Zobrazeno 1 - 10
of 334
pro vyhledávání: '"Szlenk A"'
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
We compare the multi-dimensional generalisation of the Aw-Rascle model with the pressureless Euler-alignment system, in which the communication weight is matrix-valued. Our generalisation includes the velocity offset in the form of a gradient of a no
Externí odkaz:
http://arxiv.org/abs/2409.07593
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
Autor:
Burtea, Cosmin, Szlenk, Maja
We prove the existence of weak solutions to steady, compressible non-Newtonian Navier-Stokes system on a bounded, two- or three-dimensional domain. Assuming the viscous stress tensor is monotone satisfying a power-law growth with power $r$ and the pr
Externí odkaz:
http://arxiv.org/abs/2401.05328
Autor:
Katarzyna Dobruch-Sobczak, Axana Szlenk, Magdalena Gumowska, Joanna Mączewska, Katarzyna Fronczewska, Ewa Łukasiewicz, Katarzyna Roszkowska-Purska, Magda Jakubczak
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-11 (2024)
Abstract The presence and extent of metastatic disease in axillary lymph nodes (ALNs) in the setting of breast cancer (BC) are important factors for staging and therapy planning. The purpose of this study was to perform a multiparametric sonographic
Externí odkaz:
https://doaj.org/article/be18c2e4fcec4f9e9090cfdd0a901284
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
Autor:
Dobruch-Sobczak, Katarzyna1,2 (AUTHOR) katarzyna.dobruch-sobczak@pib-nio.pl, Szlenk, Axana1 (AUTHOR), Gumowska, Magdalena1 (AUTHOR), Mączewska, Joanna1 (AUTHOR), Fronczewska, Katarzyna1 (AUTHOR), Łukasiewicz, Ewa1 (AUTHOR), Roszkowska-Purska, Katarzyna3 (AUTHOR), Jakubczak, Magda1 (AUTHOR)
Publikováno v:
Scientific Reports. 10/4/2024, Vol. 14 Issue 1, p1-11. 11p.
Weak solutions for the Stokes system for compressible non-Newtonian fluids with unbounded divergence
Autor:
Pokorný, Milan, Szlenk, Maja
We investigate the existence of weak solutions to a certain system of partial differential equations, modelling the behaviour of a compressible non-Newtonian fluid for small Reynolds number. We construct the weak solutions despite the lack of the $L^
Externí odkaz:
http://arxiv.org/abs/2208.03978
Publikováno v:
In Nonlinear Analysis: Real World Applications December 2024 80
Autor:
Szlenk, Maja
We prove existence and uniqueness of global in time weak solutions for the Stokes system for compressible fluids with a general, non-monotone pressure. We construct the solution at the level of Lagrangian formulation and then define the transformatio
Externí odkaz:
http://arxiv.org/abs/2103.08726