Kinetic formulation of conservation laws
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...
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New York
Oxford University Press
2002
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| Thư viện lưu trữ: | Trung tâm Học liệu Trường Đại học Trà Vinh |
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| Özet: | 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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| Fiziksel Özellikler: | xi, 198 p. 24 cm |
| ISBN: | 0198509138 9780198509134 |