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Pré-Publication, Document De Travail Année : 2020

Existence and uniqueness of solution to the two-phase Stefan problem with convection

Résumé

The well posedness of the two-phase Stefan problem with convection is established in L 1. First we consider the case with a singular enthalpy and we fix the convection velocity. In the second part of the paper we study the case of a smoothed enthalpy, but the convection velocity is the solution to a Navier-Stokes equation. In the last section we give some numerical illustrations of a physical case simulated using the models studied in the paper.
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Dates et versions

hal-02615472 , version 1 (22-05-2020)

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Viorel Barbu, Ioana Ciotir, Ionut Danaila. Existence and uniqueness of solution to the two-phase Stefan problem with convection. 2020. ⟨hal-02615472⟩
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