Our results are applicable in the contex…
A construction of two different solutions to an elliptic system
Jacek Cyranka, Piotr Bogusław Mucha
The paper aims at constructing two different solutions to an elliptic system defined on the two dimensional torus. It can be viewed as an ell…
Decently regular steady solutions to the compressible NSAC system
Šimon Axmann, Piotr B. Mucha
We aim at proving existence of weak solutions to the stationary compressible Navier-Stokes system coupled with the Allen-Cahn equation. The model is studied in a bounded three dime…