activity
20132021
most citedDissipative solutions to compressible Navier-Stokes equations with general inflow-outflow data: existence, stability and weak strong uniqueness

1 citations · 1 across the 10 of their papers we have counts for

collaborators

17 papers

math.AP2021

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…

math.AP2021

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…

math.AP2021

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…

math.AP2021

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…

math.AP2020

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…

math.NA2020

Construction of weak solutions to compressible Navier--Stokes equations with general inflow/outflow boundary conditions via a numerical approximation

Young-Sam Kwon, Antonin Novotny

The construction of weak solutions to compressible Navier-Stokes equations via a numerical method (including a rigorous proof of the convergence) is in a short supply, and so far,…