Nonlinear dynamics of surface-tension-driven instabilities /
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| Author / Creator: | Colinet, P. (Pierre) |
|---|---|
| Edition: | 1st ed. |
| Imprint: | Berlin ; New York : Wiley-VCH, 2001. |
| Description: | xv, 512 p. : ill. ; 25 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4500614 |
Table of Contents:
- 1. Introduction
- 1.1. Equilibrium versus non-equilibrium states and instability phenomena
- 1.2. Phenomenology of surface-tension-driven instabilities
- 1.3. Mathematical description of bifurcation phenomena
- 1.4. Application-oriented aspects
- 2. Balance equations and boundary conditions
- 2.1. Thermo-Hydrodynamic equations
- 2.2. Boundary conditions
- 3. Instability modes in Benard layers
- 3.1. Reference states and small perturbations
- 3.2. Dimensionless parameters and equations
- 3.3. Monotonic modes in one-layer systems
- 3.4. Wave modes in one-layer systems
- 3.5. Two-layer systems
- 3.6. Influence of surface deformation
- 3.7. Two-component one-layer systems
- 3.8. Influence of evaporation
- 4. Weakly nonlinear pattern dynamics
- 4.1. Scope of nonlinear theories
- 4.2. Derivation of amplitude equations
- 4.3. Pattern selection in Benard instabilities
- 4.4. Pattern selection in Rayleigh-Marangoni instabilities
- 4.5. Imperfect patterns
- 4.6. Long-wave convection patterns
- 5. Weakly nonlinear waves
- 5.1. Hopf bifurcation with finite wavenumber
- 5.2. Weakly nonlinear internal and surface waves
- 5.3. Double-diffusive oscillatory Marangoni convection
- 5.4. Two-layer Rayleigh-Benard instability
- 5.5. Modulations of two-dimensional waves
- 6. Solitonic and shock-like waves
- 6.1. Some experimental findings
- 6.2. Dissipative Korteweg-de Vries description of transverse waves
- 6.3. Dilational shock-like longitudinal waves
- 7. Codimension-two bifurcations
- 7.1. Spatially resonant patterns in confined geometries
- 7.2. Strong spatial resonances between waves and patterns
- 8. Strongly nonlinear regimes
- 8.1. Finite-amplitude regimes of thermocapillary convection
- 8.2. Modeling of highly viscous interfacial turbulence. A. Basic definitions and transport theorems
- B. Self-adjointness and oscillatory modes
- C. Linear energy stability and variational principles
- D. Adjoint problems for Rayleigh-Marangoni-Benard instabilities
- E. Fredholm solvability condition
- F. Energy stability theory for the Marangoni-Benard problem
- G. Amplitude equation coefficients for the two-layer Rayleigh-Benard problem
- H. Extrapolation of amplitude equations.
