{
  "id": "2308.07524",
  "version": "v1",
  "published": "2023-08-15T01:27:14.000Z",
  "updated": "2023-08-15T01:27:14.000Z",
  "title": "A new stability result for the 2D Boussinesq equations with horizontal dissipation",
  "authors": [
    "Hong Sung Jin",
    "Minkyu Kwak",
    "Bataa Lkhagvasuren"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "For $\\mathbb{R}^2$, the stability of smooth solutions of 2D anisotropic Boussinesq equations with horizontal dissipation is an open problem. In this work, we present a partial answer to this problem in a rougher function space $H^{0,s}(\\mathbb{R}^2)$. Moreover, the previous stability results with the regularity index $\\frac 12<s<1$ is extended to an integer $1\\le s$ and the elementary techniques are used.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-15T01:27:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "2d boussinesq equations",
      "stability result",
      "horizontal dissipation",
      "2d anisotropic boussinesq equations",
      "rougher function space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}