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Sur l’équation monodimensionnelle d’un fluide visqueux, compressible et conducteur de chaleur. (On the 1-d motion of a viscous, compressible, heat-conducting fluid). (French) Zbl 0611.35070

The global existence of a weak solution to the full Navier-Stokes system is proved. The fluid is assumed to be compressible and heat-conducting. It lies on the whole real line. The initial density and specific volume are chosen in the BV class.

MSC:

35Q30 Navier-Stokes equations
35D05 Existence of generalized solutions of PDE (MSC2000)
76D05 Navier-Stokes equations for incompressible viscous fluids
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