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Two phase flows of compressible viscous fluids
Eduard Feireisl, Antonin Novotny
We introduce a new concept of dissipative varifold solution to models of two phase compressible viscous fluids. In contrast with the existing approach based on the Young measure de…
Weak solutions for a bi-fluid model for a mixture of two compressible non interacting fluids with general boundary data
Stanislav Kracmar, Young-Sam Kwon, Sarka Necasova +1
We prove global existence of weak solutions for a version of one velocity Baer-Nunziato system with dissipation describing a mixture of two non interacting viscous compressible flu…
Weak-strong uniqueness property for models of compressible viscous fluids near vacuum
Eduard Feireisl, Antonin Novotny
We extend the weak-strong uniqueness principle to general models of compressible viscous fluids near/on the vacuum. In particular, the physically relevant case of positive density…
Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids
Bumja Jin, Young-Sam Kwon, Sarka Necasova +1
Following Abbatiello et al. [ DCCDS-A (41), 2020], we introduce dissipative turbulent solutions to a simple model of a mixture of two non interacting compressible fluids {\tc filli…
Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions
Jan Brezina, Eduard Feireisl, Antonin Novotny
We consider the barotropic Navier--Stokes system describing the motion of a viscous compressible fluid interacting with the outer world through general in/out flux boundary conditi…
On convergence to equilibria of flows of compressible viscous fluids under in/out-flux boundary conditions
Jan Brezina, Eduard Feireisl, Antonin Novotny
We consider the barotropic Navier--Stokes system describing the motion of a compressible Newtonian fluid in a bounded domain with in and out flux boundary conditions. We show that…