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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 \( \gamma > 3/2 \).

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Authors and Affiliations

  1. Institute of Mathematics AV ČR, Žitná 25, CZ—115 67 Praha 1, Czech Republic, , , , , , CZ

    E. Feireisl & H. Petzeltová

  2. Université de Toulon et du Var, BP 132, F—839 57 La Garde, France, , , , , , FR

    A. Novotný

Authors
  1. E. Feireisl
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  2. A. Novotný
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  3. H. Petzeltová
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Accepted: January 9, 2001

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Feireisl, E., Novotný, A. & Petzeltová, H. On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations. J. math. fluid mech. 3, 358–392 (2001). https://doi.org/10.1007/PL00000976

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  • DOI: https://doi.org/10.1007/PL00000976

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