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

  • Feireisl E
  • Novotný A
  • Petzeltová H
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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 γ > 3/2.

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Feireisl, E., Novotný, A., & Petzeltová, H. (2001). On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations. Journal of Mathematical Fluid Mechanics, 3(4), 358–392. https://doi.org/10.1007/pl00000976

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