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MATHEMATICA BOHEMICA, Vol. 126, No. 2, pp. 323-336 (2001)
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# Simplified models of quantum fluids

in nuclear physics

## B. Ducomet

* B. Ducomet*, CEA-Département de Physique Théorique et Appliquée, BP 12, 91680 Bruyeres-le-Chatel, France, e-mail: ` ducomet@bruyeres.cea fr`

**Abstract:**
We revisit a hydrodynamical model, derived by Wong from Time-Dependent-Hartree-Fock approximation, to obtain a simplified version of nuclear matter. We obtain well-posed problems of Navier-Stokes-Poisson-Yukawa type, with some unusual features due to quantum aspects, for which one can prove local existence. In the case of a one-dimensional nuclear slab, we can prove a result of global existence, by using a formal analogy with some model of nonlinear "viscoelastic" rods.

**Keywords:** compressible-Navier-Stokes-Schrödinger

**Classification (MSC2000):** 74D10, 76D05, 76N15

**Full text of the article:**

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