03781nam 22006135 450 991025430640332120200703034419.01-4939-7590-010.1007/978-1-4939-7590-7(CKB)4100000001381565(DE-He213)978-1-4939-7590-7(MiAaPQ)EBC5191356(PPN)222225602(EXLCZ)99410000000138156520171209d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierLongwave Instabilities and Patterns in Fluids[electronic resource] /by Sergey Shklyaev, Alexander Nepomnyashchy1st ed. 2017.New York, NY :Springer New York :Imprint: Birkhäuser,2017.1 online resource (XVI, 456 p. 65 illus., 18 illus. in color.)Advances in Mathematical Fluid Mechanics,2297-03201-4939-7588-9 Includes bibliographical references at the end of each chapters and index.Introduction -- Convection in Cylindrical Cavities -- Convection in Liquid Layers -- Convection in Binary Liquids. Amplitude Equations for Stationary and Oscillatory Patterns -- Instabilities of Parallel Flows -- Instabilities of Fronts -- Longwave Modulations of Shortwave Patterns -- Control of Longwave Instabilities -- Outlook -- A. Solvability Conditions for an Inhomogenous Linear Boundary Value Problem -- B. Types of Bifurcations -- C. Stationary Pattern Selection -- D. Regular Wave Patterns -- E. Resonant Perturbations.This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems. Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout. This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics. .Advances in Mathematical Fluid Mechanics,2297-0320Mathematical physicsFluidsFluid mechanicsMathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Fluid- and Aerodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21026Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Engineering Fluid Dynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15044Mathematical physics.Fluids.Fluid mechanics.Mathematical Applications in the Physical Sciences.Fluid- and Aerodynamics.Mathematical Physics.Engineering Fluid Dynamics.620.1064Shklyaev Sergeyauthttp://id.loc.gov/vocabulary/relators/aut767624Nepomnyashchy Alexanderauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254306403321Longwave Instabilities and Patterns in Fluids2129521UNINA