, Volume 3, Issue 4, pp 358-392

On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations

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Abstract.

We prove the existence of globally defined weak solutions to the Navier—Stokes equations of compressible isentropic flows in three space dimensions on condition that the adiabatic constant satisfies \( \gamma > 3/2 \) .

Accepted: January 9, 2001