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Local-in-time existence of strong solutions to an averaged thick sprays model

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Abstract

We propose a new system for the modelling of thick sprays. We prove that this system verifies conservation properties together with a maximum principle regarding the volume fraction of the gas. Our main result is that the barotropic version of this system is locally in time well-posed in H$^s$.
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Dates and versions

hal-03881187 , version 1 (01-12-2022)
hal-03881187 , version 2 (14-12-2022)

Identifiers

  • HAL Id : hal-03881187 , version 1

Cite

Victor Fournet, Bruno Després, Christophe Buet. Local-in-time existence of strong solutions to an averaged thick sprays model. 2022. ⟨hal-03881187v1⟩
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