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2021 | OriginalPaper | Chapter

1. A Priori Estimates from First Principles in Gas Dynamics

Author : Denis Serre

Published in: Waves in Flows

Publisher: Springer International Publishing

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Abstract

The topic that one calls Gas Dynamics studies the motion of a very large number of molecules when there is enough room between them so that each one can move, and the motion is dominant in the overall behaviour, contrary to the case of liquids. The molecules interact in one way or another. At first glance, one often identifies interactions to collisions, but we may also consider medium-range interaction through some potential such as that of Lennard-Jones. One considers only pairwise interactions, either because the collisions involving three or more particles are extremely rare, or because forces involve only pairs of particles.

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next chapter Equatorial Wave–Current Interactions
Footnotes
1
Personal communication from Luis Silvestre.
 
2
Mind that for the sake of simplicity, we consider only the kinetic part in the molecular energy. This applies to mono-atomic gases (e.g. Helium, Argon). For more general gases, we should consider the vibrational and rotational contributions.
 
3
We make the harmless assumption that the charge of cations is the exact opposite of the charge of anions.
 
4
We do not sum over pairs 1 ≤i < j ≤N because a given pair of particle may either never collide or collide several times.
 
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Metadata
Title
A Priori Estimates from First Principles in Gas Dynamics
Author
Denis Serre
Copyright Year
2021
Book
Waves in Flows

Print ISBN: 978-3-030-67844-9

Electronic ISBN: 978-3-030-67845-6

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-67845-6_1

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