Author | Straughan, Brian. author |
---|---|
Title | The Energy Method, Stability, and Nonlinear Convection [electronic resource] / by Brian Straughan |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1992 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-2194-2 |
Descript | XII, 243 p. online resource |
1. Introduction -- 2. Illustration of the Energy Method on Simple Examples and Discussion of Linear Theory -- 3. The Navier-Stokes Equations, the Boussinesq Approximation, and the Standard Bรฉnard Problem -- 4. Symmetry, Competing Effects, and Coupling Parameters; Multiparameter Eigenvalue Problems; Finite Geometries -- 5. Convection Problems in a Half-Space -- 6. Generalized Energies and the Lyapunov Method -- 7. Geophysical Problems -- 8. Surface Tension Driven Convection -- 9. Convection in Generalized Fluids -- 10. Time Dependent Basic States -- 11. Electrohydrodynamic and Magnetohydrodynamic Convection -- 12. Ferrohydrodynamic Convection -- 13. Convective Instabilities for Reacting Viscous Fluids Far from Equilibrium -- 14. Energy Stability and Other Continuum Theories -- Appendix 1. Some Useful Inequalities in Energy Stability Theory -- Appendix 2. Numerical Solution of the Energy Eigenvalue Problem -- A2.1 The Shooting Method -- A2.2 A System: The Viola Eigenvalue Problem -- A2.3 The Compound Matrix Method -- A2.4 Numerical Solution of (4.65), (4.66) Using Compound Matrices -- References