Recent Polar and Glaciological Literature

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Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Recent Polar and Glaciological Literature by :

Download or read book Recent Polar and Glaciological Literature written by and published by . This book was released on 1988 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Stefan Problem

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Publisher : American Mathematical Soc.
ISBN 13 : 1470428504
Total Pages : 429 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Stefan Problem by : L. I. Rubinšteĭn

Download or read book The Stefan Problem written by L. I. Rubinšteĭn and published by American Mathematical Soc.. This book was released on 2000-01-25 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translations of Mathematical Monographs

Fully Nonlinear Elliptic Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821804375
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fully Nonlinear Elliptic Equations by : Luis A. Caffarelli

Download or read book Fully Nonlinear Elliptic Equations written by Luis A. Caffarelli and published by American Mathematical Soc.. This book was released on 1995 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.

Energy Methods for Free Boundary Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200911
Total Pages : 338 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Energy Methods for Free Boundary Problems by : S.N. Antontsev

Download or read book Energy Methods for Free Boundary Problems written by S.N. Antontsev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.

Models of Phase Transitions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461240786
Total Pages : 334 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Models of Phase Transitions by : Augusto Visintin

Download or read book Models of Phase Transitions written by Augusto Visintin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... "What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/:" "Oil CO/lll!, IIOW, Will do not mean to let 011 that you like it?" The brush continued to move. "Likc it? Well, I do not see wlzy I oughtn't to like it. Does a hoy get a chance to whitewash a fence every day?" That put the thing ill a Ilew light. Ben stopped nibhling the apple ... (From Mark Twain's Adventures of Tom Sawyer, Chapter II.) Mathematics can put quantitative phenomena in a new light; in turn applications may provide a vivid support for mathematical concepts. This volume illustrates some aspects of the mathematical treatment of phase transitions, namely, the classical Stefan problem and its generalizations. The in tended reader is a researcher in application-oriented mathematics. An effort has been made to make a part of the book accessible to beginners, as well as physicists and engineers with a mathematical background. Some room has also been devoted to illustrate analytical tools. This volume deals with research I initiated when I was affiliated with the Istituto di Analisi Numerica del C.N.R. in Pavia, and then continued at the Dipartimento di Matematica dell'Universita di Trento. It was typeset by the author in plain TEX

The Method of Weighted Residuals and Variational Principles

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Publisher : SIAM
ISBN 13 : 1611973236
Total Pages : 429 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis The Method of Weighted Residuals and Variational Principles by : Bruce A. Finlayson

Download or read book The Method of Weighted Residuals and Variational Principles written by Bruce A. Finlayson and published by SIAM. This book was released on 2013-12-30 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems. The Method of Weighted Residuals and Variational Principles describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles. The book also illustrates how to use simple methods to find approximate solutions, shows how to use the finite element method for more complex problems, and provides detailed information on error bounds. Problem sets make this book ideal for self-study or as a course text.

Viscous Flow

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Publisher : Cambridge University Press
ISBN 13 : 9780521458818
Total Pages : 130 pages
Book Rating : 4.4/5 (588 download)

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Book Synopsis Viscous Flow by : Hilary Ockendon

Download or read book Viscous Flow written by Hilary Ockendon and published by Cambridge University Press. This book was released on 1995-01-27 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the topics in inviscid fluid dynamics are not only vitally important mechanisms in everyday life but they are also readily observable without any need for instrumentation. It is therefore stimulating when the mathematics that emerges when these phenomena are modelled is novel and suggestive of alternative methodologies. This book provides senior undergraduates who are already familiar with inviscid fluid dynamics with some of the basic facts about the modelling and analysis of viscous flows. It clearly presents the salient physical ideas and the mathematical ramifications with exercises designed to be an integral part of the text. By showing the basic theoretical framework which has developed as a result of the study of viscous flows, the book should be ideal reading for students of applied mathematics who should then be able to delve further into the subject and be well placed to exploit mathematical ideas throughout the whole of applied science.

Thermomechanics of Evolving Phase Boundaries in the Plane

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Publisher : Oxford University Press on Demand
ISBN 13 : 9780198536949
Total Pages : 148 pages
Book Rating : 4.5/5 (369 download)

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Book Synopsis Thermomechanics of Evolving Phase Boundaries in the Plane by : Morton E. Gurtin

Download or read book Thermomechanics of Evolving Phase Boundaries in the Plane written by Morton E. Gurtin and published by Oxford University Press on Demand. This book was released on 1993 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of the very first on the subject of mathematical materials science and presents a view different from that prevalent in the physical literature. Issues foundational in nature are stressed with the emphasis on the interplay between mathematics and physics. It discusses thedynamics of two-phase systems within the framework of modern continuum thermodynamics. Two general theories are considered and the resulting equations exhibit unstable growth patterns. The free boundary problems that form the basis of the subject should be of great interest to mathematicians andphysical scientists.

Variational Principles in Heat Transfer

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Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Variational Principles in Heat Transfer by : Maurice Anthony Biot

Download or read book Variational Principles in Heat Transfer written by Maurice Anthony Biot and published by . This book was released on 1970 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book develops a variational treatment of heat transfer which includes heat conduction and convection. It is intended to provide the foundation of a unified analysis of irreversible processes by methods analogous to those of classical mechanics. This opens the way to a formulation of heat transfer and dissipative phenomena in complex systems by means of Lagrangian-type equations and generalized coordinates. At the same time this approach suggests many approximate procedures and drastic simplifications applicable to the practical solution of a large category of problems in physics and technology. (Author).

