From Hyperbolic Systems to Kinetic Theory: A Personalized Quest

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!

Meer over Lecture

Over dit product

Boekdetails

Misschien vind je dit ook leuk

Berserk Deluxe Volume 1

Throne of Glass Box Set (Paperback): The complete series in paperback from the author of ACOTAR

The Hobbit and the Lord of the Rings

Invincible Compendium Volume 1

The Lord of the Rings Deluxe Illustrated by the Author: Special Edition

Vagabond (VIZBIG Edition), Vol. 3: One With Heaven and Earth: Volume 3

Vagabond (VIZBIG Edition), Vol. 7: Volume 7

The Six of Crows Duology Boxed Set: Six of Crows and Crooked Kingdom

Finale: A Caraval Novel

The First Law Trilogy