LEADER 05272nam 22007215 450 001 9910254575003321 005 20200629200157.0 010 $a3-319-52663-4 024 7 $a10.1007/978-3-319-52663-8 035 $a(CKB)3710000001388671 035 $a(DE-He213)978-3-319-52663-8 035 $a(MiAaPQ)EBC4865048 035 $a(PPN)201472198 035 $a(EXLCZ)993710000001388671 100 $a20170523d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInterfacial Wave Theory of Pattern Formation in Solidification $eDendrites, Fingers, Cells and Free Boundaries /$fby Jian-Jun Xu 205 $a2nd ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XX, 591 p. 168 illus., 69 illus. in color.) 225 1 $aSpringer Series in Synergetics,$x0172-7389 311 $a3-319-52662-6 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Unidirectional Solidification and the Mullins-sekkerka instability -- Mathematical formulation of free dendrite growth from a pure melt -- Basic steady state of axi-symmetric free dendritic growth -- The steady state for dendritic growth with nonzero surface tension -- Global interfacial wave instability of dendrite growth from a pure melt -- Two dimensional dendritic growth -- Three dimensional dendritic growth from undercooled binary mixture -- Viscous fingering in a hele-shaw cell -- Spatially-periodic deep-cellular growth in hele-shaw cell -- Steady lamellar eutectic growth. 330 $aThis comprehensive work explores interfacial instability and pattern formation in dynamic systems away from the equilibrium state in solidification and crystal growth. Further, this significantly expanded 2nd edition introduces and reviews the progress made during the last two decades. In particular, it describes the most prominent pattern formation phenomena commonly observed in material processing and crystal growth in the framework of the previously established interfacial wave theory, including free dendritic growth from undercooled melt, cellular growth and eutectic growth in directional solidification, as well as viscous fingering in Hele-Shaw flow. It elucidates the key problems, systematically derives their mathematical solutions by pursuing a unified, asymptotic approach, and finally carefully examines these results by comparing them with the available experimental results. The asymptotic approach described here will be useful for the investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamical systems. In addition, the results on global stability and selection mechanisms of pattern formation will be of particular interest to researchers working on material processing and crystal growth. The stability mechanisms of a curved front and the pattern formation have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for some time now. This book offers a stimulating and insightful introduction for all physicists, engineers and applied mathematicians working in the fields of soft condensed-matter physics, materials science, mechanical and chemical engineering, fluid dynamics, and nonlinear sciences. 410 0$aSpringer Series in Synergetics,$x0172-7389 606 $aAmorphous substances 606 $aComplex fluids 606 $aChemical engineering 606 $aMaterials?Surfaces 606 $aThin films 606 $aStatistical physics 606 $aFluid mechanics 606 $aSoft and Granular Matter, Complex Fluids and Microfluidics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25021 606 $aIndustrial Chemistry/Chemical Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/C27000 606 $aSurfaces and Interfaces, Thin Films$3https://scigraph.springernature.com/ontologies/product-market-codes/Z19000 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aEngineering Fluid Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15044 615 0$aAmorphous substances. 615 0$aComplex fluids. 615 0$aChemical engineering. 615 0$aMaterials?Surfaces. 615 0$aThin films. 615 0$aStatistical physics. 615 0$aFluid mechanics. 615 14$aSoft and Granular Matter, Complex Fluids and Microfluidics. 615 24$aIndustrial Chemistry/Chemical Engineering. 615 24$aSurfaces and Interfaces, Thin Films. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aEngineering Fluid Dynamics. 676 $a500.201185 700 $aXu$b Jian-Jun$4aut$4http://id.loc.gov/vocabulary/relators/aut$0822941 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254575003321 996 $aInterfacial Wave Theory of Pattern Formation in Solidification$92179922 997 $aUNINA