96 citations · 490 across the 38 of their papers we have counts for
6 papers · 1 filter
Dissipative measure-valued solutions to the compressible Navier-Stokes system
Eduard Feireisl, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda +1
We introduce a new concept of dissipative measure-valued solution to the compressible Navier-Stokes system satisfying, in addition, a relevant form of the total energy balance. The…
Weak solutions for Euler systems with non-local interactions
José A. Carrillo, Eduard Feireisl, Piotr Gwiazda +1
We consider several modifications of the Euler system of fluid dynamics including its pressureless variant driven by non-local interaction repulsive-attractive and alignment forces…
The Escalator Boxcar Train method for a system of aged-structured equations
Piotr Gwiazda, Karolina Kropielnicka, Anna Marciniak-Czochra
The Escalator Boxcar Train method (EBT) is a numerical method for structured population models of McKendrick-von Foerster type. Those models consist of a certain class of hyperboli…
Weak-strong uniqueness for measure-valued solutions of some compressible fluid models
Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Emil Wiedemann
We prove weak-strong uniqueness in the class of admissible measure-valued solutions for the isentropic Euler equations in any space dimension and for the Savage-Hutter model of gra…
On weak solutions to the 2D Savage-Hutter model of the motion of a gravity driven avalanche flow
Eduard Feireisl, Piotr Gwiazda, Agnieszka Swierczewska-Gwiazda
We consider the Savage-Hutter system consisting of two-dimensional depth-integrated shallow water equations for the incompressible fluid with the Coulomb-type friction term. Using…
Analysis of a viscosity model for concentrated polymers
Miroslav Bulíček, Piotr Gwiazda, Endre Süli +1
The paper is concerned with a class of mathematical models for polymeric fluids, which involves the coupling of the Navier-Stokes equations for a viscous, incompressible, constant-…