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This book presents five sets of pedagogical lectures by internationally respected researchers on nonlinear instabilities and the transition to turbulence in hydrodynamics. The book begins with a general introduction to hydrodynamics covering fluid properties, flow measurement, dimensional analysis and turbulence. Chapter two reviews the special characteristics of instabilities in open flows. Chapter three presents mathematical tools for multiscale analysis and asymptotic matching applied to the dynamics of fronts and localized nonlinear states. Chapter four gives a detailed review of pattern forming instabilities. The final chapter provides a detailed and comprehensive introduction to the instability of flames, shocks and detonations. Together, these lectures provide a thought-provoking overview of current research in this important area.
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Elastic shells are pervasive in everyday life. Examples of these thin-walled structures range from automobile hoods to basketballs, veins, arteries and soft drink cans. This book explains shell theory, with numerous examples and applications. As a second edition, it not only brings all the material of the first edition entirely up to date, it also adds two entirely new chapters on general shell theory and general membrane theory. Aerospace, mechanical and civil engineers, as well as applied mathematicians, will find this book a clearly written and thorough information source on shell theory.
Shells (Engineering) --- Elasticity. --- Nonlinear theories.
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Mathematical statistics --- Exponential families (statistics) --- Nonlinear theories
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Mathematical analysis. --- Nonlinear theories. --- Continuum mechanics
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Chaotic behavior in systems. --- Control theory. --- Nonlinear theories. --- Systems engineering.
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Geometry, Riemannian --- Nonlinear theories --- Riemann, Géométrie de --- Théories non linéaires
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Biology --- Geology --- Linguistics --- Nonlinear theories --- Philosophy --- Science --- History. --- History. --- History. --- History. --- History. --- Philosophy --- History.
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Numerical solutions of algebraic equations --- Equations, Simultaneous --- Nonlinear theories --- Numerical analysis --- Analyse numérique --- Data processing. --- Informatique --- Analyse numérique
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