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Kinetic Formulation of Conservation Laws

Kinetic Formulation of Conservation Laws

Hardcover

Series: Oxford Lecture Mathematics and Its Applications

LinguisticsGeneral MathematicsPhysics

ISBN10: 0198509138
ISBN13: 9780198509134
Publisher: Clarendon Press
Published: Feb 13 2003
Pages: 212
Weight: 1.05
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
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.

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