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Article Dans Une Revue Journal of Elliptic and Parabolic Equations Année : 2021

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

Anne-Laure Dalibard
Charlotte Perrin

Résumé

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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Dates et versions

hal-03213754 , version 1 (30-04-2021)

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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, 7 (2), pp.491-507. ⟨10.1007/s41808-021-00131-y⟩. ⟨hal-03213754⟩
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