MATHEMATICA BOHEMICA, Vol. 127, No. 2, pp. 203-209 (2002)

Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid

Eduard Feireisl

Eduard Feireisl, Mathematical Institute AV CR, Zitna 25, 115 67 Praha 1, Czech Republic, e-mail: feireisl@math.cas.cz

Abstract: 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.

Keywords: compressible Navier-Stokes equations, global existence, weak solutions

Classification (MSC2000): 35Q30, 35A05

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