Výsledky vyhledávání - "Illner, Reinhard"

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Classical solvability of the relativistic Vlasov-Maxwell system with bounded spatial density

Autor: Sospedra-Alfonso, Reinel, Illner, Reinhard

Publikováno v: Math. Meth. Appl. Sci., 33:751-757 (2010)

In (Arch. Rational. Mech. Anal 1986, 92:59-90), Glassey and Strauss showed that if the growth in the momentum of the particles is controlled, then the relativistic Vlasov-Maxwell system has a classical solution globally in time. Later they proved tha

Externí odkaz: http://arxiv.org/abs/1209.0141

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Global Classical Solutions of the Relativistic Vlasov-Darwin System with Small Cauchy Data: the Generalized Variables Approach

Autor: Sospedra-Alfonso, Reinel, Agueh, Martial, Illner, Reinhard

Publikováno v: Arch. Rational Mech. Anal. 205(3):827-869 (2012)

We show that a smooth, small enough Cauchy datum launches a unique classical solution of the relativistic Vlasov-Darwin (RVD) system globally in time. A similar result is claimed in Comm. Math. Sci. 6, 749-764 (2008) following the work in Int. Mat. R

Externí odkaz: http://arxiv.org/abs/1107.0947

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

Autor: Andreasson, Hakan, Calogero, Simone, Illner, Reinhard

Publikováno v: Math. Meth. Appl. Sci. 27, 2231--2240 (2004)

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 existenc

Externí odkaz: http://arxiv.org/abs/math-ph/0402024

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