Simplified models of quantum fluids in nuclear physics

Bernard Ducomet

Mathematica Bohemica (2001)

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

Abstract

top
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.

How to cite

top

Ducomet, 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; 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; time-dependent-Hartree-Fock approximation; local existence; global existence
UR - http://eudml.org/doc/248843
ER -

References

top
  1. 10.1103/PhysRevC.13.1226, Phys. Rev. C 13 (1976), 1226–1258. (1976) DOI10.1103/PhysRevC.13.1226
  2. 10.1016/0375-9474(84)90012-5, Nucl. Phys. A424 (1984), 605–626. (1984) DOI10.1016/0375-9474(84)90012-5
  3. 10.1103/PhysRevC.21.1568, Phys. Rev. C 21 (1980), 1568–1593. (1980) DOI10.1103/PhysRevC.21.1568
  4. 10.1007/s000210050017, J. Math. Fluid Mech. 2 (2000), 1–15. (2000) Zbl0974.76013MR1755864DOI10.1007/s000210050017
  5. On simplified models of nuclear fluids. In preparation, . 
  6. Quantum Theory of Many-Particle Systems, McGraw-Hill, 1971. (1971) 
  7. 10.1080/00036818708839699, Appl. Anal. 26 (1987), 33–43. (1987) MR0916897DOI10.1080/00036818708839699
  8. The Nuclear Many-Body Problem, Springer Verlag, 1980. (1980) MR0611683
  9. La matière nucléaire, Hermann, 1998. (1998) 
  10. On the existence and properties of the rotationally symmetric equilibrium states of compressible barotropic self-gravitating fluids, Indiana Math. Journal 46 (1997), 1181–1220. (1997) MR1631576
  11. Local existence of solutions of free boundary problem for the equations of compressible barotropic viscous self-gravitating fluids, Preprint (1998). (1998) MR1683284
  12. On stability of certain equilibrium solution for compressible barotropic viscous self-gravitating fluid motions bounded by a free surface, Preprint (1998). (1998) 
  13. Dynamics of nuclear fluids. I. Foundations, Nucl. Phys. A253 (1975), 469–489. (1975) 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.