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

• Luigi C. Berselli ^[1] ; Luca Bisconti ^[2]
  1. [1] University of Pisa

     University of Pisa

     Pisa, Italia

     
  2. [2] University of Florence

     University of Florence

     Firenze, Italia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 31, Nº 1, 2015, págs. 267-290
• Idioma: inglés
• DOI: 10.4171/rmi/833
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.