Scaling, self-similarity, and intermediate asymptotics / Grigory Isaakovich Barenblatt.
Idioma: Inglés Lenguaje original: Ruso Series Cambridge texts in applied mathematics ; 14Editor: Cambridge : Cambridge University Press, c1996Descripción: xv, 386 p. : il. ; 24 cmISBN: 0521435161 (hardcover); 0521435226 (pbk.)Títulos uniformes: Podobie, avtomodel'nost', promezhutochnaia asimptotika. Inglés Tema(s): Mathematical physics | Dimensional analysis | Differential equations -- Asymptotic theoryOtra clasificación: 00A73 (35C20 35Qxx 74S99 76M99 80-02 86-02) Recursos en línea: Publisher description | Table of contents1. Dimensions, dimensional analysis and similarity2. The application of dimensional analysis to the construction of intermediate asymptotic solutions to problems of mathematical physics. Self-similar solutions3. Self-similarities of the second kind: first examples4. Self-similarities of the second kind: further examples5. Classification of similarity rules and self-similarity solutions. Recipe for application of similarity analysis6. Scaling and transformation groups. Renormalization groups7. Self-similar solutions and travelling waves8. Invariant solutions: special problems of the theory9. Scaling in deformation and fracture in solids10. Scaling in turbulence11. Scaling in geophysical fluid dynamics12. Scaling: miscellaneous special problems.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 00A73 B248 (Browse shelf) | Available | A-8378 |
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| 00A71 M235 Mathematical modeling and computer simulation / | 00A71 M426 Mathematical modelling : | 00A71 M818 A course in mathematical modeling / | 00A73 B248 Scaling, self-similarity, and intermediate asymptotics / | 00A79 B662 Mathematical methods in the physical sciences / | 00A79 B731 Introduction géométrique a quelques théories physiques / | 00A79 C187 Foundations of science : |
Incluye referencias bibliográficas (p. [366]-382) e índice.
1. Dimensions, dimensional analysis and similarity -- 2. The application of dimensional analysis to the construction of intermediate asymptotic solutions to problems of mathematical physics. Self-similar solutions -- 3. Self-similarities of the second kind: first examples -- 4. Self-similarities of the second kind: further examples -- 5. Classification of similarity rules and self-similarity solutions. Recipe for application of similarity analysis -- 6. Scaling and transformation groups. Renormalization groups -- 7. Self-similar solutions and travelling waves -- 8. Invariant solutions: special problems of the theory -- 9. Scaling in deformation and fracture in solids -- 10. Scaling in turbulence -- 11. Scaling in geophysical fluid dynamics -- 12. Scaling: miscellaneous special problems.
MR, 98a:00005
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