Weak solution for compressible fluid models of Korteweg type
نویسنده
چکیده
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) [5], 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 1 ρ ∈ L∞, when N = 1 we get a weak solution in finite time in the energy space.
منابع مشابه
Existence of weak solution for compressible fluid models of Korteweg type
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 choi...
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تاریخ انتشار 2008