7 papers
Two-phase compressible/incompressible Navier--Stokes system with inflow-outflow boundary conditions
Milan Pokornyý, Aneta Wróblewska-Kamińska, Ewelina Zatorska
We prove the existence of a weak solution to the compressible Navier--Stokes system with singular pressure that explodes when density achieves its congestion level. This is a quant…
On the influence of gravity in the dynamics of geophysical flows
Daniele Del Santo, Francesco Fanelli, Gabriele Sbaiz +1
In the present paper, we study a multiscale limit for the barotropic Navier-Stokes system with Coriolis and gravitational forces, for vanishing values of the Mach, Rossby and Froud…
A multi-scale problem for viscous heat-conducting fluids in fast rotation
Daniele Del Santo, Francesco Fanelli, Gabriele Sbaiz +1
In the present paper, we study the combined incompressible and fast rotation limits for the full Navier-Stokes-Fourier system with Coriolis, centrifugal and gravitational forces, i…
Relative Entropy Method for the relaxation limit of Hydrodynamic models
José A. Carrillo, Yingping Peng, Aneta Wróblewska-Kamińska
We show how to obtain general nonlinear aggregation-diffusion models, including Keller-Segel type models with nonlinear diffusions, as relaxations from nonlocal compressible Euler-…
The incompressible limit of compressible finitely extensible nonlinear bead-spring chain models for dilute polymeric fluids
Endre Süli, Aneta Wróblewska-Kamińska
We explore the behaviour of global-in-time weak solutions to a class of bead-spring chain models, with finitely extensible nonlinear elastic (FENE) spring potentials, for dilute po…
Pressureless Euler with nonlocal interactions as a singular limit of degenerate Navier-Stokes system
José A. Carrillo, Aneta Wróblewska-Kamińska, Ewelina Zatorska
We show that weak solutions of degenerate Navier-Stokes equations converge to the strong solutions of the pressureless Euler system with linear drag term, Newtonian repulsion and q…