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20192021
most citedDissipative solutions to compressible Navier-Stokes equations with general inflow-outflow data: existence, stability and weak strong uniqueness

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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,…

math.NA2020

Consistency, convergence and error estimates for a mixed finite element / finite volume scheme to compressible Navier-Stokes equations with general inflow/outflow boundary data

Young-Sam Kwon, Antonin Novotny

We study convergence of a mixed finite element-finite volume scheme for the compressible Navier Stokes equations in the isentropic regime under the full range of the adiabatic coef…