Barenblatt, G. I.
[Podobie, avtomodel'nost', promezhutochnaia asimptotika. Inglés]
Scaling, self-similarity, and intermediate asymptotics / Grigory Isaakovich Barenblatt.
— Cambridge : Cambridge University Press, c1996. xv, 386 p. : il. ; 24 cm. — (Cambridge texts in applied mathematics ; 14)
Incluye referencias bibliográficas (p. [366]-382) e índice.
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.
ISBN 0521435161 (hardcover). — ISBN 0521435226 (pbk.)
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