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Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.

Hydrodynamics. --- Stability. --- Hidrodinàmica --- Estabilitat

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The Journal of Hydrodynamics reflects the research activities in various areas of hydrodynamics related to ocean and ship engineering, environmental engineering, water conservancy and hydropower engineering, energy exploration, ocean and environmental engineering, and chemical engineering. These cover ship hydrodynamics, wave load and fluid-solid interactions, turbulence and boundary layer, cavitating flow and cavitation mechanics, multi-phase flow, pipe flow and open ditch flow, convection and diffusion, heat and mass transfer, bio-fluid mechanics, permeation fluid mechanics and other frontier disciplines. The journal presents the latest achievements in developing physical models and computational methods, theoretical and experimental studies, software development and test technologies. It offers a platform for exchanging experiences and information, enlivening academic thoughts and promoting the further development of hydrodynamic research and its applications in China and elsewhere.

Hydrodynamics --- Fluid dynamics --- Hydrodynamique --- Hydrodynamics. --- Engineering --- hydrodynamica --- hydrodynamics --- hydraulica --- hydraulics --- waterbouwkunde --- hydraulic engineering --- Hydraulic Engineering --- Waterbouwkunde --- Hidrodinàmica --- Earth Sciences --- Hydrology --- Marine Engineering

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Mecànica de fluids --- Hidromecànica --- Mecànica dels medis continus --- Dinàmica de fluids --- Hidràulica --- Hidrodinàmica --- Fluids --- Fluid mechanics. --- Fluid mechanics --- Data processing. --- Hydromechanics --- Continuum mechanics

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Fluid mechanics. --- Fluid mechanics --- Thermodynamics. --- Mathematical models. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Hydromechanics --- Continuum mechanics --- Mecànica de fluids --- Hidromecànica --- Mecànica dels medis continus --- Dinàmica de fluids --- Hidràulica --- Hidrodinàmica --- Fluids

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This title provides an up-to-date, lively and approachable introduction to the mathematical formalism, numerical techniques and applications of relativistic hydrodynamics. The topic is presented here in a form which will be appreciated both by students and researchers in the field. The book is especially recommended to astrophysicists, particle physicists and applied mathematicians.

Relativistic fluid dynamics. --- Hydrodynamics. --- Fluid dynamics --- Relativistic mechanics --- Relativity (Physics) --- Relativistic fluid dynamics --- Hydrodynamics --- Hidrodinàmica --- Dinàmica de fluids --- Mecànica de fluids --- Aerodinàmica --- Capa límit --- Equacions de Navier-Stokes --- Fluídica --- Fluïdització --- Magnetohidrodinàmica --- Ones de xoc --- Turbulència --- Vòrtexs --- Tixotropia --- Enginyeria hidràulica --- Mecànica --- Mecànica analítica --- Cavitació --- Ones --- Ones de gravetat --- Urodinàmica --- Viscositat