×

Solutions faibles globales des équations de Navier-Stokes pour un fluide compressible. (Global weak solutions for compressible Navier- Stokes equations). (French) Zbl 0597.76067

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.

MSC:

76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35Q30 Navier-Stokes equations
PDF BibTeX XML Cite