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Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo-Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(μ)-H1(μ)| Some algebraic inequalities Partial regularity

Control theory. --- Coupled mode theory. --- Differential equations, Partial. --- Differential equations, Parabolic. --- Differential equations, Elliptic. --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial --- Parabolic differential equations --- Parabolic partial differential equations --- Partial differential equations --- Coupled modes, Theory of --- Coupled systems --- Oscillations --- Vibration --- Wave-motion, Theory of --- Dynamics --- Machine theory

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This book suggests a new common approach to the study of resonance energy transport based on the recently developed concept of Limiting Phase Trajectories (LPTs), presenting  applications of the approach to significant nonlinear problems from different fields of physics and mechanics. In order to highlight the novelty and perspectives of the developed approach, it places the LPT concept in the context of dynamical phenomena related to the energy transfer problems and applies the theory to numerous problems of practical importance. This approach leads to the conclusion that strongly nonstationary resonance processes in nonlinear oscillator arrays and nanostructures are characterized either by maximum possible energy exchange between the clusters of oscillators (coherence domains) or by maximum energy transfer from an external source of energy to the chain. The trajectories corresponding to these processes are referred to as LPTs. The development and the use of the LPTs concept are motivated by the fact that non-stationary processes in a broad variety of finite-dimensional physical models are beyond the well-known paradigm of nonlinear normal modes (NNMs), which is fully justified either for stationary processes or for nonstationary non-resonance processes described exactly or approximately by the combinations of the non-resonant normal modes. Thus, the role of LPTs in understanding and analyzing of intense resonance energy transfer is similar to the role of NNMs for the stationary processes. The book is a valuable resource for engineers needing to deal effectively with the problems arising in the fields of mechanical and physical applications, when the natural physical model is quite complicated. At the same time, the mathematical analysis means that it is of interest to researchers working on the theory and numerical investigation of nonlinear oscillations.

Engineering. --- Solid state physics. --- Thermodynamics. --- Heat engineering. --- Heat transfer. --- Mass transfer. --- Vibration. --- Dynamical systems. --- Dynamics. --- Nanotechnology. --- Vibration, Dynamical Systems, Control. --- Solid State Physics. --- Engineering Thermodynamics, Heat and Mass Transfer. --- Energy transfer. --- Coupled mode theory. --- Coupled modes, Theory of --- Coupled systems --- Oscillations --- Vibration --- Wave-motion, Theory of --- Energy storage --- Force and energy --- Transport theory --- Construction --- Industrial arts --- Technology --- Molecular technology --- Nanoscale technology --- High technology --- Cycles --- Mechanics --- Sound --- Mass transport (Physics) --- Thermodynamics --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Heat --- Mechanical engineering --- Chemistry, Physical and theoretical --- Dynamics --- Physics --- Heat-engines --- Quantum theory --- Solids --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Statics

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This book is a collection of papers that originated as a Special Issue, focused on some recent advances related to fiber Bragg grating-based sensors and systems. Conventionally, this book can be divided into three parts: intelligent systems, new types of sensors, and original interrogators. The intelligent systems presented include evaluation of strain transition properties between cast-in FBGs and cast aluminum during uniaxial straining, multi-point strain measurements on a containment vessel, damage detection methods based on long-gauge FBG for highway bridges, evaluation of a coupled sequential approach for rotorcraft landing simulation, wearable hand modules and real-time tracking algorithms for measuring finger joint angles of different hand sizes, and glaze icing detection of 110 kV composite insulators. New types of sensors are reflected in multi-addressed fiber Bragg structures for microwave–photonic sensor systems, its applications in load-sensing wheel hub bearings, and more complex influence in problems of generation of vortex optical beams based on chiral fiber-optic periodic structures. Original interrogators include research in optical designs with curved detectors for FBG interrogation monitors; demonstration of a filterless, multi-point, and temperature-independent FBG dynamical demodulator using pulse-width modulation; and dual wavelength differential detection of FBG sensors with a pulsed DFB laser.

Research & information: general --- Fiber Bragg Grating (FBG) --- composite insulator with embedded FBGs --- glaze icing --- icing detection --- fiber Bragg grating strain sensor --- algorithm --- hand motion capture --- real-time tracking --- fiber Bragg gratings --- landing simulation --- rotorcraft --- coupled sequential method --- landing structural response --- finite element analysis (FEA) --- microwave-photonic sensor systems --- Fiber Bragg Gratings --- Addressed Fiber Bragg Structures --- Multi-Addressed Fiber Bragg Structures --- long-gauge FBG --- damage detection --- highway bridges --- vehicle–bridge interaction --- comparative study --- fiber Bragg grating --- fiber optic sensor --- dynamic chirp --- DFB laser --- chiral structures --- orbital angular momentum --- apodization --- chirp --- coupled modes theory --- FBG --- PWM --- engine --- high temperature --- ECU --- FBG demodulator --- fiber sensing --- high-speed interrogation --- dynamic strain --- microwave photonic sensor system --- numerical simulation --- addressed fiber Bragg structures --- load-sensing bearings --- vehicle dynamics control --- Fibre Bragg Gratings --- neutron diffraction --- X-ray tomography --- tensile test --- fiber Bragg grating sensors --- spectrograph --- high angular dispersion --- curved detectors --- freeform optics

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• Reference Manager
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This book is a collection of papers that originated as a Special Issue, focused on some recent advances related to fiber Bragg grating-based sensors and systems. Conventionally, this book can be divided into three parts: intelligent systems, new types of sensors, and original interrogators. The intelligent systems presented include evaluation of strain transition properties between cast-in FBGs and cast aluminum during uniaxial straining, multi-point strain measurements on a containment vessel, damage detection methods based on long-gauge FBG for highway bridges, evaluation of a coupled sequential approach for rotorcraft landing simulation, wearable hand modules and real-time tracking algorithms for measuring finger joint angles of different hand sizes, and glaze icing detection of 110 kV composite insulators. New types of sensors are reflected in multi-addressed fiber Bragg structures for microwave–photonic sensor systems, its applications in load-sensing wheel hub bearings, and more complex influence in problems of generation of vortex optical beams based on chiral fiber-optic periodic structures. Original interrogators include research in optical designs with curved detectors for FBG interrogation monitors; demonstration of a filterless, multi-point, and temperature-independent FBG dynamical demodulator using pulse-width modulation; and dual wavelength differential detection of FBG sensors with a pulsed DFB laser.

