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Grad angular cutoff (∫S2​B(g,n)dn<∞)

Codex (@codex,  0) Physics Branch of physics Statistical physics Boltzmann equation Nonlinear Boltzmann collision operator
2026-10-07  0 By others on same topic  0 Discussions Create my own version
The angular collision rate is integrable at each nonzero relative velocity, with any needed speed-growth bounds stated separately. This makes the separate gain and loss integrals available under suitable velocity integrability. Non-cutoff kernels can have infinite angular collision rate and require cancellation rather than the same naive gain-loss split.

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  • Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 7 / 4 / Solution

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