{
  "id": "1912.11992",
  "version": "v1",
  "published": "2019-12-27T05:16:45.000Z",
  "updated": "2019-12-27T05:16:45.000Z",
  "title": "Korteweg--de Vries limit for the Fermi--Pasta--Ulam system",
  "authors": [
    "Younghun Hong",
    "Chulkwang Kwak",
    "Changhun Yang"
  ],
  "comment": "48page",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we develop dispersive PDE techniques for the Fermi--Pasta--Ulam (FPU) system with infinitely many oscillators, and we show that general solutions to the infinite FPU system can be approximated by counter-propagating waves governed by the Korteweg--de Vries (KdV) equation as the lattice spacing approaches zero. Our result not only simplifies the hypotheses but also reduces the regularity requirement in the previous study [45].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-27T05:16:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37L60",
      "35Q53"
    ],
    "keywords": [
      "korteweg-de vries limit",
      "fermi-pasta-ulam system",
      "lattice spacing approaches zero",
      "infinite fpu system",
      "dispersive pde techniques"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}