Stochastic stability of invariant measures: The 2D Euler equation

F. Cipriano, H. Ouerdiane, R. Vilela Mendes

Research output: Contribution to journalArticlepeer-review


In finite-dimensional dissipative dynamical systems, stochastic stability provides the selection of the physically relevant measures. That this might also apply to systems defined by partial differential equations, both dissipative and conservative, is the inspiration for this work. As an example, the 2D Euler equation is studied. Among other results this study suggests that the coherent structures observed in 2D hydrodynamics are associated with configurations that maximize stochastically stable measures uniquely determined by the boundary conditions in dynamical space.

Original languageEnglish
Article number1950185
JournalInternational Journal of Modern Physics B
Issue number17
Publication statusPublished - 10 Jul 2019


  • Euler equation
  • Invariant measures
  • Stochastic stability


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