6 papers
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…
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…
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…