# Global existence for a nuclear fluid in one dimension: the $T>0$ case

Applications of Mathematics (2002)

- Volume: 47, Issue: 1, page 45-75
- ISSN: 0862-7940

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topDucomet, Bernard. "Global existence for a nuclear fluid in one dimension: the $T>0$ case." Applications of Mathematics 47.1 (2002): 45-75. <http://eudml.org/doc/33102>.

@article{Ducomet2002,

abstract = {We consider a simplified one-dimensional thermal model of nuclear matter, described by a system of Navier-Stokes-Poisson type, with a non monotone equation of state due to an effective nuclear interaction. We prove the existence of globally defined (large) solutions of the corresponding free boundary problem, with an exterior pressure $P$ which is not required to be positive, provided sufficient thermal dissipation is present. We give also a partial description of the asymptotic behaviour of the system, in the two cases $P>0$ and $P<0$.},

author = {Ducomet, Bernard},

journal = {Applications of Mathematics},

keywords = {Navier-Stokes equations; compressible fluid; Navier-Stokes equations; compressible fluid},

language = {eng},

number = {1},

pages = {45-75},

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

title = {Global existence for a nuclear fluid in one dimension: the $T>0$ case},

url = {http://eudml.org/doc/33102},

volume = {47},

year = {2002},

}

TY - JOUR

AU - Ducomet, Bernard

TI - Global existence for a nuclear fluid in one dimension: the $T>0$ case

JO - Applications of Mathematics

PY - 2002

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

VL - 47

IS - 1

SP - 45

EP - 75

AB - We consider a simplified one-dimensional thermal model of nuclear matter, described by a system of Navier-Stokes-Poisson type, with a non monotone equation of state due to an effective nuclear interaction. We prove the existence of globally defined (large) solutions of the corresponding free boundary problem, with an exterior pressure $P$ which is not required to be positive, provided sufficient thermal dissipation is present. We give also a partial description of the asymptotic behaviour of the system, in the two cases $P>0$ and $P<0$.

LA - eng

KW - Navier-Stokes equations; compressible fluid; Navier-Stokes equations; compressible fluid

UR - http://eudml.org/doc/33102

ER -

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