Alexander L. Fetter, John Dirk Walecka

Nonlinear Mechanics (eBook, ePUB)

A Supplement to Theoretical Mechanics of Particles and Continua

• Format: ePub

Produktbeschreibung

In their prior Dover book, Theoretical Mechanics of Particles and Continua, Alexander L. Fetter and John Dirk Walecka provided a lucid and self-contained account of classical mechanics, together with appropriate mathematical methods. This supplementan update of that volumeoffers a bridge to contemporary mechanics.
The original book's focus on continuum mechanicswith chapters on sound waves in fluids, surface waves on fluids, heat conduction, and viscous fluidsforms the basis for this supplement's discussion of nonlinear continuous systems. Topics include linearized stability analysis; a detailed examination of the Rayleigh-Bénard problem, from its formulation to issues of linearized theory of convective instability and expansion in Fourier modes; and the direct derivation of Lorenz equations for simple physical configuration. The first half of the original text deals with particle mechanics, and this supplement returns to the study of systems with a finite number of degrees of freedom. A concluding section presents a series of problems that reinforce the supplement's teachings.

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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 160
• Erscheinungstermin: 6. April 2012
• Englisch
• ISBN-13: 9780486136998
• Artikelnr.: 39138715

Autorenporträt

Alexander L. Fetter and John Dirk Walecka

Inhaltsangabe

Part 1. Introduction 1. Motivation Part 2. Nonlinear Continuous Systems 2.
Linearized stability analysis 3. Rayleigh-Bénard problem: basic formulation
4. Rayleigh-Bénard problem: linearized theory of convective instability 5.
Rayleigh-Bénard problem: expansion in Fourier modes 6. Lorenz equations:
direct derivation for simple physical configuration Part 3. Discrete
Dynamical Systems 7. Example of a nonlinear oscillator 8. Phase-space
dynamics and fixed points 9. Lorenz model 10. M odel finite-difference
equation: logistic map 11. Liouville's theorem revisited 12. Action-angle
variables revisited 13. Perturbation of periodic Hamiltonian systems 14.
Coupled separable periodic Hamiltonian systems Part 4. Problems References
Index