4 papers
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…
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…