Scaling, self-similarity, and intermediate asymptotics
Grigory Isaakovich Barenblatt.
Cambridge : Cambridge University Press, ©1996.
xv, 386 págs. : ilustraciones ; 24 cm.
Serie: Cambridge texts in applied mathematics ; 14
ISBN: 0521435161 (hardcover), 0521435226 (pbk.)
Incluye referencias bibliográficas (p. [366]-382) e índice.
Reseña: MathSciNet, 98a:00005
Contenido
- 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.