@article{DiPernaLions1989,
  author = {DiPerna, Ronald J. and Lions, Pierre-Louis},
  title = {On the {Cauchy} problem for {Boltzmann} equations: Global existence and weak stability},
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}

@article{DiPernaLions1991,
  author = {DiPerna, Ronald J. and Lions, Pierre-Louis},
  title = {Global solutions of {Boltzmann}'s equation and the entropy inequality},
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  note = {\href{https://doi.org/10.1007/BF00375684}{DOI: \nolinkurl{10.1007/BF00375684}}}
}

@article{GolseLionsPerthameSentis1988,
  author = {Golse, Fran{\c{c}}ois and Lions, Pierre-Louis and Perthame, Beno{\^i}t and Sentis, R{\'e}mi},
  title = {Regularity of the moments of the solution of a transport equation},
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}

@article{LevermoreMasmoudi2010,
  author = {Levermore, C. David and Masmoudi, Nader},
  title = {From the {Boltzmann} Equation to an Incompressible {Navier--Stokes--Fourier} System},
  journal = {Archive for Rational Mechanics and Analysis},
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  note = {\href{https://doi.org/10.1007/s00205-009-0254-5}{DOI: \nolinkurl{10.1007/s00205-009-0254-5}}}
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@misc{Silvestre2022,
  author = {Silvestre, Luis},
  title = {Regularity estimates and open problems in kinetic equations},
  year = {2022},
  eprint = {2204.06401},
  archivePrefix = {arXiv},
  primaryClass = {math.AP},
  doi = {10.48550/arXiv.2204.06401},
  url = {https://arxiv.org/abs/2204.06401},
  note = {\href{https://doi.org/10.48550/arXiv.2204.06401}{DOI: \nolinkurl{10.48550/arXiv.2204.06401}}}
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@article{GambaPanferovVillani2009,
  author = {Gamba, Irene M. and Panferov, Vladislav and Villani, C{\'e}dric},
  title = {Upper {Maxwellian} Bounds for the Spatially Homogeneous {Boltzmann} Equation},
  journal = {Archive for Rational Mechanics and Analysis},
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}

@article{KanielShinbrot1978,
  author = {Kaniel, Shmuel and Shinbrot, Marvin},
  title = {The {Boltzmann} equation. {I}. {Uniqueness} and local existence},
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}

@article{Ukai1974,
  author = {Ukai, Seiji},
  title = {On the Existence of Global Solutions of Mixed Problem for Non-linear {Boltzmann} Equation},
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@article{Wennberg1999,
  author = {Wennberg, Bernt},
  title = {An Example of Nonuniqueness for Solutions to the Homogeneous {Boltzmann} Equation},
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@article{MischlerWennberg1999,
  author = {Mischler, St{\'e}phane and Wennberg, Bernt},
  title = {On the spatially homogeneous {Boltzmann} equation},
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@article{ChenHolmer2024,
  author = {Chen, Xuwen and Holmer, Justin},
  title = {Well/ill-posedness bifurcation for the {Boltzmann} equation with constant collision kernel},
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  number = {2},
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@misc{ChenGuoShenZhang2026,
  author = {Chen, Xuwen and Guo, Yan and Shen, Shunlin and Zhang, Zhifei},
  title = {Sharp {$H_x^s$} Ill-posedness of the Hard-sphere {Boltzmann} Equation},
  year = {2026},
  eprint = {2606.01331},
  archivePrefix = {arXiv},
  primaryClass = {math.AP},
  doi = {10.48550/arXiv.2606.01331},
  url = {https://arxiv.org/abs/2606.01331},
  note = {\href{https://arxiv.org/abs/2606.01331v3}{arXiv:2606.01331v3}, September 13, 2026}
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@misc{GismondiGoldingNovack2026,
  author = {Gismondi, Nicholas and Golding, William and Novack, Matthew},
  title = {A sharp rigidity/flexibility threshold for the isotropic {Landau} equation},
  year = {2026},
  eprint = {2608.13758},
  archivePrefix = {arXiv},
  primaryClass = {math.AP},
  doi = {10.48550/arXiv.2608.13758},
  url = {https://arxiv.org/abs/2608.13758},
  note = {\href{https://arxiv.org/abs/2608.13758v1}{arXiv:2608.13758v1}, August 13, 2026}
}


@article{HarrisRoberts2017,
  author = {Harris, Simon C. and Roberts, Matthew I.},
  title = {The many-to-few lemma and multiple spines},
  journal = {Annales de l'Institut Henri Poincar{\'e}, Probabilit{\'e}s et Statistiques},
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@article{Doeblin1940,
  author = {Doblin, Wolfgang},
  title = {{\'E}l{\'e}ments d'une th{\'e}orie g{\'e}n{\'e}rale des cha{\^i}nes simples constantes de {Markoff}},
  journal = {Annales scientifiques de l'{\'E}cole Normale Sup{\'e}rieure},
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}