The Batchelor spectrum of passive scalar turbulence in stochastic fluid mechanics at fixed Reynolds number
In 1959, Batchelor predicted that the stationary statistics of passive scalars advected in fluids
with small diffusivity $\kappa $ should display a $| k|^{-1} $ power spectrum along an inertial …
with small diffusivity $\kappa $ should display a $| k|^{-1} $ power spectrum along an inertial …
Characterization of SRB measures for random dynamical systems in a Banach space
C Luo, Y Zhao - Journal of Differential Equations, 2024 - Elsevier
This paper considers C 2 random dynamical systems in a Banach space, and proves that
under some mild conditions, SRB measures are characterized by invariant measures …
under some mild conditions, SRB measures are characterized by invariant measures …
Dynamical systems evolving
LS Young - Proceedings of the International Congress of …, 2018 - World Scientific
This is an expanded version of a presentation given at ICM2018. It discusses a number of
results taken from a cross-section of the author's work in Dynamical Systems. The topics …
results taken from a cross-section of the author's work in Dynamical Systems. The topics …
Existence and regularity of invariant graphs for cocycles in bundles: partial hyperbolicity case
D Chen - arxiv preprint arxiv:1903.07483, 2019 - arxiv.org
We study the existence and regularity of invariant graphs for bundle maps (or bundle
correspondences with generating bundle maps motivated by ill-posed differential equations) …
correspondences with generating bundle maps motivated by ill-posed differential equations) …