JournalsrmiVol. 31, No. 1pp. 267–290

On the existence of almost-periodic solutions for the 2D dissipative Euler equations

  • Luigi C. Berselli

    Università di Pisa, Italy
  • Luca Bisconti

    Universita degli Studi di Firenze, Italy
On the existence of almost-periodic solutions for the 2D dissipative Euler equations cover
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Abstract

In this paper we study the two-dimensional dissipative Euler equations in a smooth and bounded domain. In the presence of a sufficiently large dissipative term (or equivalently a sufficiently small external force) precise uniform estimates on the modulus of continuity of the vorticity are proved. These allow us to show existence of Stepanov almost-periodic solutions.

Cite this article

Luigi C. Berselli, Luca Bisconti, On the existence of almost-periodic solutions for the 2D dissipative Euler equations. Rev. Mat. Iberoam. 31 (2015), no. 1, pp. 267–290

DOI 10.4171/RMI/833