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