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Linear Boltzmann equation and some Dirichlet series
http://sms.cam.ac.uk/media/1074221
Bobylev, A (Karlstad)
Tuesday 28 September 2010, 15:0015:45
40
Linear Boltzmann equation and some Dirichlet series
http://sms.cam.ac.uk/media/1074221
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Linear Boltzmann equation and some Dirichlet series
ucs_sms_870209_1074221
http://sms.cam.ac.uk/media/1074221
Linear Boltzmann equation and some Dirichlet series
Bobylev, A (Karlstad)
Tuesday 28 September 2010, 15:0015:45
Fri, 01 Oct 2010 10:02:46 +0100
Bobylev, A
Steve Greenham
Isaac Newton Institute
Bobylev, A
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Bobylev, A (Karlstad)
Tuesday 28 September 2010, 15:0015:45
Bobylev, A (Karlstad)
Tuesday 28 September 2010, 15:0015:45
Cambridge University
2335
http://sms.cam.ac.uk/media/1074221
Linear Boltzmann equation and some Dirichlet series
Bobylev, A (Karlstad)
Tuesday 28 September 2010, 15:0015:45
It is shown that a broad class of generalized Dirichlet series (including the polylogarithm, related to the Riemann zeta function) can be presented as a class of solutions of the Fourier transformed spatially homogeneous linear Boltzmann equation with a special Maxwell type collision kernel. The proof uses an explicit integral representation of solutions to the Cauchy problem for the Boltzmann equation. Possible applications to the theory of Dirichlet series are briefly discussed. The talk is based on joint paper with Irene Gamba.
20101001T10:02:51+01:00
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