Derivation of the Isotropic Diffusion Source Approximation (IDSA) for Supernova Neutrino Transport by Asymptotic Expansions

DOI10.1137/12089243XzbMath1307.35181arXiv1212.1623MaRDI QIDQ5397625

Heiko Berninger, Matthias Liebendörfer, Jérôme Michaud, Emmanuel Frénod, Martin J. Gander

Publication date: 24 February 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1623

zbMATH Keywords

asymptotic expansion Boltzmann equation radiative transfer diffusion limit neutrino core-collapse supernova

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Transport processes in time-dependent statistical mechanics (82C70) Galactic and stellar structure (85A15) Radiative transfer in astronomy and astrophysics (85A25) Boltzmann equations (35Q20) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (5)

Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods ⋮ A mathematical description of the IDSA for supernova neutrino transport, its discretization and a comparison with a finite volume scheme for Boltzmann’s equation ⋮ Partition of Unity Methods for Heterogeneous Domain Decomposition ⋮ The IDSA and the homogeneous sphere: issues and possible improvements ⋮ Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration

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