7 papers
Asymptotic stability of steady states for the compressible Navier-Stokes-Riesz system in the presence of vacuum
José A. Carrillo, Renjun Duan, Aneta Wróblewska-Kamińska +1
We consider a one-dimensional physical vacuum free boundary problem on the compressible Navier-Stokes-Riesz system for an attractive Riesz potential with $0<s<1…
Incompressible limits at large Mach number for a reduced compressible MHD system
Francesco Fanelli, Young-Sam Kwon, Aneta Wróblewska-Kamińska
This paper studies a singular limit problem for a reduced model for compressible non-resistive MHD which was first introduced in \cite{Li-Sun_JDE, Li-Sun} in a two-dimensional sett…
Coupled Vlasov and non-Newtonian fluid dynamics: existence and large-time behavior
Young-Pil Choi, Jinwook Jung, Aneta Wróblewska-Kamińska
We study a coupled kinetic-non-Newtonian fluid system on the periodic domain , where particles evolve by a Vlasov equation and interact with an incompressible power-…
Stochastic parabolic equations in Musielak-Orlicz spaces with discontinuous in time N-function
Piotr Gwiazda, Jakub Woźnicki, Aneta Wróblewska-Kamińska +1
We consider a stochastic parabolic partial differential equation with Dirichlet boundary conditions, multiplicative stochastic noise, and a monotone parabolic operator A. The growt…
Lipschitz stability for Bayesian inference in porous medium tissue growth models
Tomasz Dębiec, Piotr Gwiazda, Błażej Miasojedow +3
We consider a macroscopic model for the dynamics of living tissues incorporating pressure-driven dispersal and pressure-modulated proliferation. Given a power-law constitutive rela…
Rigorous derivation of magneto-Oberbeck-Boussinesq approximation with non-local temperature term
Piotr Gwiazda, Florian Oschmann, Aneta Wróblewska-Kamińska
We consider a general compressible, viscous, heat and magnetically conducting fluid described by the compressible Navier-Stokes-Fourier system coupled with induction equation. In p…