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Article Dans Une Revue Differential and integral equations Année : 2010

Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces

Résumé

This work is devoted to proving the global existence of weak solution for a general isothermal model of capillary fluids derived in his modern form by C. Rohde in [21], which can be used as a phase transition model. First, inspired by the result by P.-L. Lions in [19] on the Navier-Stokes compressible system we show the global stability of weak solutions for our system with isentropic pressure and next with general pressure. Finally, we consider perturbations of a stable equilibrium.
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Dates et versions

hal-00776872 , version 1 (16-01-2013)

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  • HAL Id : hal-00776872 , version 1

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Boris Haspot. Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces. Differential and integral equations, 2010, 23 (9-10), pp.899-934. ⟨hal-00776872⟩
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