Global existence for a simplified model of nuclear fluid in one dimension. (English) Zbl 0974.76013

Ducomet, B.

J. Math. Fluid Mech. 2, No. 1, 1-15 (2000).

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

Keywords:

neutron star; fission; asymptotic long-time behaviour; nonlinear parabolic-hyperbolic systems; a priori estimates; regularized one-dimensional hydrodynamical model; nuclear slab; van der Waals type pressure law; global existence