Description
Excerpt from Asymptotic Equivalence of the Navier-Stokes and Nonlinear Boltzmann Equations
One of the most interesting features of the use of Boltzmann''s equation to describe the behavior of a gas is the possibility of a radically different macroscopic description of the gas via the navier-stokes or inviscid Euler Equations. The fact that there is an overlapping range where both theories are believed to be valid on physical grounds suggests the strictly mathematical question of a connection between the theories of the Boltzmann and navier-stokes equations. The relationship is extremely singular, first because the variables used to describe the state of the gas are so dissimilar, and second because the time scales on which the gas evolves are apparently unrelated.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
One of the most interesting features of the use of Boltzmann''s equation to describe the behavior of a gas is the possibility of a radically different macroscopic description of the gas via the navier-stokes or inviscid Euler Equations. The fact that there is an overlapping range where both theories are believed to be valid on physical grounds suggests the strictly mathematical question of a connection between the theories of the Boltzmann and navier-stokes equations. The relationship is extremely singular, first because the variables used to describe the state of the gas are so dissimilar, and second because the time scales on which the gas evolves are apparently unrelated.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Details
Publisher - Forgotten Books
Language - English
Hardback
Contributors
Author
Harold Grad
Published Date -
ISBN - 9780265198681
Dimensions - 22.9 x 15.2 x 0.4 cm
Page Count - 65
Paperback
Contributors
Author
Harold Grad
Published Date -
ISBN - 9781332102464
Dimensions - 22.9 x 15.2 x 0.4 cm
Page Count - 67
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