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math.AP2026
Global weak solutions to a compressible Navier--Stokes/Cahn--Hilliard system with singular entropy of mixing
Danica BasariÄ, Andrea Giorgini
We study a Navier-Stokes/Cahn-Hilliard system modeling the evolution of a compressible binary mixture of viscous fluids undergoing phase separation. The novelty of this work is a f…
math.AP2025
Qualitative derivation of a density dependent incompressible Darcy law
Danica BasariÄ, Florian Oschmann, Jiaojiao Pan
This paper provides the first study of the homogenization of the 3D non-homogeneous incompressible Navier--Stokes system in perforated domains with holes of supercritical size. The…
math.AP2024
Local existence and conditional regularity for the Navier-Stokes-Fourier system driven by inhomogeneous boundary conditions
Anna Abbatiello, Danica Basaric, Nilasis Chaudhuri +1
We consider the Navier-Stokes-Fourier system with general inhomogeneous Dirichlet-Neumann boundary conditions. We propose a new approach to the local well-posedness problem based o…