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Blow‐up of solutions of the gain‐term‐only Boltzmann equation
Author(s) -
Illner R.,
Shinbrot M.,
Neunzert H.
Publication year - 1987
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670090120
Subject(s) - boltzmann equation , mathematics , term (time) , boltzmann constant , direct simulation monte carlo , mathematical analysis , mean free path , physics , thermodynamics , statistics , quantum mechanics , scattering , optics , dynamic monte carlo method , monte carlo method
It is shown that the Boltzmann equation with no loss term cannot have a global solution when the mean free path is small, even with initial data describing a cloud of gas released in an infinite vacuum.