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AIMS Mathematics

2019, Volume 4, Issue 1: 1-11. doi: 10.3934/Math.2019.1.1
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A note on the Euler–Voigt system in a 3D bounded domain: Propagation of singularities and absence of the boundary layer

  • 1.
    Dipartimento di Matematica, Università di Pisa, Pisa, I56127, Italy
  • 2.
    Sezione Matematica (DICATAM), Università degli Studi di Brescia, Brescia, I25133, Italy, Davide Catania
  • Received: 24 September 2018 Accepted: 09 December 2018 Published: 18 December 2018

  • MSC : 35Q35(76F02, 76B99, 76D05)

  • We consider the Euler–Voigt equations in a smooth bounded domain as an approximation for the 3D Euler equations. We show that the solutions of the Voigt equations are global, do not smooth out the data, and converge to the solutions of the Euler equations. For these reasons they represent a good model, also for computations of turbulent flows.

    Citation: Luigi C. Berselli, Davide Catania. A note on the Euler–Voigt system in a 3D bounded domain: Propagation of singularities and absence of the boundary layer[J]. AIMS Mathematics, 2019, 4(1): 1-11. doi: 10.3934/Math.2019.1.1

    Related Papers:

  • We consider the Euler–Voigt equations in a smooth bounded domain as an approximation for the 3D Euler equations. We show that the solutions of the Voigt equations are global, do not smooth out the data, and converge to the solutions of the Euler equations. For these reasons they represent a good model, also for computations of turbulent flows.


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