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Global existence for a simplified model of nuclear fluid in one dimension. (English) Zbl 0974.76013
Summary: We consider a regularized one-dimensional hydrodynamical model of nuclear slab, with a van der Waals type pressure law, for which we identify asymptotically stable stationary states, and, for small data, prove global existence. We also describe the asymptotic behaviour of the system for large time, provided that the initial density is restricted to a pure phase region.

MSC:
76A99 Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena
81V35 Nuclear physics
35Q35 PDEs in connection with fluid mechanics
82D15 Statistical mechanics of liquids
35Q80 Applications of PDE in areas other than physics (MSC2000)
85A30 Hydrodynamic and hydromagnetic problems in astronomy and astrophysics
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