Diffusion asymptotics for linear transport with low regularity

Herbert Egger, Matthias Schlottbom*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)


We provide an asymptotic analysis of linear transport problems in the diffusion limit under minimal regularity assumptions on the domain, the coefficients, and the data. The weak form of the limit equation is derived and the convergence of the solution in the L2 norm is established without artificial regularity requirements. This is important to be able to deal with problems involving realistic geometries and heterogeneous media. In a second step we prove the usual O(ε) convergence rates under very mild additional assumptions. The generalization of the results to convergence in Lp with p≠2 and some limitations are discussed.

Original languageEnglish
Pages (from-to)365-377
Number of pages13
JournalAsymptotic analysis
Issue number3-4
Publication statusPublished - 1 Jan 2014
Externally publishedYes


  • Asymptotic analysis
  • Diffusion limits
  • Neutron transport
  • Radiative transfer


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