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  On Blowup for Gain-Term-Only classical and relativistic Boltzmann equations

Andreasson, H., Calogero, S., & Illner, R. (2004). On Blowup for Gain-Term-Only classical and relativistic Boltzmann equations. Mathematical Methods in the Applied Sciences, 27(18), 2231-2240.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5106-9 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5107-7
Genre: Journal Article

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0402024.pdf (Preprint), 160KB
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 Creators:
Andreasson, Hakan, Author
Calogero, Simon1, Author
Illner, Reinhard, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: We show that deletion of the loss part of the collision term in all physically relevant versions of the Boltzmann equation, including the relativistic case, will in general lead to blowup in finite time of a solution and hence prevent global existence. Our result corrects an error in the proof given in Ref. [12], where the result was announced for the classical hard sphere case; here we give a simpler proof which applies much more generally.

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Language(s): eng - English
 Dates: 2004
 Publication Status: Published in print
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 Identifiers: eDoc: 119217
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Title: Mathematical Methods in the Applied Sciences
Source Genre: Journal
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Pages: - Volume / Issue: 27 (18) Sequence Number: - Start / End Page: 2231 - 2240 Identifier: -