{
  "annotation_id": "60b84c2e-e2b8-4483-848d-b16520568ac4",
  "date_created": "2026-03-02T18:01:10.527000Z",
  "date_modified": "2026-03-02T18:01:10.527000Z",
  "file_hash": "ae8336706347510567ebb0ff42601a1322ed45af30d4be71ccaea4ffe9629c53",
  "private": false,
  "record": {
    "abstract": "We construct doubly periodic Stokes flows in two dimensions using elliptic\nfunctions. This method has advantages when the doubly periodic lattice of\nobstacles has less than maximal symmetry. We find the mean flow through an\narbitrary lattice in response to a pressure gradient in an arbitrary direction,\nand show in a typical example that the shorter of the two period lattice\nvectors is an \"easy direction\" for the flow, an eigenvector of the conductance\ntensor corresponding to maximal conductance.",
    "arxiv_id": "physics/0608287",
    "authors": [
      "Mark A. Peterson",
      "Danti Chen",
      "Mengqi Ding"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "title": "Elliptic function representation of doubly periodic two-dimensional   Stokes flows",
    "url": "https://arxiv.org/abs/physics/0608287"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d07169b-a20e-4320-bab0-fcc17034c3b6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}