Kinetic Formulation of Conservation Laws
Language: English
Published by Oxford University Press, GB, 2002
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
£ 214.25
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Add to basketItem description from seller
This book gives a general presentation of the mathematical and numerical connections 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.Special care has been given to introduce basic tools, including the classical Boltzmann formalism to derive compressible fluid dynamics, the study of oscillatons through the kinetic defect measure, and an elementary construction of solutions to scalar conservation laws. More advanced material contains regularizing effects through averaging lemmas, existence of global large solutions to isentropic gas dynamics, and a new uniqueness proof for scalar conservation laws. Sections are also devoted to the derivation of numerical approaches, the 'kinetic schemes', and the analysis of their theoretical properties.…
Seller Inventory # LU-9780198509134
- Title
- Kinetic Formulation of Conservation Laws
- Author
- Benoit Perthame
- Publisher
- Oxford University Press, GB
- Publication year
- 2002
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0198509138
- ISBN 13
- 9780198509134
- Item weight
- 431 grams
Special care has been given to introduce basic tools, including the classical Boltzmann formalism to derive compressible fluid dynamics, the study of oscillatons through the kinetic defect measure, and an elementary construction of solutions to scalar conservation laws. More advanced material contains regularizing effects through averaging lemmas, existence of global large solutions to isentropic gas dynamics, and a new uniqueness proof for scalar conservation laws. Sections are also devoted to the derivation of numerical approaches, the 'kinetic schemes', and the analysis of their theoretical properties.
"Synopsis" may belong to another edition of this title.
About the Author
ENS/DMA
45, rue d'Ulm; F-75230 Paris Cedex 05 FRANCE
33-1-44322036 phone
33-1-44322080 fax
benoit.perthame@ens.fr
French, born France, June 23 1959
"About the title" may belong to another edition of this title.
Rarewaves.com UK
London, United Kingdom
AbeBooks seller since June 11, 2025
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