Fiber Bragg Grating (FBG) --- composite insulator with embedded FBGs --- glaze icing --- icing detection --- fiber Bragg grating strain sensor --- algorithm --- hand motion capture --- real-time tracking --- fiber Bragg gratings --- landing simulation --- rotorcraft --- coupled sequential method --- landing structural response --- finite element analysis (FEA) --- microwave-photonic sensor systems --- Fiber Bragg Gratings --- Addressed Fiber Bragg Structures --- Multi-Addressed Fiber Bragg Structures --- long-gauge FBG --- damage detection --- highway bridges --- vehicle–bridge interaction --- comparative study --- fiber Bragg grating --- fiber optic sensor --- dynamic chirp --- DFB laser --- chiral structures --- orbital angular momentum --- apodization --- chirp --- coupled modes theory --- FBG --- PWM --- engine --- high temperature --- ECU --- FBG demodulator --- fiber sensing --- high-speed interrogation --- dynamic strain --- microwave photonic sensor system --- numerical simulation --- addressed fiber Bragg structures --- load-sensing bearings --- vehicle dynamics control --- Fibre Bragg Gratings --- neutron diffraction --- X-ray tomography --- tensile test --- fiber Bragg grating sensors --- spectrograph --- high angular dispersion --- curved detectors --- freeform optics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book is a collection of papers that originated as a Special Issue, focused on some recent advances related to fiber Bragg grating-based sensors and systems. Conventionally, this book can be divided into three parts: intelligent systems, new types of sensors, and original interrogators. The intelligent systems presented include evaluation of strain transition properties between cast-in FBGs and cast aluminum during uniaxial straining, multi-point strain measurements on a containment vessel, damage detection methods based on long-gauge FBG for highway bridges, evaluation of a coupled sequential approach for rotorcraft landing simulation, wearable hand modules and real-time tracking algorithms for measuring finger joint angles of different hand sizes, and glaze icing detection of 110 kV composite insulators. New types of sensors are reflected in multi-addressed fiber Bragg structures for microwave–photonic sensor systems, its applications in load-sensing wheel hub bearings, and more complex influence in problems of generation of vortex optical beams based on chiral fiber-optic periodic structures. Original interrogators include research in optical designs with curved detectors for FBG interrogation monitors; demonstration of a filterless, multi-point, and temperature-independent FBG dynamical demodulator using pulse-width modulation; and dual wavelength differential detection of FBG sensors with a pulsed DFB laser.

Research & information: general --- Fiber Bragg Grating (FBG) --- composite insulator with embedded FBGs --- glaze icing --- icing detection --- fiber Bragg grating strain sensor --- algorithm --- hand motion capture --- real-time tracking --- fiber Bragg gratings --- landing simulation --- rotorcraft --- coupled sequential method --- landing structural response --- finite element analysis (FEA) --- microwave-photonic sensor systems --- Fiber Bragg Gratings --- Addressed Fiber Bragg Structures --- Multi-Addressed Fiber Bragg Structures --- long-gauge FBG --- damage detection --- highway bridges --- vehicle–bridge interaction --- comparative study --- fiber Bragg grating --- fiber optic sensor --- dynamic chirp --- DFB laser --- chiral structures --- orbital angular momentum --- apodization --- chirp --- coupled modes theory --- FBG --- PWM --- engine --- high temperature --- ECU --- FBG demodulator --- fiber sensing --- high-speed interrogation --- dynamic strain --- microwave photonic sensor system --- numerical simulation --- addressed fiber Bragg structures --- load-sensing bearings --- vehicle dynamics control --- Fibre Bragg Gratings --- neutron diffraction --- X-ray tomography --- tensile test --- fiber Bragg grating sensors --- spectrograph --- high angular dispersion --- curved detectors --- freeform optics --- Fiber Bragg Grating (FBG) --- composite insulator with embedded FBGs --- glaze icing --- icing detection --- fiber Bragg grating strain sensor --- algorithm --- hand motion capture --- real-time tracking --- fiber Bragg gratings --- landing simulation --- rotorcraft --- coupled sequential method --- landing structural response --- finite element analysis (FEA) --- microwave-photonic sensor systems --- Fiber Bragg Gratings --- Addressed Fiber Bragg Structures --- Multi-Addressed Fiber Bragg Structures --- long-gauge FBG --- damage detection --- highway bridges --- vehicle–bridge interaction --- comparative study --- fiber Bragg grating --- fiber optic sensor --- dynamic chirp --- DFB laser --- chiral structures --- orbital angular momentum --- apodization --- chirp --- coupled modes theory --- FBG --- PWM --- engine --- high temperature --- ECU --- FBG demodulator --- fiber sensing --- high-speed interrogation --- dynamic strain --- microwave photonic sensor system --- numerical simulation --- addressed fiber Bragg structures --- load-sensing bearings --- vehicle dynamics control --- Fibre Bragg Gratings --- neutron diffraction --- X-ray tomography --- tensile test --- fiber Bragg grating sensors --- spectrograph --- high angular dispersion --- curved detectors --- freeform optics