The primary goal of this paper is to develop robust methods to handle two ubiquitous
features appearing in the modeling of geophysical flows:(i) the anisotropy of the viscous …

We prove the existence of weak solutions to steady, compressible non-Newtonian Navier-
Stokes system on a bounded, two-or three-dimensional domain. Assuming the viscous …

In this paper, we prove the existence of weak solutions for the stationary compressible
Navier-Stokes equations with an anisotropic and nonlocal viscous stress tensor in a periodic …

In this paper, we construct global weak solutionsà la Hoff (ie intermediate regularity) for the
compressible Navier-Stokes system governing a barotropic fluid with a pressure law p (ρ) …

This paper deals with the Navier-Stokes system governing the evolution of a compressible
barotropic fluid. We extend D. Hoff's intermediate regularity solutions framework by relaxing …

We prove existence and uniqueness of global in time weak solutions for the Stokes system
for compressible fluids with a general, non-monotone pressure. We construct the solution at …

The topic of the thesis is focused on different compactness methods used to construct weak
solutions to equations describing the dynamics of viscous compressible fluids. The problems …

This manuscript deals with compressible-incompressible transitions arising in partial
differential equations of fluid mechanics. We investigate two problems: floating structures …