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EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR COMPRESSIBLE FLUID MODELS WITH A CAPILLARY TENSOR FOR DISCONTINUOUS INTERFACES

Abstract : This work is devoted to proving the global existence of weak solutions 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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https://hal-upec-upem.archives-ouvertes.fr/hal-00693015
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Submitted on : Tuesday, May 1, 2012 - 7:29:33 PM
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  • HAL Id : hal-00693015, version 1

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Boris Haspot. EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR COMPRESSIBLE FLUID MODELS WITH A CAPILLARY TENSOR FOR DISCONTINUOUS INTERFACES. Differential and integral equations, Khayyam Publishing, 2010, 23 (9-10), pp.899--934. ⟨hal-00693015⟩

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