WELL-POSEDNESS OF REYNOLDS AVERAGED EQUATIONS FOR COMPRESSIBLE FLUIDS WITH A VANISHING PRESSURE - Archive ouverte HAL
Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2023

WELL-POSEDNESS OF REYNOLDS AVERAGED EQUATIONS FOR COMPRESSIBLE FLUIDS WITH A VANISHING PRESSURE

Résumé

We show that the Reynolds averaged equations for compressible fluids (neglecting third order correlations) are well-posed in H s when the pressure vanishes in dimensions d = 2 and 3. In order to do this, we show that the system is Friedrichs-symmetrizable. This model belongs to the class of non-conservative hyperbolic systems. Hence the usual symmetrisation method for conservation laws can not be used here.
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Dates et versions

hal-04109590 , version 1 (30-05-2023)
hal-04109590 , version 2 (07-08-2024)

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Emile Deleage. WELL-POSEDNESS OF REYNOLDS AVERAGED EQUATIONS FOR COMPRESSIBLE FLUIDS WITH A VANISHING PRESSURE. Mathematical Methods in the Applied Sciences, 2023, 47 (2), pp.817-824. ⟨10.1002/mma.9685⟩. ⟨hal-04109590v2⟩
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