Pith Number

pith:HU7PJ6LF

pith:2026:HU7PJ6LF4RQOCPYDNFV2H5CWYE

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Waves dictate the yo-yoing decay of a viscoelastic mixing layer

Giulio Foggi Rota, Jason Tang, Marco Edoardo Rosti, Piyush Garg

Waves develop in decaying viscoelastic mixing layers and drive oscillatory yo-yoing of the mean flow.

arxiv:2604.22150 v2 · 2026-04-24 · physics.flu-dyn

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\pithnumber{HU7PJ6LF4RQOCPYDNFV2H5CWYE}

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4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Waves develop in a time-decaying mixing layer of viscoelastic fluid, leading the mean-flow to yo-yo; the yo-yoing is driven by the elastic polymers injecting energy into the fluid and, in turn, being rotated by the large-scale mean shear, with analytical wave solutions with non-linear dispersion predicting the period of the yo-yoing and the parameter range where it occurs.

C2weakest assumption

The assumption that the chosen viscoelastic constitutive model (implied by elastic polymers and energy budget) and the direct numerical simulations accurately capture the polymer dynamics without numerical artifacts or model-specific artifacts driving the observed waves and yo-yoing.

C3one line summary

Waves in viscoelastic mixing layers drive yo-yoing mean-flow decay through elastic energy injection and shear-induced polymer rotation, with analytical wave solutions predicting the oscillation period and occurrence range.

Receipt and verification

First computed	2026-06-24T01:14:27.969129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d3ef4f965e460e13f03696ba3f456c10aced8b0667ee7aa9c361e2313bbea80

Aliases

arxiv: 2604.22150 · arxiv_version: 2604.22150v2 · doi: 10.48550/arxiv.2604.22150 · pith_short_12: HU7PJ6LF4RQO · pith_short_16: HU7PJ6LF4RQOCPYD · pith_short_8: HU7PJ6LF

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HU7PJ6LF4RQOCPYDNFV2H5CWYE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3d3ef4f965e460e13f03696ba3f456c10aced8b0667ee7aa9c361e2313bbea80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51bc7d6db6735e3112ee381d0e7332438bcb72e24f14a0db06b2600685761a5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-04-24T01:41:52Z",
    "title_canon_sha256": "d35c9a02c5c59d0505e073707f4d86c8d0fece894a277cbac4b3634261595a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.22150",
    "kind": "arxiv",
    "version": 2
  }
}