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arXiv · 2203.02159

Analysis of an alternative Navier-Stokes system: Weak entropy solutions and a convergent numerical scheme

Magnus Svärd
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Abstract

We consider an alternative Navier-Stokes model for compressible viscous ideal gases, originally proposed in \cite{Svard18}. We derive a priori estimates that are sufficiently strong to support a weak entropy solution of the system. Guided by these estimates, we propose a finite volume scheme, derive the analogous estimates and demonstrate grid convergence towards a weak entropy solution. Furthermore, this existence proof is valid for "large" initial data and no a priori assumptions on the solution are needed.

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Magnus Svärd. 2022-03-04. Analysis of an alternative Navier-Stokes system: Weak entropy solutions and a convergent numerical scheme. https://arxiv.org/abs/2203.02159

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