Vanishing Artificial Pressure Limit

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Mathematics of Open Fluid Systems

Part of the book series: Nečas Center Series ((NECES))

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Abstract

The ultimate step of the global existence proof consists in performing the limit δ → 0 in the following system of integral identities.

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References

  1. E. Feireisl, Y. Lu, J. Málek, On PDE analysis of flows of quasi-incompressible fluids. ZAMM Z. Angew. Math. Mech. 96(4), 491–508 (2016)

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  2. E. Feireisl, A. Novotný, Singular Limits in Thermodynamics of Viscous Fluids, 2nd edn. Advances in Mathematical Fluid Mechanics (Birkhäuser/Springer, Cham, 2017)

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Feireisl, E., Novotný, A. (2022). Vanishing Artificial Pressure Limit. In: Mathematics of Open Fluid Systems. Nečas Center Series. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-94793-4_8

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