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Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid. (English) Zbl 1009.35061

Summary: This is a survey of some recent results on the existence of globally defined weak solutions to the Navier-Stokes equations of a viscous compressible fluid with a general barotropic pressure-density relation.

MSC:

35Q30 Navier-Stokes equations
35D05 Existence of generalized solutions of PDE (MSC2000)
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics