Lectures on Optimal Transport

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Publisher : Springer Nature
ISBN 13 : 3030721620
Total Pages : 250 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Lectures on Optimal Transport by : Luigi Ambrosio

Download or read book Lectures on Optimal Transport written by Luigi Ambrosio and published by Springer Nature. This book was released on 2021-07-22 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability and optimal transport. It originated from the teaching experience of the first author in the Scuola Normale Superiore, where a course on optimal transport and its applications has been given many times during the last 20 years. The topics and the tools were chosen at a sufficiently general and advanced level so that the student or scholar interested in a more specific theme would gain from the book the necessary background to explore it. After a large and detailed introduction to classical theory, more specific attention is devoted to applications to geometric and functional inequalities and to partial differential equations.

Near-equilibrium Transport: Fundamentals And Applications

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814452246
Total Pages : 250 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Near-equilibrium Transport: Fundamentals And Applications by : Mark S Lundstrom

Download or read book Near-equilibrium Transport: Fundamentals And Applications written by Mark S Lundstrom and published by World Scientific Publishing Company. This book was released on 2012-11-29 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures are designed to introduce students to the fundamentals of carrier transport in nano-devices using a novel, “bottom up approach” that agrees with traditional methods when devices are large, but which also works for nano-devices. The goal is to help students learn how to think about carrier transport at the nanoscale and also how the bottom up approach provides a new perspective to traditional concepts like mobility and drift-diffusion equations. The lectures are designed for engineers and scientists and others who need a working knowledge of near-equilibrium (“low-field” or “linear”) transport. Applications of the theory and measurement considerations are also addressed. The lectures serve as a starting point to an extensive set of instructional materials available online.

Thermal Transport in Low Dimensions

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Publisher : Springer
ISBN 13 : 3319292617
Total Pages : 418 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Thermal Transport in Low Dimensions by : Stefano Lepri

Download or read book Thermal Transport in Low Dimensions written by Stefano Lepri and published by Springer. This book was released on 2016-04-07 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding non-equilibrium properties of classical and quantum many-particle systems is one of the goals of contemporary statistical mechanics. Besides its own interest for the theoretical foundations of irreversible thermodynamics(e.g. of the Fourier's law of heat conduction), this topic is also relevant to develop innovative ideas for nanoscale thermal management with possible future applications to nanotechnologies and effective energetic resources. The first part of the volume (Chapters 1-6) describes the basic models, the phenomenology and the various theoretical approaches to understand heat transport in low-dimensional lattices (1D e 2D). The methods described will include equilibrium and nonequilibrium molecular dynamics simulations, hydrodynamic and kinetic approaches and the solution of stochastic models. The second part (Chapters 7-10) deals with applications to nano and microscale heat transfer, as for instance phononic transport in carbon-based nanomaterials, including the prominent case of nanotubes and graphene. Possible future developments on heat flow control and thermoelectric energy conversion will be outlined. This volume aims at being the first step for graduate students and researchers entering the field as well as a reference for the community of scientists that, from different backgrounds (theoretical physics, mathematics, material sciences and engineering), has grown in the recent years around those themes.

The Newman Lectures on Transport Phenomena

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Publisher : CRC Press
ISBN 13 : 1351609637
Total Pages : 314 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis The Newman Lectures on Transport Phenomena by : John Newman

Download or read book The Newman Lectures on Transport Phenomena written by John Newman and published by CRC Press. This book was released on 2020-11-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prof. Newman is considered one of the great chemical engineers of his time. His reputation derives from his mastery of all phases of the subject matter, his clarity of thought, and his ability to reduce complex problems to their essential core elements. He is a member of the National Academy of Engineering, Washington, DC, USA, and has won numerous national awards including every award offered by the Electrochemical Society, USA. His motto, as known by his colleagues, is "do it right the first time." He has been teaching undergraduate and graduate core subject courses at the University of California, Berkeley (UC Berkeley), USA, since joining the faculty in 1966. His method is to write out, in long form, everything he expects to convey to his class on a subject on any given day. He has maintained and updated his lecture notes from notepad to computer throughout his career. This book is an exact reproduction of those notes. This book demonstrates how to solve the classic problems of fluid mechanics, starting with the Navier–Stokes equation. It explains when it is appropriate to simplify a problem by neglecting certain terms through proper dimensional analysis. It covers concepts such as microscopic interpretation of fluxes, multicomponent diffusion, entropy production, nonnewtonian fluids, natural convection, turbulent flow, and hydrodynamic stability. It amply arms any serious problem solver with the tools to address any problem.

