From Hyperbolic Systems to Kinetic Theory

Name: From Hyperbolic Systems to Kinetic Theory
Brand: Springer, Berlin
SKU: 9783540775614
Price: 1213 CZK
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A Personalized Quest

Autor: Luc Tartar

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

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Equations of state are not always effective in continuum mechanics. Maxwell and Boltzmann created a...

Informace o knize

Autor

Luc Tartar

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2008

Stránek

282

EAN

9783540775614

ISBN

3540775617

Enbook ID

02108107

Vydavatel

Springer, Berlin

Hmotnost

440

Rozměry

157 x 235 x 16

Kompletní popis

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!

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From Hyperbolic Systems to Kinetic Theory

A Personalized Quest

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také