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Convergence Rates to Equilibrium for Neutron Chain Fissions

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Abstract

We study a class of nonlinear equations arising in the stochastic theory of neutron transport. After proving existence and uniqueness of the solution, we consider the large-time behaviour of the solution and give explicit rates of convergence of the solution towards the asymptotic state.

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Authors and Affiliations

  1. Université de Franche-Comté, Besançon, France

    Mustapha Mokhtar-Kharroubi

  2. Università degli Studi di Pavia, Pavia, Italy

    Francesco Salvarani

Authors
  1. Mustapha Mokhtar-Kharroubi
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  2. Francesco Salvarani
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Correspondence to Francesco Salvarani.

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Mokhtar-Kharroubi, M., Salvarani, F. Convergence Rates to Equilibrium for Neutron Chain Fissions. Acta Appl Math 113, 145–165 (2011). https://doi.org/10.1007/s10440-010-9590-6

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  • DOI: https://doi.org/10.1007/s10440-010-9590-6

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