Weak solutions for the Stokes system for compressible fluids with general pressure

Weak solutions for the Stokes system for compressible non‐Newtonian fluids with unbounded divergence

“…This allows us to replicate the main step in the limit passage by using certain integral inequality from Szlenk. 20…”

“…for g ∈ L q , q > 2. The inequality was first obtained for g ∈ L ∞ in Mucha and Rusin 21 and then adjusted in Szlenk 20 for a wider range of functions. In De Rosa et al, 22 the similar inequality was obtained for 𝑓 in the Orlicz space L exp .…”

“…Instead of it, we obtain the $$$ BMO $$$ regularity in space of the term $$$$ \left({\mu}_1+\lambda \right)\kern0.1em \operatorname{div}\kern0.2em u-{\varrho}^{\gamma }. $$$$ This allows us to replicate the main step in the limit passage by using certain integral inequality from Szlenk 20 …”

Weak solutions for the Stokes system for compressible non-Newtonian fluids with unbounded divergence

“…This allows us to replicate the main step in the limit passage by using certain integral inequality from [19].…”

“…for g ∈ L q , q > 2. The inequality was first obtained for g ∈ L ∞ in [17] and then adjusted in [19] for a wider range of functions.…”