Introduction to Shape Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 3642581064
Total Pages : 254 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Introduction to Shape Optimization by : Jan Sokolowski

Download or read book Introduction to Shape Optimization written by Jan Sokolowski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem.

Introduction to Stochastic Calculus Applied to Finance

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Publisher : CRC Press
ISBN 13 : 142000994X
Total Pages : 253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to Stochastic Calculus Applied to Finance by : Damien Lamberton

Download or read book Introduction to Stochastic Calculus Applied to Finance written by Damien Lamberton and published by CRC Press. This book was released on 2011-12-14 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the first edition of this book, the area of mathematical finance has grown rapidly, with financial analysts using more sophisticated mathematical concepts, such as stochastic integration, to describe the behavior of markets and to derive computing methods. Maintaining the lucid style of its popular predecessor, this concise and accessible introduction covers the probabilistic techniques required to understand the most widely used financial models. Along with additional exercises, this edition presents fully updated material on stochastic volatility models and option pricing as well as a new chapter on credit risk modeling. It contains many numerical experiments and real-world examples taken from the authors' own experiences. The book also provides all of the necessary stochastic calculus theory and implements some of the algorithms using SciLab. Key topics covered include martingales, arbitrage, option pricing, and the Black-Scholes model.

The Stefan Problem

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Publisher : Walter de Gruyter
ISBN 13 : 3110846721
Total Pages : 257 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The Stefan Problem by : A.M. Meirmanov

Download or read book The Stefan Problem written by A.M. Meirmanov and published by Walter de Gruyter. This book was released on 2011-05-03 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Absorption

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Publisher : Elsevier
ISBN 13 : 1483292789
Total Pages : 659 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Absorption by : R. Zarzycki

Download or read book Absorption written by R. Zarzycki and published by Elsevier. This book was released on 2013-10-22 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a practical account of the modern theory of calculation of absorbers for binary and multicomponent physical absorption and absorption with simultaneous chemical reaction. The book consists of two parts: the theory of absorption and the calculation of absorbers. Part I covers basic knowledge on diffusion and the theory of mass transfer in binary and multicomponent systems. Significant stress is laid on diffusion theory because this forms the basis for the absorption process. In the next chapters the fundamentals of simultaneous mass transfer and chemical reaction, the theory of the desorption of gases from liquids and the formulation of differential mass balances are discussed. Part II is devoted to the calculation of absorbers and the classification of absorbers. The chapters present calculation methods for the basic types of absorber with a detailed analysis of the calculation methods for packed, plate and bubble columns. The authors illustrate the presented material with a large number of examples, starting with simple ones for binary systems and ending with column calculation for multicomponent systems.

Optimal Control of Variational Inequalities

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Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Optimal Control of Variational Inequalities by : Viorel Barbu

Download or read book Optimal Control of Variational Inequalities written by Viorel Barbu and published by Pitman Advanced Publishing Program. This book was released on 1984 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scaling, Self-similarity, and Intermediate Asymptotics

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Publisher : Cambridge University Press
ISBN 13 : 9780521435222
Total Pages : 412 pages
Book Rating : 4.4/5 (352 download)

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Book Synopsis Scaling, Self-similarity, and Intermediate Asymptotics by : G. I. Barenblatt

Download or read book Scaling, Self-similarity, and Intermediate Asymptotics written by G. I. Barenblatt and published by Cambridge University Press. This book was released on 1996-12-12 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scaling laws reveal the fundamental property of phenomena, namely self-similarity - repeating in time and/or space - which substantially simplifies the mathematical modelling of the phenomena themselves. This book begins from a non-traditional exposition of dimensional analysis, physical similarity theory, and general theory of scaling phenomena, using classical examples to demonstrate that the onset of scaling is not until the influence of initial and/or boundary conditions has disappeared but when the system is still far from equilibrium. Numerous examples from a diverse range of fields, including theoretical biology, fracture mechanics, atmospheric and oceanic phenomena, and flame propagation, are presented for which the ideas of scaling, intermediate asymptotics, self-similarity, and renormalisation were of decisive value in modelling.

Scaling Phenomena in Fluid Mechanics

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Publisher : CUP Archive
ISBN 13 : 9780521469203
Total Pages : 60 pages
Book Rating : 4.4/5 (692 download)

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Book Synopsis Scaling Phenomena in Fluid Mechanics by : G. I. Barenblatt

Download or read book Scaling Phenomena in Fluid Mechanics written by G. I. Barenblatt and published by CUP Archive. This book was released on 1994-12 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the text of the inaugural lecture of Professor G. I. Barenblatt which deals with a study of scaling phenomena in several topics studied by G. I. Taylor throughout his varied career.

Rate Phenomena in Process Metallurgy

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Publisher : New York : Wiley-Interscience
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Rate Phenomena in Process Metallurgy by : Julian Szekely

Download or read book Rate Phenomena in Process Metallurgy written by Julian Szekely and published by New York : Wiley-Interscience. This book was released on 1971 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: