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Kinetic Formulation of Conservation Laws (Oxford Lecture Series in Mathematics and Its Applications)
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ISBN: 0198509138
Author: Perthame, Benoit
Condition: New
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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Kinetic Formulation of Conservation Laws (Oxford Lecture Series in Mathematics and Its Applications)