{
  "annotation_id": "c62edc2b-6ab5-40d3-ab70-b1171b9bc686",
  "date_created": "2026-02-17T05:53:04.724000Z",
  "date_modified": "2026-02-17T05:53:04.724000Z",
  "file_hash": "4e3fc64ea7481886d91661a5835ad709fcc6439d4975488ae8c18a5f8d48b70f",
  "private": false,
  "record": {
    "abstract": "We prove strong well-posedness results for the stochastic 2D Euler equations in vorticity form and generalized SQG equations, with $L^p$ initial data and driven by a spatially rough, incompressible transport noise of Kraichnan type. Previous works addressed this problem with noise of spatial regularity $\\alpha\\in (0,1/2)$, in a setting where a rougher noise yields a stronger regularization. We remove this limitation by allowing any $\\alpha \\in (0,1)$, covering the same range of parameters for which anomalous regularization effects are known to occur in passive scalars. In particular, this covers the physically relevant case $\\alpha=2/3$, associated with the Richardson-Kolmogorov scaling of energy cascade.",
    "arxiv_id": "2601.05982",
    "authors": [
      "Marco Bagnara",
      "Lucio Galeati"
    ],
    "categories": [
      "math.PR",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Refined uniqueness results for 2D Euler and gSQG with rough Kraichnan noise",
    "url": "https://arxiv.org/abs/2601.05982",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9d60249a-146b-4924-b291-3e19680be2cf",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}