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The interfacial convection is a widespread phenomenon which has numerous applications. This book describes the basic models of interfacial convection used on different spatial scales. It presents a variety of physical mechanisms and types of instability characteristic for liquid systems with interfaces. The book summarizes results obtained in the field of interfacial convection during a number of decades, including recent developments in exploration of microfluidic convective flows. The book will appeal to researchers and graduate students working in the field of fluid dynamics. It will help readers to master the mathematical approaches which are used for studying convective flows and understand the underlying physical phenomena. This new edition has been updated throughout and contains the significant progress achieved in studying phenomena in ultra-thin films, in systems with phase transitions, multicomponent systems, and nanosuspensions. Reviews of first edition: “In summary, the bulk of this book is excellent…If the authors could expand the content of chapters six and seven to give the same level of coverage as the first five chapters, this would be an even more valuable resource for mathematicians, physicists and engineers working on the stability of thermocapillary flows.” (Journal of Fluid Mechanics, 2007) “This monograph pulls together the large amount of very recent theoretical and experimental works related to interfacial convection in multilayer systems and is a valuable contribution.” (Mathematical Reviews, 2007).

Fluid dynamics. --- Heat -- Convection. --- Interfaces (Physical sciences) -- Mathematics. --- Marangoni effect. --- Heat --- Interfaces (Physical sciences) --- Marangoni effect --- Fluid dynamics --- Mathematics --- Physics --- Physical Sciences & Mathematics --- Calculus --- Thermodynamics --- Convection --- Convection. --- Mathematics. --- Convection, Marangoni --- Flow, Marangoni --- Marangoni convection --- Marangoni flow --- Convection of heat --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Physics. --- Fluids. --- Partial Differential Equations. --- Fluid- and Aerodynamics. --- Theoretical, Mathematical and Computational Physics. --- Applications of Mathematics. --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Engineering --- Engineering analysis --- Mathematical analysis --- Partial differential equations --- Math --- Science --- Fluid mechanics --- Liquid-liquid interfaces --- Differential equations, partial. --- Mathematical physics. --- Physical mathematics

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The impact of Benard's discovery on 20th century physics is crucial to any modern research area such as fluid dynamics, nonlinear dynamics, and non-equilibrium thermodynamics, just to name a few. This centenary review shows the broad scope and development including modern applications, edited and written by experts in the field.

Bénard cells. --- Heat --- Kinetic theory of gases. --- Marangoni effect. --- Nonlinear theories. --- Chaotic behavior in systems. --- Convection. --- Bénard, Henri, --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Nonlinear problems --- Nonlinearity (Mathematics) --- Convection, Marangoni --- Flow, Marangoni --- Marangoni convection --- Marangoni flow --- Gases, Kinetic theory of --- Convection of heat --- Bénard convection --- Bénard convection cells --- Bénard, H. --- Bénard, Henri Claude, --- Statistical Physics, Dynamical Systems and Complexity. --- Classical Continuum Physics. --- Bâenard cells --- Kinetic theory of gases --- Marangoni effect --- Convection --- Physics. --- Continuum physics. --- Statistical physics. --- Dynamical systems. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Classical field theory --- Continuum physics --- Continuum mechanics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Statistical methods --- Differentiable dynamical systems --- Nonlinear theories --- System theory --- Calculus --- Mathematical analysis --- Mathematical physics --- Liquid-liquid interfaces --- Gases --- Molecular theory --- Statistical mechanics --- Rayleigh-Bénard convection --- Complex Systems. --- Classical and Continuum Physics. --- Statistical Physics and Dynamical Systems.