Zobrazeno 1 - 10
of 130
pro vyhledávání: '"Mucha, Piotr B."'
In the current state of the art regarding the Navier--Stokes equations, the existence of unique solutions for incompressible flows in two spatial dimensions is already well-established. Recently, these results have been extended to models with variab
Externí odkaz:
http://arxiv.org/abs/2411.05438
The paper aims on the construction of weak solutions to equations of a model of compressible viscous fluids, being a simplification of the classical compressible Navier-Stokes system. We present a novel scheme for approximating systems that preserves
Externí odkaz:
http://arxiv.org/abs/2409.16933
We analyze the pressureless Navier-Stokes system with nonlocal attraction-repulsion forces. Such systems appear in the context of models of collective behavior. We prove the existence of weak solutions on the whole space $\mathbb{R}^3$ in the case of
Externí odkaz:
http://arxiv.org/abs/2402.10716
This paper aims to compare and evaluate various obstacle approximation techniques employed in the context of the steady incompressible Navier-Stokes equations. Specifically, we investigate the effectiveness of a standard volume penalization approxima
Externí odkaz:
http://arxiv.org/abs/2401.02356
Autor:
Cyranka, Jacek, Mucha, Piotr B.
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-valued opinions. The evolutionary process adheres to the rule where ea
Externí odkaz:
http://arxiv.org/abs/2312.14599
We investigate the existence of weak solutions to a multi-component system, consisting of compressible chemically reacting components, coupled with the compressible Stokes equation for the velocity. Specifically, we consider the case of irreversible
Externí odkaz:
http://arxiv.org/abs/2307.11911
We prove the existence of the weak solutions to the compressible Navier--Stokes system with barotropic pressure $p(\varrho)=\varrho^\gamma$ for $\gamma\geq 9/5$ in three space dimension. The novelty of the paper is the approximation scheme that inste
Externí odkaz:
http://arxiv.org/abs/2211.12189
Autor:
Mucha, Piotr B., Peszek, Jan
The paper examines the problems related to the well-posedness of the Cucker-Smale model with communication restricted to the $q$-closest neighbors, known also as the Cucker-Dong model. With agents oscillating on the boundary of different clusters, th
Externí odkaz:
http://arxiv.org/abs/2210.05319
Autor:
Cyranka, Jacek, Mucha, Piotr B.
Publikováno v:
In Journal of the Franklin Institute November 2024 361(16)
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. Existence and uniqueness for such initial data was shown recently in [10], b
Externí odkaz:
http://arxiv.org/abs/2112.06597