Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces
Haspot, Boris (2010), Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces, Differential and Integral Equations, 23, 9-10, p. 899-934
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00776872
Journal nameDifferential and Integral Equations
Khayyam Publishing Company
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Abstract (EN)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 , which can be used as a phase transition model. First, inspired by the result by P.-L. Lions in  on the Navier- Stokes compressible system we show the global stability of weak solutions for our system with is entropic pressure and next with general pressure. Finally, we consider perturbations of a stable equilibrium.
Subjects / KeywordsNavier–Stokes system; capillary fluids
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