On the Determinant Problem for the Relativistic Boltzmann Equation
SCIE
SCOPUS
- Title
- On the Determinant Problem for the Relativistic Boltzmann Equation
- Authors
- Chapman J.; Jang J.W.; Strain R.M.
- Date Issued
- 2021-06
- Publisher
- Springer Verlag
- Abstract
- This article considers a long-outstanding open question regarding the Jacobian determinant for the relativistic Boltzmann equation in the center-of-momentum coordinates. For the Newtonian Boltzmann equation, the center-of-momentum coordinates have played a large role in the study of the Newtonian non-cutoff Boltzmann equation, in particular we mention the widely used cancellation lemma [1]. In this article we calculate specifically the very complicated Jacobian determinant, in ten variables, for the relativistic collision map from the momentum p to the post collisional momentum p
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/107673
- DOI
- 10.1007/s00220-021-04101-2
- ISSN
- 0010-3616
- Article Type
- Article
- Citation
- Communications in Mathematical Physics, vol. 384, no. 3, page. 1913 - 1943, 2021-06
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