| Titre : |
Scaling, self-similarity and intermediate asymptotics |
| Type de document : |
texte imprimé |
| Auteurs : |
Grigory Isaakovich Barenblatt, Auteur |
| Editeur : |
Cambridge : Cambridge University Press |
| Année de publication : |
1996 |
| Collection : |
Cambridge Texts in Applied Mathematics num. 14 |
| Importance : |
386 p. |
| Présentation : |
Broché. Fig., graph |
| Format : |
23 cm |
| ISBN/ISSN/EAN : |
978-0-521-43522-2 |
| Langues : |
Anglais (eng) |
| Catégories : |
(05.40) Fluctuations, processus aleatoires et mouvement Brownien
|
| Mots-clés : |
renormalization group |
| Index. décimale : |
05.40 |
| Résumé : |
1 Dimensions, dimensional analysis and similarity - 2 The construction of intermediate-asymptotic solutions using dimensional analysis. self-similar solutions - 3 Self-similarities of the second kind : first examples - 4 Self-similarities of the second king : further examples - 5 Classification of similarity rules and self-similarity solutions. A recipe for the application of similarity analysis - 6 Scaling and transformation groups. renormalization group - 7 Self-similar solutions and travelling waves - 8 Invariant solutions : asymptotic conservation laws, spectrum of eigenvalues and stability - 9 Scaling in the deformation and fracture of solids - 10 Scaling in turbulence - 11 Scaling in geophysical fluid dynamics - 12 Scaling : miscellanous special problems afterword references index |