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From Hyperbolic Systems to Kinetic Theory: A Personalized Quest download pdf ebook

From Hyperbolic Systems to Kinetic Theory: A Personalized Quest (Lecture Notes of the Unione Matematica Italiana)




Author: Luc Tartar
Type: eBook
Date Released: 2008
Format: pdf
Language: English
Page Count: 294
Isbn10 Code: 3540775617
Isbn13 Code: 9783540775614


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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نوشته شده در : یکشنبه 20 شهریور 1390  توسط : Leonel Merrill.    نظرات() .

http://fransiscadanek.soup.io/post/594912634/Rigid-Hammertoes-Treatments
دوشنبه 5 تیر 1396 05:51 ق.ظ
Stunning quest there. What occurred after? Good luck!
Verona
پنجشنبه 21 اردیبهشت 1396 02:45 ق.ظ
Hi there i am kavin, its my first occasion to commenting anywhere,
when i read this article i thought i could also create comment due to this brilliant post.
BHW
دوشنبه 28 فروردین 1396 02:51 ب.ظ
Thanks for sharing your info. I really appreciate your efforts and I am
waiting for your further write ups thanks once again.
 
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