2 citations · 3 across the 7 of their papers we have counts for
9 papers · 1 filter
Dissipative Solutions to a Compressible Non-Newtonian Korteweg System with Density-Dependent Viscous Stress Tensor
Didier Bresch, Christophe Lacave, Maja Szlenk
The main objective of this paper is to prove that if capillarity effect is taken into account then there exist dissipative solutions to a system describing viscoplastic compressibl…
Discontinuous shear-thickening asymptotic for power-law systems related to compressible flows
Didier Bresch, Cosmin Burtea, Maja Szlenk
In this paper we study the convergence of a power-law model for dilatant compressible fluids to a class of models exhibiting a maximum admissible shear rate, called thick compressi…
Inhomogenous Navier--Stokes equations with unbounded density
Jean-Paul Adogbo, Piotr B. Mucha, Maja Szlenk
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-establi…
Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment
Nilasis Chaudhuri, Jan Peszek, Maja Szlenk +1
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 general…
Construction of weak solutions to a pressureless viscous model driven by nonlocal attraction-repulsion
Piotr B. Mucha, Maja Szlenk, Ewelina Zatorska
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 existe…
Weak solutions to the Navier-Stokes equations for steady compressible non-Newtonian fluids
Cosmin Burtea, Maja Szlenk
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 tens…
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…
Weak solutions for the Stokes system for compressible non-Newtonian fluids with unbounded divergence
Milan Pokorný, Maja Szlenk
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 Reynol…
Weak solutions for the Stokes system for compressible fluids with general pressure
Maja Szlenk
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…