9 citations · 29 across the 13 of their papers we have counts for
15 papers
Global weak solutions to a compressible Navier--Stokes/Cahn--Hilliard system with singular entropy of mixing
Danica Basarić, 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…
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 a blow-up criterion for the Navier-Stokes-Fourier system under general equations of state
Anna Abbatiello, Danica Basarić, Nilasis Chaudhuri
In this paper we prove a blow-up criterion for the compressible Navier-Stokes-Fourier system for general thermal and caloric equations of state with inhomogeneous boundary conditio…
Low Mach number limit on perforated domains for the evolutionary Navier-Stokes-Fourier system
Danica Basarić, Nilasis Chaudhuri
We consider the Navier-Stokes-Fourier system describing the motion of a compressible, viscous and heat-conducting fluid on a domain perforated by tiny holes. First, we identify a c…
Conditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditions
Danica Basarić, Eduard Feireisl, Hana Mizerová
We consider the Navier-Stokes-Fourier system with the inhomogeneous boundary conditions for the velocity and the temperature. We show that solutions emanating from sufficiently reg…
On the incompressible limit of a strongly stratified heat conducting fluid
Danica Basarić, Peter Bella, Eduard Feireisl +2
A compressible, viscous and heat conducting fluid is confined between two parallel plates maintained at a constant temperature and subject to a strong stratification due to the gra…
Error estimates of a finite volume method for the compressible Navier--Stokes--Fourier system
Danica Basaric, Maria Lukacova-Medvidova, Hana Mizerova +2
In this paper we study the convergence rate of a finite volume approximation of the compressible Navier--Stokes--Fourier system. To this end we first show the local existence of a…
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…
Penalization method for the Navier-Stokes-Fourier system
Danica Basarić, Eduard Feireisl, Mária Lukáčová-Medviďová +2
We apply the method of penalization to the Dirichlet problem for the Navier-Stokes-Fourier system governing the motion of a general viscous compressible fluid confined to a bounded…
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…
Existence of weak solutions for models of general compressible viscous fluids with linear pressure
Danica Basarić
In this work we will focus on the existence of weak solutions for a system describing a general compressible viscous fluid in the case of the pressure being a linear function of th…
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…
Vanishing viscosity limit for the compressible Navier-Stokes system via measure-valued solutions
Danica Basarić
We identify a class of measure-valued solutions of the barotropic Euler system on a general (un-bounded) spatial domain as a vanishing viscosity limit for the compressible Navier-S…