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101 0 $aeng
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200 10$aLongwave Instabilities and Patterns in Fluids$b[electronic resource] /$fby Sergey Shklyaev, Alexander Nepomnyashchy
205   $a1st ed. 2017.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Birkhäuser,$d2017.
215   $a1 online resource (XVI, 456 p. 65 illus., 18 illus. in color.)
225 1 $aAdvances in Mathematical Fluid Mechanics,$x2297-0320
311   $a1-4939-7588-9 
320   $aIncludes bibliographical references at the end of each chapters and index.
327   $aIntroduction -- 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.
330   $aThis book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems. Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout. This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics. .
410  0$aAdvances in Mathematical Fluid Mechanics,$x2297-0320
606   $aMathematical physics
606   $aFluids
606   $aFluid mechanics
606   $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120
606   $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
606   $aEngineering Fluid Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15044
615  0$aMathematical physics.
615  0$aFluids.
615  0$aFluid mechanics.
615 14$aMathematical Applications in the Physical Sciences.
615 24$aFluid- and Aerodynamics.
615 24$aMathematical Physics.
615 24$aEngineering Fluid Dynamics.
676   $a620.1064
700   $aShklyaev$b Sergey$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767624
702   $aNepomnyashchy$b Alexander$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
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906   $aBOOK
912   $a9910254306403321
996   $aLongwave Instabilities and Patterns in Fluids$92129521
997   $aUNINA