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Non-linear models in Mechanics - Instabilities and Turbulence (Paperback)
Loot Price: R2,206
Discovery Miles 22 060
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Non-linear models in Mechanics - Instabilities and Turbulence (Paperback)
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Total price: R2,226
Discovery Miles: 22 260
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Nonlinear phenomena and instabilities arise in all fields of
physics, chemistry, biology, and engineering. The book consists of
six chapters. Chapter 1 contains preliminary topics from analysis:
elements of set theory, measure theory, integration theory,
asymptotic expansions, continued fractions and Pad'e
approximations. Chapters 2 and 3 are devoted to basic and advanced
methods of ODE's and their visualization: attractors, fractals,
bifurcations, chaos, and elements of stability theory. Chapter 4
studies analytical and geometrical aspects of perturbation theory
and contains many examples. Chapter 5 represents the basic
knowledge in turbulence theory and introduces to
Richardson-Kolmogorov concept, deals with bifurcations in
Kuramoto-Sivashinsky equation, and develops multifractal and
hierarchical (shell) models of turbulence. The main hydrodynamic
instabilities (Rayleigh-Taylor, Kelvin-Helmholtz, and
Richtmyer-Meshkov) are studied in Chapter 6. The book contains
theoretical and practical materials, examples and exercises and can
be recommended to students and specialists of mathematics and
physics, chemistry, biology and engineering.
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