Reliability and Statistics in Transportation and Communication

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Publisher : Springer
ISBN 13 : 3030124509
Total Pages : 823 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Reliability and Statistics in Transportation and Communication by : Igor Kabashkin

Download or read book Reliability and Statistics in Transportation and Communication written by Igor Kabashkin and published by Springer. This book was released on 2019-03-09 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on cutting-edge theories and methods for analyzing complex systems, such as transportation and communication networks and discusses multi-disciplinary approaches to dependability problems encountered when dealing with complex systems in practice. The book presents the most noteworthy methods and results discussed at the International Conference on Reliability and Statistics in Transportation and Communication (RelStat), which took place in Riga, Latvia on October 17 – 20, 2018. It spans a broad spectrum of topics, from mathematical models and design methodologies, to software engineering, data security and financial issues, as well as practical problems in technical systems, such as transportation and telecommunications, and in engineering education.

Gradient Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 376438722X
Total Pages : 333 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Gradient Flows by : Luigi Ambrosio

Download or read book Gradient Flows written by Luigi Ambrosio and published by Springer Science & Business Media. This book was released on 2008-10-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.

Optimal Transportation Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 3540693149
Total Pages : 204 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Optimal Transportation Networks by : Marc Bernot

Download or read book Optimal Transportation Networks written by Marc Bernot and published by Springer Science & Business Media. This book was released on 2009 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The transportation problem can be formalized as the problem of finding the optimal way to transport a given measure into another with the same mass. In contrast to the Monge-Kantorovitch problem, recent approaches model the branched structure of such supply networks as minima of an energy functional whose essential feature is to favour wide roads. Such a branched structure is observable in ground transportation networks, in draining and irrigation systems, in electrical power supply systems and in natural counterparts such as blood vessels or the branches of trees. These lectures provide mathematical proof of several existence, structure and regularity properties empirically observed in transportation networks. The link with previous discrete physical models of irrigation and erosion models in geomorphology and with discrete telecommunication and transportation models is discussed. It will be mathematically proven that the majority fit in the simple model sketched in this volume.

The Application of the Chebyshev-Spectral Method in Transport Phenomena

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Publisher : Springer Science & Business Media
ISBN 13 : 3642340881
Total Pages : 238 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis The Application of the Chebyshev-Spectral Method in Transport Phenomena by : Weidong Guo

Download or read book The Application of the Chebyshev-Spectral Method in Transport Phenomena written by Weidong Guo and published by Springer Science & Business Media. This book was released on 2013-01-26 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transport phenomena problems that occur in engineering and physics are often multi-dimensional and multi-phase in character. When taking recourse to numerical methods the spectral method is particularly useful and efficient. The book is meant principally to train students and non-specialists to use the spectral method for solving problems that model fluid flow in closed geometries with heat or mass transfer. To this aim the reader should bring a working knowledge of fluid mechanics and heat transfer and should be readily conversant with simple concepts of linear algebra including spectral decomposition of matrices as well as solvability conditions for inhomogeneous problems. The book is neither meant to supply a ready-to-use program that is all-purpose nor to go through all manners of mathematical proofs. The focus in this tutorial is on the use of the spectral methods for space discretization, because this is where most of the difficulty lies. While time dependent problems are also of great interest, time marching procedures are dealt with by briefly introducing and providing a simple, direct, and efficient method. Many examples are provided in the text as well as numerous exercises for each chapter. Several of the examples are attended by subtle points which the reader will face while working them out. Some of these points are deliberated upon in endnotes to the various chapters, others are touched upon in the book itself.

Transport Management in India

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Publisher : Mittal Publications
ISBN 13 : 9788170993902
Total Pages : 132 pages
Book Rating : 4.9/5 (939 download)

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Book Synopsis Transport Management in India by : Daksh Kumar Kulshrestha

Download or read book Transport Management in India written by Daksh Kumar Kulshrestha and published by Mittal Publications. This book was released on 1993-01-01 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: With reference to U.P. State Road Transport Corporation.

Transport Equations for Semiconductors

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Publisher : Springer Science & Business Media
ISBN 13 : 3540895256
Total Pages : 326 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Transport Equations for Semiconductors by : Ansgar Jüngel

Download or read book Transport Equations for Semiconductors written by Ansgar Jüngel and published by Springer Science & Business Media. This book was released on 2009-03-17 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a systematic and mathematically accurate description and derivation of transport equations in solid state physics, in particular semiconductor devices.

Quantum Transport

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Publisher : Cambridge University Press
ISBN 13 : 1139443240
Total Pages : 434 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Quantum Transport by : Supriyo Datta

Download or read book Quantum Transport written by Supriyo Datta and published by Cambridge University Press. This book was released on 2005-06-16 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the conceptual framework underlying the atomistic theory of matter, emphasizing those aspects that relate to current flow. This includes some of the most advanced concepts of non-equilibrium quantum statistical mechanics. No prior acquaintance with quantum mechanics is assumed. Chapter 1 provides a description of quantum transport in elementary terms accessible to a beginner. The book then works its way from hydrogen to nanostructures, with extensive coverage of current flow. The final chapter summarizes the equations for quantum transport with illustrative examples showing how conductors evolve from the atomic to the ohmic regime as they get larger. Many numerical examples are used to provide concrete illustrations and the corresponding Matlab codes can be downloaded from the web. Videostreamed lectures, keyed to specific sections of the book, are also available through the web. This book is primarily aimed at senior and graduate students.

