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An overview on congestion phenomena in fluid equations

Abstract : We review some recent analysis results and open perspectives around congestion phenomena in fluid equations. The PDE systems under study are based on Navier-Stokes equations in which congestion is encoded in a maximal density constraint. The paper is organized around three main topics: multi-scale issues, regularity issues and finally non-locality issues.
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https://hal.archives-ouvertes.fr/hal-01994880
Contributor : Charlotte Perrin <>
Submitted on : Friday, January 25, 2019 - 5:27:52 PM
Last modification on : Thursday, January 23, 2020 - 6:22:13 PM
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  • HAL Id : hal-01994880, version 1

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Charlotte Perrin. An overview on congestion phenomena in fluid equations. Journées Équations aux Dérivées Partielles, 2018, Tome (2018). ⟨hal-01994880⟩

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