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Article Dans Une Revue Journal of Mathematical Fluid Mechanics Année : 2011

Existence of weak solution for compressible fluid models of Korteweg type

Résumé

This work is devoted to proving existence of global weak solutions for a general isothermal model of capillary fluids derived by J.- E Dunn and J. Serrin (1985) [6], which can be used as a phase transition model. We improve the results of [5] by showing the existence of global weak solution in dimension two for initial data in the energy space, close to a stable equilibrium and with specific choices on the capillary coefficients. In particular we are interested in capillary coefficients approximating a constant capillarity coefficient $\kappa$. To finish we show the existence of global weak solution in dimension one for a specific type of capillary coefficients with large initial data in the energy space.
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Dates et versions

hal-00776879 , version 1 (16-01-2013)

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  • HAL Id : hal-00776879 , version 1

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Boris Haspot. Existence of weak solution for compressible fluid models of Korteweg type. Journal of Mathematical Fluid Mechanics, 2011, 13 (Issue 2), pp.223-249. ⟨hal-00776879⟩
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