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arXiv · 0803.1925

Weak solution for compressible fluid models of Korteweg type

Boris Haspot
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Abstract

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) \cite{3DS}, which can be used as a phase transition model. We distinguish two cases when the dimension N=2 and N=1, in the first case we need that $\frac{1}ρ\in L^{\infty}$, when N=1 we get a weak solution in finite time in the energy space.

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Boris Haspot. 2008-03-13. Weak solution for compressible fluid models of Korteweg type. https://arxiv.org/abs/0803.1925

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