printable pdf
比利时vs摩洛哥足彩 ,
university of california san diego

****************************

math 248 seminar in real analysis

prof. jacob bedrossian

ucla

chaos and turbulence in stochastic fluid mechanics: what is it and how could we study it?

abstract:

in this survey-style talk i discuss the (old) idea of studying turbulence in stochastically-forced fluid equations. i will discuss definitions of chaos, anomalous dissipation, and various other predictions by physicists that can be phrased as mathematically precise conjectures in this context. then, i will discuss some recent work by my collaborators and i on various aspects, namely (1) a straightforward characterization of anomalous dissipation that implies the classical kolmogorov 4/5 law for 3d nse (joint with michele coti zelati, sam punshon-smith, and franziska weber); (2) the study of "lagrangian chaos" and exponential mixing of scalars and how it leads to a proof of anomalous dissipation and of the power spectrum predicted by batchelor in 1959 for the simpler problem of batchelor-regime passive scalar turbulence (joint with alex blumenthal and sam punshon-smith); (3) the more recent proof of "eulerian chaos" for galerkin truncations of the navier-stokes equations (joint with alex blumenthal and sam punshon-smith).

host: prof. andrej zlatos

june 6, 2023

11:00 am

apm 7321

****************************