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- catalog abstract ""This book describes the energy method, a powerful technique for deriving nonlinear stability estimates in thermal convection contexts. It includes a very readable introduction to the subject (Chapters 2 to 4), which begins at an elementary level and explains the energy method in great detail, and also covers the current topic of convection in porous media, introducing simple models and then showing how useful stability results can be derived. In addition to the basic explanation, many examples from diverse areas of fluid mechanics are described. The book also mentions new areas where the methods are being used, for example, mathematical biology and finance. Several of the results given are published here for the first time."--BOOK JACKET.".
- catalog contributor b13051692.
- catalog created "c2004.".
- catalog date "2004".
- catalog date "c2004.".
- catalog dateCopyrighted "c2004.".
- catalog description ""This book describes the energy method, a powerful technique for deriving nonlinear stability estimates in thermal convection contexts. It includes a very readable introduction to the subject (Chapters 2 to 4), which begins at an elementary level and explains the energy method in great detail, and also covers the current topic of convection in porous media, introducing simple models and then showing how useful stability results can be derived. In addition to the basic explanation, many examples from diverse areas of fluid mechanics are described. The book also mentions new areas where the methods are being used, for example, mathematical biology and finance. Several of the results given are published here for the first time."--BOOK JACKET.".
- catalog description "1. Introduction -- 2. Illustration of the energy method -- 3. The Navier-Stokes equations and the Benard problem -- 4. Symmetry, competing effects, and coupling parameters -- 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. Reacting viscous fluids -- 14. Multi-component convection diffusion -- 15. Convection in a compressible fluid -- 16. Temperature dependent fluid properties -- 17. Penetrative convection -- 18. Nonlinear stability in ocean circulation models -- 19. Numerical solution of eigenvalue problems -- Appendix -- References -- Index.".
- catalog description "Includes bibliographical references (p. [397]-442) and index.".
- catalog extent "xii, 442 p. :".
- catalog identifier "038700453X (alk. paper)".
- catalog isPartOf "Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 91.".
- catalog isPartOf "Applied mathematical sciences ; 91".
- catalog issued "2004".
- catalog issued "c2004.".
- catalog language "eng".
- catalog publisher "Berlin : New York : Springer,".
- catalog subject "510 s 532/.05/01515355 21".
- catalog subject "Differential equations, Nonlinear Numerical solutions.".
- catalog subject "Fluid dynamics.".
- catalog subject "Heat Convection Mathematical models.".
- catalog subject "QA1 .A647 vol. 91 QA911".
- catalog tableOfContents "1. Introduction -- 2. Illustration of the energy method -- 3. The Navier-Stokes equations and the Benard problem -- 4. Symmetry, competing effects, and coupling parameters -- 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. Reacting viscous fluids -- 14. Multi-component convection diffusion -- 15. Convection in a compressible fluid -- 16. Temperature dependent fluid properties -- 17. Penetrative convection -- 18. Nonlinear stability in ocean circulation models -- 19. Numerical solution of eigenvalue problems -- Appendix -- References -- Index.".
- catalog title "The energy method, stability, and nonlinear convection / Brian Straughan.".
- catalog type "text".