7 papers · 1 filter
Qualitative derivation of a density dependent incompressible Darcy law
Danica Basarić, 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…
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…
On well-posedness of quantum fluid systems in the class of dissipative solutions
Danica Basarić, Tong Tang
The main objects of the present work are the quantum Navier-Stokes and quantum Euler systems; for the first one, in particular, we will consider constant viscosity coefficients. We…
Weak-strong uniqueness principle for compressible barotropic self-gravitating fluids
Danica Basarić
The aim of this work is to prove the weak-strong uniqueness principle for the compressible Navier-Stokes-Poisson system on an exterior domain, with an isentropic pressure of the ty…
Semiflow selection to models of general compressible viscous fluids
Danica Basarić
We prove the existence of a semiflow selection with range the space of càglàd, i.e. left--continuous and having right--hand limits functions defined on and taking valu…
Semiflow selection for the compressible Navier-Stokes system
Danica Basarić
Although the existence of dissipative weak solutions for the compressible Navier-Stokes system has already been established for any finite energy initial data, uniqueness is still…