Nonlinear Differential Equations and Applications NoDEA

, Volume 6, Issue 1, pp 35–54

2-D Euler equation perturbed by noise

  • Hakima Bessaih
  • Franco Flandoli

DOI: 10.1007/s000300050063

Cite this article as:
Bessaih, H. & Flandoli, F. NoDEA, Nonlinear differ. equ. appl. (1999) 6: 35. doi:10.1007/s000300050063

Abstract.

A 2-dimensional Euler equations subject to a stochastic perturbation (a noise) is investigated. An existence and uniqueness result is proved with some assumptions of spatial regularity on the noise.

Copyright information

© Birkhäuser Verlag, Basel, 1999

Authors and Affiliations

  • Hakima Bessaih
    • 1
  • Franco Flandoli
    • 2
  1. 1.Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, Italy, e-mail: bessaih@cibs.sns.itIT
  2. 2.Dipartimento di Matematica Applicata, Via Buonanno 25B, I-56126 Pisa, Italy, e-mail: flandoli@dma.unipi.itIT