Serre, Denis Solutions faibles globales des équations de Navier-Stokes pour un fluide compressible. (Global weak solutions for compressible Navier- Stokes equations). (French) Zbl 0597.76067 C. R. Acad. Sci., Paris, Sér. I 303, 639-642 (1986). Summary: One proves the global existence for the one-dimensional Navier-Stokes equations. The fluid is compressible and either isentropic or isothermal. The initial density is of class \(BV_{loc}\) or \(H^ s_{loc}\), \(0<s<1\). The total mass of the fluid is finite, but it lies on the whole real line. Cited in 54 Documents MSC: 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics 35Q30 Navier-Stokes equations Keywords:global weak solutions; isentropic gas; isothermal gas; global existence; one-dimensional Navier-Stokes equations; initial density PDFBibTeX XMLCite \textit{D. Serre}, C. R. Acad. Sci., Paris, Sér. I 303, 639--642 (1986; Zbl 0597.76067)