253 citations · 685 across the 30 of their papers we have counts for
3 papers · 1 filter
Generalized solutions to models of compressible viscous fluids
Anna Abbatiello, Eduard Feireisl, Antonin Novotny
We propose a new approach to models of general compressible viscous fluids based on the concept of dissipative solutions. These are weak solutions satisfying the underlying equatio…
Dissipative solutions to compressible Navier-Stokes equations with general inflow-outflow data: existence, stability and weak strong uniqueness
Young-Sam Kwon, Antonin Novotny, Vladyslav Satko
So far existence of dissipative weak solutions for the compressible Navier-Stokes equations (i.e. weak solutions satisfying the relative energy inequality) is known only in the cas…
Continuity equation and vacuum regions in compressible flows
Antonin Novotny, Milan Pokorny
We investigate the creation and properties of eventual vacuum regions in the weak solutions of the continuity equation, in general, and in the weak solutions of compressible Navier…