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Nonlinear Pde S In Condensed Matter And Reactive Flows

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Nonlinear Pde S In Condensed Matter And Reactive Flows

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Author : Henri Berestycki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Pde S In Condensed Matter And Reactive Flows written by Henri Berestycki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media.

Advanced Transport Phenomena

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Author : L. Gary Leal
language : en
Publisher: Cambridge University Press
Release Date : 2007-06-18

Advanced Transport Phenomena written by L. Gary Leal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-18 with Technology & Engineering categories.

Advanced Transport Phenomena is ideal as a graduate textbook. It contains a detailed discussion of modern analytic methods for the solution of fluid mechanics and heat and mass transfer problems, focusing on approximations based on scaling and asymptotic methods, beginning with the derivation of basic equations and boundary conditions and concluding with linear stability theory. Also covered are unidirectional flows, lubrication and thin-film theory, creeping flows, boundary layer theory, and convective heat and mass transport at high and low Reynolds numbers. The emphasis is on basic physics, scaling and nondimensionalization, and approximations that can be used to obtain solutions that are due either to geometric simplifications, or large or small values of dimensionless parameters. The author emphasizes setting up problems and extracting as much information as possible short of obtaining detailed solutions of differential equations. The book also focuses on the solutions of representative problems. This reflects the book's goal of teaching readers to think about the solution of transport problems.

Soft Interfaces

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Author : Lydéric Bocquet
language : en
Publisher: Oxford University Press
Release Date : 2017-09-22

Soft Interfaces written by Lydéric Bocquet and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-22 with Science categories.

Many of the distinctive and useful phenomena of soft matter come from its interaction with interfaces. Examples are the peeling of a strip of adhesive tape, the coating of a surface, the curling of a fiber via capillary forces, or the collapse of a porous sponge. These interfacial phenomena are distinct from the intrinsic behavior of a soft material like a gel or a microemulsion. Yet many forms of interfacial phenomena can be understood via common principles valid for many forms of soft matter. Our goal in organizing this school was to give students a grasp of these common principles and their many ramifications and possibilities. The Les Houches Summer School comprised over fifty 90-minute lectures over four weeks. Four four-lecture courses by Howard Stone, Michael Cates, David Nelson and L. Mahadevan served as an anchor for the program. A number of shorter courses and seminars rounded out the school. This volume collects the lecture notes of the school.

Combustion Waves And Fronts In Flows

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Author : Paul Clavin
language : en
Publisher: Cambridge University Press
Release Date : 2016-07-28

Combustion Waves And Fronts In Flows written by Paul Clavin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-28 with Science categories.

A self-contained presentation of the dynamics of nonlinear waves in combustion and other non-equilibrium energetic systems for students and specialists.

Stationary And Time Dependent Gross Pitaevskii Equations

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Author : Wolfgang Pauli Institute. Thematic Program
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Stationary And Time Dependent Gross Pitaevskii Equations written by Wolfgang Pauli Institute. Thematic Program and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

This volume looks at the Gross-Pitaevskii equation, an example of a defocusing nonlinear Schrodinger equation, which is a model for phenomena such as the Bose-Einstein condensation of ultra cold atomic gases, the superfluidity of Helium II, and the 'dark solitons' of nonlinear optics.

Equadiff 2003

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Author : Freddy Dumortier
language : en
Publisher: World Scientific
Release Date : 2005-02-23

Equadiff 2003 written by Freddy Dumortier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-23 with Science categories.

' This comprehensive volume contains the state of the art on ODE's and PDE's of different nature, functional differential equations, delay equations, and others, mostly from the dynamical systems point of view. A broad range of topics are treated through contributions by leading experts of their fields, presenting the most recent developments. A large variety of techniques are being used, stressing geometric, topological, ergodic and numerical aspects. The scope of the book is wide, ranging from pure mathematics to various applied fields. Examples of the latter are provided by subjects from earth and life sciences, classical mechanics and quantum-mechanics, among others. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents: Computational Aspects of Differential Equations and ApplicationsWater WavesTopological and Variational MethodsQualitative Theory of Nonlinear Parabolic and Elliptic EquationsAround Hilbert's 16th ProblemNavier–Stokes Equations and Reaction Diffusion EquationsHyperbolic Dynamics and BeyondSymmetry and MechanicsShock Waves and Conservation LawsNonlinear Elliptic Partial Differential EquationsAlgebraic Aspects and Optimisation in Dynamical SystemsCase Studies in Theoretical Interpretation of Numerical ExperimentsInfinite-Dimensional DynamicsQuasiperiodicityDelay EquationsWave Stability and Pattern FormationNonautonomous DynamicsNormal Forms and Invariant ManifoldsSingular PerturbationsDifferential Geometric Foliations and FlowsHomoclinic and Heteroclinic DynamicsMathematical Aspects of Celestical Mechanics Readership: Graduate students and researchers in mathematics, especially in ODE and PDE areas. Keywords:Differential Equations;Dynamical Systems;ODE;PDE;Delay Equations;Water Waves;Hilbert''s 16th Problem'

Index Of Conference Proceedings

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Author : British Library. Document Supply Centre
language : en
Publisher:
Release Date : 2003

Index Of Conference Proceedings written by British Library. Document Supply Centre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Conference proceedings categories.