In all existing works on the subject, the general strategy to derive hydrodynamic limits is to proceed by analogy, that is to recognize the structure of the expected limiting hydrodynamic model in the corresponding scaled Boltzmann equation. This explains for instance why all hydrodynamic limits are not equally understood.
The aim of this chapter is therefore to detail these analogies, focusing our attention on the point of view of functional analysis.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Saint-Raymond, L. (2009). Mathematical tools for the derivation of hydrodynamic limits. In: Hydrodynamic Limits of the Boltzmann Equation. Lecture Notes in Mathematics(), vol 1971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92847-8_3
Download citation
DOI: https://doi.org/10.1007/978-3-540-92847-8_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-92846-1
Online ISBN: 978-3-540-92847-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)