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*{{cite book|last1=Harris|first1=Stewart|title=An introduction to the theory of the Boltzmann equation|publisher=Dover Books|pages=221|year=1971|isbn=978-0-486-43831-3|url=https://books.google.com/books?id=KfYK1lyq3VYC}}. Very inexpensive introduction to the modern framework (starting from a formal deduction from Liouville and the Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy (BBGKY) in which the Boltzmann equation is placed). Most statistical mechanics textbooks like Huang still treat the topic using Boltzmann's original arguments. To derive the equation, these books use a heuristic explanation that does not bring out the range of validity and the characteristic assumptions that distinguish Boltzmann's from other transport equations like [[wikipedia:Fokker–Planck_equation|Fokker–Planck]] or [[wikipedia:Landau_equation|Landau equations]].

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*{{cite journal|last1=Arkeryd|first1=Leif|title=On the Boltzmann equation part I: Existence|journal=Arch. Rational Mech. Anal.|volume=45|issue=1|pages=1–16|year=1972|doi=10.1007/BF00253392|bibcode=1972ArRMA..45....1A~~|s2cid=117877311~~}}

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*{{cite journal|last1=Arkeryd|first1=Leif|title=On the Boltzmann equation part I: Existence|journal=Arch. Rational Mech. Anal.|volume=45|issue=1|pages=1–16|year=1972|doi=10.1007/BF00253392|bibcode=1972ArRMA..45....1A}}

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*{{cite journal|last1=Arkeryd|first1=Leif|author1-link=Leif Arkeryd|title=On the Boltzmann equation part II: The full initial value problem|journal=Arch. Rational Mech. Anal.|volume=45|issue=1|pages=17–34|year=1972|doi=10.1007/BF00253393|bibcode=1972ArRMA..45...17A~~|s2cid=119481100~~}}

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*{{cite journal|last1=Arkeryd|first1=Leif|author1-link=Leif Arkeryd|title=On the Boltzmann equation part II: The full initial value problem|journal=Arch. Rational Mech. Anal.|volume=45|issue=1|pages=17–34|year=1972|doi=10.1007/BF00253393|bibcode=1972ArRMA..45...17A}}

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*{{cite journal|last1=Arkeryd|first1=Leif|title=On the Boltzmann equation part I: Existence|journal=Arch. Rational Mech. Anal.|volume=45|issue=1|pages=1–16|year=1972|doi=10.1007/BF00253392|bibcode=1972ArRMA..45....1A~~|s2cid=117877311~~}}

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*{{cite journal|last1=Arkeryd|first1=Leif|title=On the Boltzmann equation part I: Existence|journal=Arch. Rational Mech. Anal.|volume=45|issue=1|pages=1–16|year=1972|doi=10.1007/BF00253392|bibcode=1972ArRMA..45....1A}}

*{{cite journal|last1=DiPerna|first1=R. J.|last2=Lions|first2=P.-L.|title=On the Cauchy problem for Boltzmann equations: global existence and weak stability|journal=Ann. of Math.|series=2|volume=130|issue=2|pages=321–366|year=1989|doi=10.2307/1971423|jstor=1971423}}

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