{
  "annotation_id": "54fdd790-ee27-498e-bc08-1d6958e5d552",
  "date_created": "2026-02-17T05:53:24.374000Z",
  "date_modified": "2026-02-17T05:53:24.374000Z",
  "file_hash": "300624d0627616feb4aeac5b54722d36f3b034bee19da1d1416cf1181e615f62",
  "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": "v2"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d92629e0-9309-46c0-9a45-ad7d22d24bce",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}