Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Szlenk, Maja"'
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
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
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
Autor:
Szlenk, Maja
Publikováno v:
In Journal of Differential Equations 5 March 2022 312:317-346
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