Geodesic
Global existence for a nuclear fluid in one dimension: the $T>0$ case
Applications of Mathematics, Tome 47 (2002) no. 1, pp. 45-75.

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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 $P0$.
DOI : 10.1023/A:1021754900964
Classification : 74D10, 76D05, 76N15
Keywords: Navier-Stokes equations; compressible fluid 
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Ducomet, B. Global existence for a nuclear fluid in one dimension: the $T>0$ case. Applications of Mathematics, Tome 47 (2002) no. 1, pp. 45-75. doi : 10.1023/A:1021754900964. http://geodesic.mathdoc.fr/articles/10.1023/A:1021754900964/

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