Pith Number

pith:X6RBO4ZT

pith:2026:X6RBO4ZTCK3J5YC6J2DCBIIDGJ

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A Two-Phase Free Boundary Problem for Axisymmetric Subsonic Euler Flows with Contact Discontinuities

Hyangdong Park

Axisymmetric subsonic Euler flows with vorticity in infinite cylinders admit contact discontinuities.

arxiv:2605.03714 v2 · 2026-05-05 · math.AP

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\pithnumber{X6RBO4ZTCK3J5YC6J2DCBIIDGJ}

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4 Citations open

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Claims

C1strongest claim

We prove the existence of contact discontinuities for axisymmetric subsonic Euler flows with non-zero vorticity and non-zero angular momentum density in three-dimensional infinitely long cylinders.

C2weakest assumption

The cut-off domain problem can be solved via Helmholtz decomposition and iteration, and the limit as the domain becomes infinite preserves the contact discontinuity without introducing new singularities or violating subsonicity.

C3one line summary

Existence of contact discontinuities is proven for axisymmetric subsonic Euler flows with vorticity and angular momentum in 3D infinite cylinders via free boundary methods.

Receipt and verification

First computed	2026-06-05T01:15:25.103104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa217733312b69ee05e4e8620a103327ba49df7e728bc1d1217a908ad3bde3b

Aliases

arxiv: 2605.03714 · arxiv_version: 2605.03714v2 · doi: 10.48550/arxiv.2605.03714 · pith_short_12: X6RBO4ZTCK3J · pith_short_16: X6RBO4ZTCK3J5YC6 · pith_short_8: X6RBO4ZT

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X6RBO4ZTCK3J5YC6J2DCBIIDGJ \
  | 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: bfa217733312b69ee05e4e8620a103327ba49df7e728bc1d1217a908ad3bde3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e22ff0625c7ae2b50ed46a2c29a40d2bd6f24d9c154e19d620c4207ab44fa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-05T13:04:12Z",
    "title_canon_sha256": "a162478f613bd65992be8a927a033c476fc0b1f630ddab71e686a76d0ccdd535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.03714",
    "kind": "arxiv",
    "version": 2
  }
}