{
  "annotation_id": "05ea54cc-a47c-4ca3-a275-08b0ef5d1d61",
  "date_created": "2026-02-17T05:53:08.515000Z",
  "date_modified": "2026-02-17T05:53:08.515000Z",
  "file_hash": "70dfe267fb62cf5c792754ea9908dd05227c9ded928f8d40f70b6bc914dd24d9",
  "private": false,
  "record": {
    "abstract": "In this paper, we consider the global regularity and the optimal time decay rate for the 2D isentropic hypo-viscous compressible Navier-Stokes equations. Firstly, we prove that there exists a global strong solution with the small initial data are close to the constant equilibrium state in $H^s$ framework with $s\u003e1$. Furthermore, by virtue of improved Fourier splitting method and the Littlewood-Paley decomposition theory, we then establish the optimal time decay rate for low regularity data.",
    "arxiv_id": "2601.06889",
    "authors": [
      "Chen Liang",
      "Zhaonan Luo",
      "Zhaoyang Yin"
    ],
    "categories": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Global regularity and sharp decay to the 2D Hypo-Viscous compressible Navier-Stokes equations",
    "url": "https://arxiv.org/abs/2601.06889",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0b47d815-b281-4343-a978-33e6e6598120",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}