The full text of this article is unavailable through your IP address: 52.15.71.146
Contents Online
Dynamics of Partial Differential Equations
Volume 18 (2021)
Number 4
Observable measures in partial differential equations
Pages: 279 – 292
DOI: https://dx.doi.org/10.4310/DPDE.2021.v18.n4.a2
Authors
Abstract
We prove that a broad class of PDE’s including the reaction-diffusion and 2D Navier–Stokes equations have observable measures. Moreover, these measures form the minimal weak* compact subset of Borel probability measures whose basins of attraction has total Gaussian measure. To prove these results we extend the theory of observable measures [8] from continuous maps on compact manifolds to dissipative semiflows on Polish spaces.
Keywords
SRB measure, observable measure, reaction-diffusion, Navier–Stokes, dissipative semiflow
2010 Mathematics Subject Classification
Primary 37L30. Secondary 37L40.
A la memoria del Japones, Pepe y Saponga (a gente se ve...)
Received 17 February 2020
Published 2 December 2021