Téléchargez le livre : From Hyperbolic Systems to Kinetic Theory

From Hyperbolic Systems to Kinetic Theory

A Personalized Quest

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Éditeur :

Springer


Collection :

Lecture Notes of the Unione Matematica Italiana

Paru le : 2008-02-26



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Description
Equations of state are not always effective in continuum mechanics. Maxwell and Boltzmann created a kinetic theory of gases, using classical mechanics. How could they derive the irreversible Boltzmann equation from a reversible Hamiltonian framework? By using probabilities, which destroy physical reality! Forces at distance are non-physical as we know from Poincaré's theory of relativity. Yet Maxwell and Boltzmann only used trajectories like hyperbolas, reasonable for rarefied gases, but wrong without bound trajectories if the "mean free path between collisions" tends to 0. Tartar relies on his H-measures, a tool created for homogenization, to explain some of the weaknesses, e.g. from quantum mechanics: there are no "particles", so the Boltzmann equation and the second principle, can not apply. He examines modes used by energy, proves which equation governs each mode, and conjectures that the result will not look like the Boltzmann equation, and there will be more modes than those indexed by velocity!
Pages
282 pages
Collection
Lecture Notes of the Unione Matematica Italiana
Parution
2008-02-26
Marque
Springer
EAN papier
9783540775614
EAN PDF
9783540775621
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
28
Taille du fichier
4475 Ko
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Prix
52,74 €

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