The energy method, stability, and nonlinear convection

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Auteur principal : Straughan Brian (Auteur)
Format : Livre
Langue : anglais
Titre complet : The energy method, stability, and nonlinear convection / Brian Straughan
Publié : New York, Paris [etc.] : Springer-Verlag , C 1992
Description matérielle : 1 vol. (XII-242 p.)
Collection : Applied mathematical sciences ; 91
Sujets :
  • 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 Bénard problem
  • 4. Symmetry, competing effects, and coupling parameters; multiparameter eigenvalue problems; finite geometry
  • 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