Nonlinear models in Mechanics: Instabilities and Turbulence: Mathematical Methods and Applications,Used

Nonlinear models in Mechanics: Instabilities and Turbulence: Mathematical Methods and Applications,Used

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SKU: DADAX3843366551
Brand: LAP Lambert Academic Publishing
Condition: New
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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 RichardsonKolmogorov concept, deals with bifurcations in KuramotoSivashinsky equation, and develops multifractal and hierarchical (shell) models of turbulence. The main hydrodynamic instabilities (RayleighTaylor, KelvinHelmholtz, and RichtmyerMeshkov) 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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