Pith Number

pith:QQR5GZWK

pith:2026:QQR5GZWKAEKLVBTO5GGJNFU4CJ

not attested not anchored not stored refs resolved

Solutocapillary instability in slipping falling films

Asim Mukhopadhyay, Bastien Di Pierro, Sanghasri Mukhopadhyay, S\'everine Millet

Wall slip reduces Marangoni back-stress and stabilizes surfactant-laden falling films into single broad crests or flat sheets.

arxiv:2605.17519 v1 · 2026-05-17 · physics.flu-dyn · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQR5GZWKAEKLVBTO5GGJNFU4CJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

Wall slip emerges as a key control parameter, reducing viscous resistance and mitigating Marangoni back-stress. The slip parameter β is a useful control knob for surfactant-laden films that prevents fragile multi-hump bound states and promotes single broad crests or almost flat sheets.

C2weakest assumption

The long-wave approximation together with the chosen conservative bulk-surface mass balance and Navier slip condition remain quantitatively accurate across the full range of equilibrium surfactant coverages, Marangoni strengths, and adsorption kinetics examined in the nonlinear simulations.

C3one line summary

Wall slip in surfactant-laden falling films produces non-monotonic critical Reynolds numbers with equilibrium coverage, drives a single-to-double-hump transition in solitary waves, and resolves spurious interfacial mass growth via a revised conservative surface balance.

References

22 extracted · 22 resolved · 1 Pith anchors

[1] Solutocapillary instability in slipping falling films 2026 · arXiv:2605.17519

[2] ∂Γ ∂t + 1p 1 +ε 2h2x ∂(Γus) ∂x # = ε2 P es p 1 +ε 2h2x ∂ ∂x

[3] 2 This eigen value corresponds to the hydrodynamic Kapitza modeα (1); for more information, see Appendix B

[4] For, ˆV= 2 ˆUN = (gsinθ ˆh2 N /ν)(1 + 2β) as twice the dimensional Nusselt free surface velocity and redefine the Reynolds number asRe= ˆUNˆhN /ν, thenRe/F r 2 = 2/(1 + 2β)[52]

[5] For detailed information, see Mukhopadhyay & Mukhopadhyay [36] 2000

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Solutocapillary instability in slipping falling films

Receipt and verification

First computed	2026-05-20T00:04:43.457205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8423d366ca0114ba866ee98c96969c126f9ff43916eb813fd64f8a5c53e1b254

Aliases

arxiv: 2605.17519 · arxiv_version: 2605.17519v1 · doi: 10.48550/arxiv.2605.17519 · pith_short_12: QQR5GZWKAEKL · pith_short_16: QQR5GZWKAEKLVBTO · pith_short_8: QQR5GZWK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QQR5GZWKAEKLVBTO5GGJNFU4CJ \
  | 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: 8423d366ca0114ba866ee98c96969c126f9ff43916eb813fd64f8a5c53e1b254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "413bcf0d0bd9d9be069ba71ecc2e11c8c9c2e9dbce1d0cfc90a9a81283ae9a19",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-17T16:03:36Z",
    "title_canon_sha256": "26f74b6aee265081f538580cddf42b09acc3bf1da944fb6567495f11a1fe8b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17519",
    "kind": "arxiv",
    "version": 1
  }
}