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Singular perturbation techniques in the study of a dynamical system arising from the kinetic theory of atoms and photons

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Publication:1294375
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DOI10.1016/S0096-3003(97)10124-2zbMath0968.82023MaRDI QIDQ1294375

Riccardo Riganti, Alberto Rossani

Publication date: 29 June 1999

Published in: Applied Mathematics and Computation (Search for Journal in Brave)


zbMATH Keywords

singular perturbationskinetic equationsgas-radiation interactionsinteracting atoms and photonsstiff-initial-value problems


Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)




Cites Work

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  • Singular perturbation methods for ordinary differential equations
  • Numerical simulations of a Boltzmann model for reacting gases
  • Kinetic approach for two-level atoms interacting with monochromatic photons
  • Asymptotic analysis of singularly perturbed systems of ordinary differential equations
  • Boltzmann equation for inelastic scattering
  • An Application of the Mathieu Equation to a Radiative Transfer Problem


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