Nonlinear hydrodynamic modeling : a mathematical introduction
保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| シリーズ: | Lecture notes in physics
271 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nonlinear hydrodynamic modeling, a mathematical introduction, ed. by Hampton N. Shirer, Berlin, Springer, 1987, 1 vol. (XVI-546 p.), Lecture notes in physics, 3-540-17557-1 • Nonlinear Hydrodynamic Modeling: A Mathematical Introduction, Texte imprimé, 9783662136423 • Nonlinear Hydrodynamic Modeling: A Mathematical Introduction, Texte imprimé, 9783662136430 |
目次:
- Modeling: A strategy for understanding
- A simple nonlinear model of convection
- From the equations of motion to spectral models
- Linear stability analysis
- Bifurcation analysis of stationary solutions
- Typical branching forms: Stationary solutions
- The expected branching solution: Preferred wavelengths
- Identifying crucial parameters with contact catastrophe theory
- Hierarchies of transitions: Secondary branching
- Alexander-Yorke Continuation: Numerically finding all the stationary solutions in a spectral model
- Typical branching forms: Periodic solutions
- The expected branching solution: Preferred wavelengths and orientations
- On computing the branching direction of bifurcating periodic solutions
- Bifurcation analysis of periodic solutions
- The transition to turbulence
- Diagnosing the structures of attractors
- to topological hydrodynamics
- Modeling and metamodeling.