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PreprintCC0arXiv

Richardson dispersion and anomalous dissipation for the random velocity model with controlled sweeping

Abstract

The present paper establishes the Richardson dispersion law, predicting the particle separation with time according to E Rt2 ∼ t3, as well as anomalous dissipation for the associated tracer, for a random Hölder continuous velocity vectorfield with controlled sweeping.

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BibTeX
@misc{fefferman2026richardson,
  title = {{Richardson dispersion and anomalous dissipation for the random velocity model with controlled sweeping}},
  author = {Charles Fefferman and Svitlana Mayboroda},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07694},
  eprint = {2611.07694},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07694},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Richardson dispersion and anomalous dissipation for the random velocity model with controlled sweeping
AU  - Charles Fefferman
AU  - Svitlana Mayboroda
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07694
UR  - https://arxiv.org/abs/2611.07694
AB  - The present paper establishes the Richardson dispersion law, predicting the particle separation with time according to E R_t^2 ∼ t^3, as well as anomalous dissipation for the associated tracer, for a random Hölder continuous velocity vectorfield with controlled sweeping.
ER  -