{
  "annotation_id": "debf1fd0-fea0-4947-a0fd-c6b826fd0574",
  "date_created": "2026-02-17T05:53:24.389000Z",
  "date_modified": "2026-02-17T05:53:24.389000Z",
  "file_hash": "1ac8c8de9981adc5fa274be8125318d30620e2b8ce392c7f679391945a811bc9",
  "private": false,
  "record": {
    "abstract": "This paper compares two similar diffusion equations that appear in meteorology. One is the quasi-geostrophic equation, and the other is the convection-diffusion equation. Both are two-dimensional bilinear equations, and the order of differentiation is the same. Naturally, their scales also coincide. However, the direction in which the nonlinear effects act differs: one acts along the isothermal surface, while the other acts along the temperature gradient in a specified direction. The main assertion quantifies this difference through the large-time behavior of their solutions. In particular, the nonlinear distortions in the asymptotic profiles of both equations are compared. In this context, the spatial symmetry of the first approximation plays a crucial role, but the solutions require no symmetry.",
    "arxiv_id": "2601.10185",
    "authors": [
      "Masakazu Yamamoto"
    ],
    "categories": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Characteristics of drift effects in the quasi-geostrophic equation arising from nonlinear symmetry",
    "url": "https://arxiv.org/abs/2601.10185",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e64dfb42-1172-41e0-a563-5f0e2210b51f",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}