# Simplified models of quantum fluids in nuclear physics

Mathematica Bohemica (2001)

- Volume: 126, Issue: 2, page 323-336
- ISSN: 0862-7959

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topDucomet, Bernard. "Simplified models of quantum fluids in nuclear physics." Mathematica Bohemica 126.2 (2001): 323-336. <http://eudml.org/doc/248843>.

@article{Ducomet2001,

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.},

author = {Ducomet, Bernard},

journal = {Mathematica Bohemica},

keywords = {compressible-Navier-Stokes-Schrödinger; time-dependent-Hartree-Fock approximation; local existence; global existence},

language = {eng},

number = {2},

pages = {323-336},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Simplified models of quantum fluids in nuclear physics},

url = {http://eudml.org/doc/248843},

volume = {126},

year = {2001},

}

TY - JOUR

AU - Ducomet, Bernard

TI - Simplified models of quantum fluids in nuclear physics

JO - Mathematica Bohemica

PY - 2001

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 126

IS - 2

SP - 323

EP - 336

AB - 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.

LA - eng

KW - compressible-Navier-Stokes-Schrödinger; time-dependent-Hartree-Fock approximation; local existence; global existence

UR - http://eudml.org/doc/248843

ER -

## References

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