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Convergence of a finite volume scheme for the compressible Navier--Stokes system
Eduard Feireisl, Maria Lukacova-Medvidova, Hana Mizerova +1
We study convergence of a finite volume scheme for the compressible (barotropic) Navier--Stokes system. First we prove the energy stability and consistency of the scheme and show t…
A finite volume scheme for the Euler system inspired by the two velocities approach
Eduard Feireisl, Maria Lukacova-Medvidova, Hana Mizerova
We propose a new finite volume scheme for the Euler system of gas dynamics motivated by the model proposed by H. Brenner. Numerical viscosity imposed through upwinding acts on the…
Convergence of finite volume schemes for the Euler equations via dissipative measure--valued solutions
Eduard Feireisl, Maria Lukacova-Medvidova, Hana Mizerova
The Cauchy problem for the complete Euler system is in general ill posed in the class of admissible (entropy producing) weak solutions. This suggests there might be sequences of ap…