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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書目詳細資料
主要作者: Perthame, Benoit
其他作者: Benoit Perthame
語言:Undetermined
出版: New York Oxford University Press 2002
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Trà Vinh
實物特徵
總結: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.
實物描述:xi, 198 p.
24 cm
ISBN:0198509138
9780198509134