{
  "annotation_id": "3c938add-0e59-4d71-89a6-9ddc864f5c94",
  "date_created": "2026-02-17T05:53:12.062000Z",
  "date_modified": "2026-02-17T05:53:12.062000Z",
  "file_hash": "b793fc1d757d612e265a87556a32aff86f696104c6447b7324925b3acd02f556",
  "private": false,
  "record": {
    "abstract": "Inspired by DiPerna-Lions\u0027 work \\cite{Diperna-Lions}, we study the renormalized solutions to the large-data Cauchy problem of the Boltzmann systems modeling mixture gases of monatomic and polyatomic species, in which the distribution functions $f_\\alpha$ characterized the polyatomic species contain the continuous internal energy variable $I \\in \\mathbb{R}_+$. We first construct the smooth approximated problem and establish the corresponding uniform and physically natural bounds. Then, by employing the averaged velocity (-internal energy) lemma, we can show that the weak $L^1$ limit of the approximated solution is exactly a renormalized solution what we required. Moreover, we also justify that the constructed renormalized solution subjects to the entropy inequality.",
    "arxiv_id": "2601.07480",
    "authors": [
      "Yi-Long Luo",
      "Jing-Xin Nie"
    ],
    "categories": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Global renormalized solutions to Boltzmann systems modeling mixture gases of monatomic and polyatomic species",
    "url": "https://arxiv.org/abs/2601.07480",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f5645f75-f76e-4f3a-aa0d-54cdab39889e",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}