97 citations · 327 across the 42 of their papers we have counts for
50 papers
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…
A Polarization Opinion Model Inspired by Bounded Confidence Communications
Jacek Cyranka, Piotr B. Mucha
We present an opinion model founded upon the principles of the bounded confidence interaction among agents. Our objective is to explain the polarization effects inherent to vector-…
A multifluid model with chemically reacting components -- construction of weak solutions
Piotr B. Mucha, Sarka Necasova, Maja Szlenk
We investigate the existence of weak solutions to a multi-component system, consisting of compressible chemically reacting components, coupled with the compressible Stokes equation…
A new construction of weak solutions to compressible Navier-Stokes equations
Nilasis Chaudhuri, Piotr B. Mucha, Ewelina Zatorska
We prove the existence of the weak solutions to the compressible Navier--Stokes system with barotropic pressure for in three space dimension. The…
A fuzzy -closest alignment model
Piotr B. Mucha, Jan Peszek
The paper examines the problems related to the well-posedness of the Cucker-Smale model with communication restricted to the -closest neighbors, known also as the Cucker-Dong mo…
Burgers' equation revisited: extension of mono-dimensional case on a network
Piotr Bogusław Mucha, Aleksandra Puchalska
The paper deals with the analysis of Burgers' equation on acyclic metric graphs. The main goal is to establish the existence of weak solutions in the -- class of regularity. A…