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001469681 001__ 1469681
001469681 003__ OCoLC
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001469681 019__ $$a1382696945
001469681 020__ $$a9783031295799$$q(electronic bk.)
001469681 020__ $$a303129579X$$q(electronic bk.)
001469681 020__ $$z9783031295782
001469681 020__ $$z3031295781
001469681 0247_ $$a10.1007/978-3-031-29579-9$$2doi
001469681 035__ $$aSP(OCoLC)1382524736
001469681 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCF
001469681 049__ $$aISEA
001469681 050_4 $$aQ172.5.C45
001469681 08204 $$a500.201/185$$223/eng/20230622
001469681 1001_ $$aPismen, Len M.,$$eauthor.
001469681 24510 $$aPatterns and interfaces in dissipative dynamics :$$brevised and extended, now also covering patterns of active matter /$$cLen Pismen.
001469681 250__ $$aSecond edition.
001469681 264_1 $$aCham :$$bSpringer,$$c[2023]
001469681 264_4 $$c©2023
001469681 300__ $$a1 online resource (xvii, 386 pages) :$$billustrations (some color).
001469681 336__ $$atext$$btxt$$2rdacontent
001469681 337__ $$acomputer$$bc$$2rdamedia
001469681 338__ $$aonline resource$$bcr$$2rdacarrier
001469681 4901_ $$aSpringer series in synergetics
001469681 504__ $$aIncludes bibliographical references and index.
001469681 5050_ $$aIntro -- Foreword -- Preface to the First Edition -- Preface to the Second Edition -- Contents -- Introduction -- Quest for Complexity -- Field Variables -- Conservative Systems -- Dissipative Systems -- Historical and Bibliographical Notes -- 1 Genesis of Patterns -- 1.1 Basic Models -- 1.1.1 Representative Models of Open Systems -- 1.1.2 Spectral Decompositions -- 1.1.3 Linear Analysis -- 1.1.4 Evolution of Perturbations -- 1.1.5 Multiscale Expansion -- 1.2 Reaction-Diffusion Systems -- 1.2.1 General Structure of RDS -- 1.2.2 Examples of RDS -- 1.2.3 Bifurcation of Stationary States
001469681 5058_ $$a1.2.4 Global Bifurcations -- 1.3 Space-Dependent Amplitude Equations -- 1.3.1 Turing Instability -- 1.3.2 Wave Instability -- 1.3.3 Derivation of Amplitude Equations -- 1.3.4 Anisotropy of Long-Scale Spatial Dependence -- 1.4 Convective Systems -- 1.4.1 Convection Driven by Heat or Mass Transfer -- 1.4.2 Convection Driven by Buoyancy -- 1.4.3 Convection Driven by Marangoni Flow -- 1.5 Dynamics of Planforms -- 1.5.1 Interaction of Degenerate Modes -- 1.5.2 Resonant Interactions -- 1.5.3 Stripes-Hexagons Competition -- 1.5.4 Wave-Turing Resonance -- 1.5.5 Resonant StandingWaves
001469681 5058_ $$a1.6 Conserved Systems -- 1.6.1 Nonlocal and Local Description -- 1.6.2 Phase Separation -- 1.6.3 Symmetry Breaking in Conserved Systems -- 1.6.4 Partially Conserved Systems -- 2 Fronts between Uniform States -- 2.1 Planar Fronts -- 2.1.1 Advance into a Metastable State -- 2.1.2 Computation of the Propagation Speed -- 2.1.3 Nonmonotonic Solutions -- 2.1.4 Propagation into an Unstable State -- 2.1.5 Stability of the Leading Edge -- 2.1.6 Pulled and Pushed Fronts -- 2.2 Weakly Curved Fronts -- 2.2.1 Aligned Coordinate Frame -- 2.2.2 Expansion Near the Maxwell Construction -- 2.2.3 Burgers Equation
001469681 5058_ $$a2.2.4 Ripening under Global Control -- 2.3 Fronts in Conserved Systems -- 2.3.1 Inner and Outer Equations -- 2.3.2 Solvability Condition and Matching -- 2.3.3 Propagation and Coarsening in 1D -- 2.3.4 Ostwald Ripening -- 2.3.5 Phase Field Model -- 2.4 Instabilities of Interphase Boundaries -- 2.4.1 Instabilities due to Coupling to Control Field -- 2.4.2 Mullins-Sekerka Instability -- 2.4.3 Instability of a Curved Interface -- 2.4.4 Directional Solidification -- 2.4.5 Long-Scale Instability -- 3 Structures with Sharp Interfaces -- 3.1 Rectilinear Structures -- 3.1.1 Basic Model and Scaling
001469681 5058_ $$a3.1.2 Stationary Fronts -- 3.1.3 Propagating Fronts -- 3.1.4 Stationary Bands -- 3.1.5 Migration-Enhanced Structures -- 3.1.6 Propagating Bands -- 3.2 Curvilinear Structures -- 3.2.1 Solitary Disk and Sphere -- 3.2.2 Splitting and Bending Instabilities -- 3.2.3 Traveling and Oscillatory Instabilities -- 3.2.4 Quasistationary Dynamics -- 3.2.5 Phenomenological Velocity-Curvature Relation -- 3.2.6 Long-Scale Evolution Equations -- 3.3 Locally Induced Motion -- 3.3.1 Intrinsic Equations of Motion -- 3.3.2 Steadily Rotating Spiral -- 3.3.3 Propagation into a Quiescent State
001469681 506__ $$aAccess limited to authorized users.
001469681 520__ $$aSpontaneous pattern formation in nonlinear dissipative systems far from equilibrium is a paradigmatic case of emergent behaviour associated with complex systems. It is encountered in a great variety of settings, both in nature and technology, and has numerous applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book is a first-hand account by one of the leading players in this field, which gives in-depth descriptions of analytical methods elucidating the complex evolution of nonlinear dissipative systems, and brings the reader to the forefront of current research. Since the publication of the first edition, applications of the theory of nonlinear dynamics have been substantially extended to the novel area of active systems, largely motivated by problems of biophysics and biomorphic technology. These problems typically involve media with internal orientation. This new edition incorporates a chapter discussing dynamics of liquids and soft solids with internal orientation, including special features of their instabilities and motion of topological defects, which form the background for various applications to the motion of cells, tissues, and activated soft materials. The contents of the first edition have also been substantially reworked, improving graphics, emphasizing more complex secondary instabilities, and dropping some material pertaining to dynamical systems. This book caters for graduate students and young researchers from many pertinent areas including applied mathematics, physical chemistry, chemical engineering and biophysics, as well as the seasoned scientist in search of a modern source of reference.
001469681 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 22, 2023).
001469681 650_0 $$aPattern formation (Physical sciences)
001469681 650_0 $$aWave-motion, Theory of.
001469681 650_0 $$aOpen systems (Physics)
001469681 650_0 $$aDynamics.
001469681 655_0 $$aElectronic books.
001469681 77608 $$iPrint version: $$z3031295781$$z9783031295782$$w(OCoLC)1371138702
001469681 830_0 $$aSpringer series in synergetics.
001469681 852__ $$bebk
001469681 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-29579-9$$zOnline Access$$91397441.1
001469681 909CO $$ooai:library.usi.edu:1469681$$pGLOBAL_SET
001469681 980__ $$aBIB
001469681 980__ $$aEBOOK
001469681 982__ $$aEbook
001469681 983__ $$aOnline
001469681 994__ $$a92$$bISE