Kinetic Formulation of Conservation Laws Contributor(s): Perthame, B. (Author), Perthame, Benoit (Author) |
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ISBN: 0198509138 ISBN-13: 9780198509134 Publisher: OUP Oxford OUR PRICE: $161.50 Product Type: Hardcover Published: February 2003 |
Additional Information |
BISAC Categories: - Science | Mechanics - General - Mathematics | Differential Equations - General - Language Arts & Disciplines | Linguistics - General |
Dewey: 533.7 |
LCCN: 2002075714 |
Physical Information: 0.5" H x 6.14" W x 9.21" (1.05 lbs) 216 pages |
Descriptions, Reviews, Etc. |
Publisher Description: This book gives a general presentation of the mathematical connections between kinetic theory and conservation laws based on several earlier works with P. L. Lions and E. Tadmor, as well as on more recent developments. The kinetic formalism approach allows the reader to consider Partial Differential Equations, such as some nonlinear conservation laws, as linear kinetic (or semi-kinetic) equations acting on a nonlinear quantity. It also aids the reader with using Fourier transform, regularisation, and moments methods to provide new approaches for proving uniqueness, regularizing effects, and a priori bounds. |