Astrophysics (Index)About

Sobolev approximation

(tractable model used in specific kinds of spectral line analysis)

The Sobolev approximation is a means of approximating the solution to the radiative transfer equation under specific challenging conditions, i.e., in gas with a very high velocity gradient. In astrophysics, it is used in the analysis of spectral lines, i.e., to model the environment that produces observed lines. The Sobolev approximation assumes local variation in the velocity gradient are negligible as compared to variations over longer lengths. The Sobolev length is a calculated distance below which gradations are presumed ignorable.


(mathematics,model,spectrography,radiative transfer)
Further reading:
http://dictionary.obspm.fr/?showAll=1&formSearchTextfield=Sobolev+approximation
https://ui.adsabs.harvard.edu/abs/1985ApJ...293..258H/abstract
http://www.ifa.hawaii.edu/users/kud/teaching_12/wind_4.pdf

Referenced by pages:
line shape function

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