03909nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500028002840820018003121000035003302450155003652640150005203000028006703360021006983370026007193380032007454900042007775040051008195050258008705060072011285201579012005300037027795380036028165380047028525880054028996500035029536500020029886530019030086530024030276530034030516530017030856530017031026530024031197100064031437760053032078300042032608560065033029781611974584SIAM20161027190106.0m eo d cr bn |||m|||a161020s2017 pau fob 001 0 eng d a 2016038029 a9781611974584qelectronic z9781611974577qprint50aMM21bSIAM a(CaBNVSL)thg00971725 a(OCoLC)961182406 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aTA357.5.U57bB35 2017eb04a620.1/0642231 aBalasuriya, Sanjeeva,eauthor.10aBarriers and transport in unsteady flows :ba Melnikov approach /cSanjeeva Balasuriya, University of Adelaide, Adelaide, South Australia, Australia. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xiv, 264 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMathematical modeling and computation aIncludes bibliographical references and index.0 aPreface -- 1. Unsteady (nonautonomous) flows -- 2. Melnikov theory for stable and unstable manifolds -- 3. Quantifying transport flux across unsteady flow barriers -- 4. Optimizing transport across flow barriers -- 5. Controlling unsteady flow barriers. aRestricted to subscribers or individual electronic text purchasers.3 aFluids that mix at geophysical or microscales tend to form well-mixed areas and regions of coherent blobs. The Antarctic circumpolar vortex, which mostly retains its structure while moving unsteadily in the atmosphere, is an example of a coherent structure. How do such structures exchange fluid with their surroundings? What is the impact on global mixing? What is the "boundary" of the structure, and how does it move? Can these questions be answered from time-varying observational data? This book addresses these issues from the perspective of the differential equations that must be obeyed by fluid particles. In these terms, identification of the boundaries of coherent structures (i.e., "flow barriers"), quantification of transport across them, control of the locations of these barriers, and optimization of transport across them are developed using a rigorous mathematical framework. The concepts are illustrated with an array of theoretical and applied examples that arise from oceanography and microfluidics. Barriers and Transport in Unsteady Flows: A Melnikov Approach provides an extensive introduction and bibliography, specifically elucidating the difficulties arising when flows are unsteady and highlighting relevance in geophysics and microfluidics; careful and rigorous development of the mathematical theory of unsteady flow barriers within the context of nonautonomous stable and unstable manifolds, richly complemented with examples; and chapters on exciting new research in the control of flow barriers and the optimization of transport across them. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aUnsteady flow (Fluid dynamics) 0aFluid dynamics. aUnsteady flows aCoherent structures aStable and unstable manifolds aChaotic flux aFluid mixing aNonautonomous flows2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016035018z9781611974577 0aMathematical modeling and computation403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.9781611974584