Multicomponent Transport Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 3540583092
Total Pages : 439 pages
Book Rating : 4.5/5 (45 download)

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Book Synopsis Multicomponent Transport Algorithms by : Alexandre Ern

Download or read book Multicomponent Transport Algorithms written by Alexandre Ern and published by Springer Science & Business Media. This book was released on 1994-08-29 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors made a special effort in presenting the material rigorously and comprehensively, thereby providing a complete source of reference for evaluating multicomponent transport coefficients.

Modelling and Applications of Transport Phenomena in Porous Media

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Publisher : Springer Science & Business Media
ISBN 13 : 9401126321
Total Pages : 394 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Modelling and Applications of Transport Phenomena in Porous Media by : Jacob Bear

Download or read book Modelling and Applications of Transport Phenomena in Porous Media written by Jacob Bear and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transport phenomenain porous media are encounteredin various disciplines, e. g. , civil engineering, chemical engineering, reservoir engineering, agricul tural engineering and soil science. In these disciplines, problems are en countered in which various extensive quantities, e. g. , mass and heat, are transported through a porous material domain. Often, the void space of the porous material contains two or three fluid phases, and the various ex tensive quantities are transported simultaneously through the multiphase system. In all these disciplines, decisions related to a system's development and its operation have to be made. To do so a tool is needed that will pro vide a forecast of the system's response to the implementation of proposed decisions. This response is expressed in the form of spatial and temporal distributions of the state variables that describe the system's behavior. Ex amples of such state variables are pressure, stress, strain, density, velocity, solute concentration, temperature, etc. , for each phase in the system, The tool that enables the required predictions is the model. A model may be defined as a simplified version of the real porous medium system and the transport phenomena that occur in it. Because the model is a sim plified version of the real system, no unique model exists for a given porous medium system. Different sets of simplifying assumptions, each suitable for a particular task, will result in different models.

Topics in Optimal Transportation

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Publisher : American Mathematical Soc.
ISBN 13 : 1470467267
Total Pages : 370 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topics in Optimal Transportation by : Cédric Villani

Download or read book Topics in Optimal Transportation written by Cédric Villani and published by American Mathematical Soc.. This book was released on 2021-08-25 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive introduction to the theory of mass transportation with its many—and sometimes unexpected—applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.

Introductory Transport Phenomena

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Publisher : Wiley Global Education
ISBN 13 : 1118953711
Total Pages : 786 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Introductory Transport Phenomena by : R. Byron Bird

Download or read book Introductory Transport Phenomena written by R. Byron Bird and published by Wiley Global Education. This book was released on 2015-02-13 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Transport Phenomena by R. Byron Bird, Warren E. Stewart, Edwin N. Lightfoot, and Daniel Klingenberg is a new introductory textbook based on the classic Bird, Stewart, Lightfoot text, Transport Phenomena. The authors’ goal in writing this book reflects topics covered in an undergraduate course. Some of the rigorous topics suitable for the advanced students have been retained. The text covers topics such as: the transport of momentum; the transport of energy and the transport of chemical species. The organization of the material is similar to Bird/Stewart/Lightfoot, but presentation has been thoughtfully revised specifically for undergraduate students encountering these concepts for the first time. Devoting more space to mathematical derivations and providing fuller explanations of mathematical developments—including a section of the appendix devoted to mathematical topics—allows students to comprehend transport phenomena concepts at an undergraduate level.

Semiconductor Optics and Transport Phenomena

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Publisher : Springer Science & Business Media
ISBN 13 : 3662046636
Total Pages : 498 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Semiconductor Optics and Transport Phenomena by : Wilfried Schäfer

Download or read book Semiconductor Optics and Transport Phenomena written by Wilfried Schäfer and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well-balanced and up-to-date introduction to the field of semiconductor optics, including transport phenomena in semiconductors. Starting with the theoretical fundamentals of this field the book develops, assuming a basic knowledge of solid-state physics. The application areas of the theory covered include semiconductor lasers, detectors, electro-optic modulators, single-electron transistors, microcavities and double-barrier resonant tunneling diodes. One hundred problems with hints for solution help the readers to deepen their knowledge.

Quantum Transport

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Publisher : Springer Science & Business Media
ISBN 13 : 3540795731
Total Pages : 272 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Quantum Transport by : Gregoire Allaire

Download or read book Quantum Transport written by Gregoire Allaire and published by Springer Science & Business Media. This book was released on 2008-08-13 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, a result of The CIME Summer School held in Cetraro, Italy, in 2006, four leading specialists present different aspects of quantum transport modeling. It provides an excellent basis for researchers in this field.