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Partially congested propagation fronts in one-dimensional Navier-Stokes equations

Abstract : These notes are dedicated to the analysis of the one-dimensional free-congested Navier-Stokes equations. After a brief synthesis of the results obtained in [4] related to the existence and the asymptotic stability of partially congested profiles associated to the soft congestion Navier-Stokes system, we present a first local well-posedness result for the one-dimensional free-congested Navier-Stokes equations.
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https://hal.archives-ouvertes.fr/hal-03213754
Contributor : Charlotte Perrin Connect in order to contact the contributor
Submitted on : Friday, April 30, 2021 - 3:43:53 PM
Last modification on : Friday, December 3, 2021 - 11:43:41 AM
Long-term archiving on: : Saturday, July 31, 2021 - 7:15:22 PM

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  • HAL Id : hal-03213754, version 1

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Anne-Laure Dalibard, Charlotte Perrin. Partially congested propagation fronts in one-dimensional Navier-Stokes equations. Journal of Elliptic and Parabolic Equations, 2021. ⟨hal-03213754⟩

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