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Soil mechanics. --- Stability. --- Bearing
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Stability. --- Cyclic loads --- Ductility --- Steel structures
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Ordinary differential equations --- Differential equations --- Stability. --- Asymptotic theory.
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Classical mechanics. Field theory --- Stability. --- Histoire des mathematiques --- 19e siecle
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Model theory --- Modeles [Theorie des ] --- Modellentheorie --- Stabiliteit --- Stability --- Stabilité --- Mathematics
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"Landslides have geological causes but can be triggered by natural processes (rainfall, snowmelt, erosion and earthquakes) or by human actions such as agriculture and construction. Research aimed at better understanding slope stability and failure has accelerated in recent years, accompanied by basic field research and numerical modeling of slope failure processes, mechanisms of debris movement, and landslide causes and triggers. Written by 75 world-leading researchers and practitioners, this book provides a state-of-the-art summary of landslide science. It features both field geology and engineering approaches, as well as modeling of slope failure and run-out using a variety of numerical codes. It is illustrated with international case studies integrating geological, geotechnical and remote sensing studies and includes recent slope investigations in North America, Europe and Asia. This is an essential reference for researchers and graduate students in geomorphology, engineering geology, geotechnical engineering and geophysics, as well as professionals in natural hazard analysis"
Landslide hazard analysis. --- Slopes (Soil mechanics) --- Landslides --- Stability. --- Mathematical models. --- Soil mechanics --- Land slides --- Landsliding --- Landslips --- Slides (Landslides) --- Mass-wasting --- Slope stability (Soil mechanics) --- Stability --- Soil stabilization --- Hazard analysis, Landslide --- Landslide hazard assessment --- Hazard assessment
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Main theme of this volume is the stability of nonautonomous differential equations, with emphasis on the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, the construction and regularity of topological conjugacies, the study of center manifolds, as well as their reversibility and equivariance properties. Most results are obtained in the infinite-dimensional setting of Banach spaces. Furthermore, the linear variational equations are always assumed to possess a nonuniform exponential behavior, given either by the existence of a nonuniform exponential contraction or a nonuniform exponential dichotomy. The presentation is self-contained and has unified character. The volume contributes towards a rigorous mathematical foundation of the theory in the infinite-dimension setting, and may lead to further developments in the field. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.
Lyapunov stability --- Differential equations --- Calculus --- Applied Mathematics --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Lyapunov stability. --- Differential equations. --- 517.91 Differential equations --- Liapunov stability --- Ljapunov stability --- Mathematics. --- Dynamics. --- Ergodic theory. --- Ordinary Differential Equations. --- Dynamical Systems and Ergodic Theory. --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Math --- Science --- Control theory --- Stability --- Differential Equations. --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics
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Research into the stability of matter has been one of the most successful chapters in mathematical physics, and is a prime example of how modern mathematics can be applied to problems in physics. A unique account of the subject, this book provides a complete, self-contained description of research on the stability of matter problem. It introduces the necessary quantum mechanics to mathematicians, and aspects of functional analysis to physicists. The topics covered include electrodynamics of classical and quantized fields, Lieb-Thirring and other inequalities in spectral theory, inequalities in electrostatics, stability of large Coulomb systems, gravitational stability of stars, basics of equilibrium statistical mechanics, and the existence of the thermodynamic limit. The book is an up-to-date account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics.
Thomas-Fermi theory --- Quantum theory --- Matter --- Structural stability --- Properties --- Thomas-Fermi theory. --- Quantum theory. --- Structural stability. --- Stability of structures --- Structures, Stability of --- Stability --- Safety factor in engineering --- Structural failures --- Physical properties of matter --- Properties of matter --- Mechanics --- Diffusion --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Thermodynamics --- Fermi-Thomas model --- Fermi-Thomas theory --- Thomas-Fermi atom model --- Thomas-Fermi-Dirac method --- Thomas-Fermi-Dirac model --- Thomas-Fermi method --- Thomas-Fermi model --- Atomic structure --- Nuclear models --- Properties. --- Matter - Properties
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Model theory --- Stability --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Dynamics --- Mechanics --- Motion --- Vibration --- Benjamin-Feir instability --- Equilibrium --- Logic, Symbolic and mathematical --- Model theory. --- Stability. --- Théorie des modèles --- Stabilité
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