Igor Gaissinski, Vladimir Rovenski

Non-linear models in Mechanics: Instabilities and Turbulence

Mathematical Methods and Applications

• Broschiertes Buch

Produktbeschreibung

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 andpractical materials, examples and exercises and can be recommended to students and specialists of mathematics and physics, chemistry, biology and engineering.

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Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Seitenzahl: 700
• Erscheinungstermin: 5. November 2010
• Englisch
• Abmessung: 220mm x 150mm x 42mm
• Gewicht: 1059g
• ISBN-13: 9783843366557
• ISBN-10: 3843366551
• Artikelnr.: 32332992

Autorenporträt

Igor Gaissinski, Ph.D, 1980, Senior Scientist, TECHNION, Faculty of Aerospace Engineering, D.Sc., 1989, Physics & Mathematics, Russian Academy of Science (USSR). Vladimir Rovenski, Ph.D, 1985, Professor: Senior Scientist & Lecturer, Haifa University, Mathematical Department, D.Sc., 1994, Physics & Mathematics, Russian Academy of Science.