Variational Principles and Free-boundary Problems

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Publisher :
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Variational Principles and Free-boundary Problems by : Avner Friedman

Download or read book Variational Principles and Free-boundary Problems written by Avner Friedman and published by . This book was released on 1988 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced graduate-level text examines variational methods in partial differential equations and illustrates their applications to a number of free-boundary problems. Detailed statements of the standard theory of elliptic and parabolic operators make this treatment readable for engineers, students, and nonspecialists alike. The text's first two chapters can be used for a single-semester graduate course in variational inequalities or partial differential equations. The succeeding chapters -- covering jets and cavities, variational problems with potentials, and free-boundary problems not in variational form -- are more specialized and self-contained. Readers who have mastered chapters 1 and 2 will be able to conduct research on the problems explored in subsequent chapters. Bibliographic remarks conclude each chapter, along with several problems and exercises.

Variational Principles and Free-boundary Problems

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Publisher :
ISBN 13 :
Total Pages : 710 pages
Book Rating : 4.:/5 (932 download)

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Book Synopsis Variational Principles and Free-boundary Problems by :

Download or read book Variational Principles and Free-boundary Problems written by and published by . This book was released on 1988 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational and Free Boundary Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461383579
Total Pages : 210 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Variational and Free Boundary Problems by : Avner Friedman

Download or read book Variational and Free Boundary Problems written by Avner Friedman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications VARIATIONAL AND FREE BOUNDARY PROBLEMS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries. " The aim of the workshop was to highlight new methods, directions and problems in variational and free boundary theory, with a concentration on novel applications of variational methods to applied problems. We thank R. Fosdick, M. E. Gurtin, W. -M. Ni and L. A. Peletier for organizing the year-long program and, especially, J. Sprock for co-organizing the meeting and co-editing these proceedings. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. Avner Friedman Willard Miller, Jr. PREFACE In a free boundary one seeks to find a solution u to a partial differential equation in a domain, a part r of its boundary of which is unknown. Thus both u and r must be determined. In addition to the standard boundary conditions on the un known domain, an additional condition must be prescribed on the free boundary. A classical example is the Stefan problem of melting of ice; here the temperature sat isfies the heat equation in the water region, and yet this region itself (or rather the ice-water interface) is unknown and must be determined together with the tempera ture within the water. Some free boundary problems lend themselves to variational formulation.

Variational and Free Boundary Problems

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Publisher : Springer
ISBN 13 : 9780387941110
Total Pages : 204 pages
Book Rating : 4.9/5 (411 download)

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Book Synopsis Variational and Free Boundary Problems by : Avner Friedman

Download or read book Variational and Free Boundary Problems written by Avner Friedman and published by Springer. This book was released on 1993-10-22 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications VARIATIONAL AND FREE BOUNDARY PROBLEMS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries. " The aim of the workshop was to highlight new methods, directions and problems in variational and free boundary theory, with a concentration on novel applications of variational methods to applied problems. We thank R. Fosdick, M. E. Gurtin, W. -M. Ni and L. A. Peletier for organizing the year-long program and, especially, J. Sprock for co-organizing the meeting and co-editing these proceedings. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. Avner Friedman Willard Miller, Jr. PREFACE In a free boundary one seeks to find a solution u to a partial differential equation in a domain, a part r of its boundary of which is unknown. Thus both u and r must be determined. In addition to the standard boundary conditions on the un known domain, an additional condition must be prescribed on the free boundary. A classical example is the Stefan problem of melting of ice; here the temperature sat isfies the heat equation in the water region, and yet this region itself (or rather the ice-water interface) is unknown and must be determined together with the tempera ture within the water. Some free boundary problems lend themselves to variational formulation.

Variational Problems with Concentration

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Publisher : Birkhäuser
ISBN 13 : 303488687X
Total Pages : 162 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Variational Problems with Concentration by : Martin F. Bach

Download or read book Variational Problems with Concentration written by Martin F. Bach and published by Birkhäuser. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.

Complementary Variational Principles

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Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Complementary Variational Principles by : A. M. Arthurs

Download or read book Complementary Variational Principles written by A. M. Arthurs and published by Oxford University Press, USA. This book was released on 1980 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Methods for Boundary Value Problems for Systems of Elliptic Equations

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Publisher : Courier Dover Publications
ISBN 13 : 0486160289
Total Pages : 160 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Variational Methods for Boundary Value Problems for Systems of Elliptic Equations by : M. A. Lavrent’ev

Download or read book Variational Methods for Boundary Value Problems for Systems of Elliptic Equations written by M. A. Lavrent’ev and published by Courier Dover Publications. This book was released on 2016-01-14 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famous monograph by a distinguished mathematician presents an innovative approach to classical boundary value problems. The treatment employs the basic scheme first suggested by Hilbert and developed by Tonnelli. 1963 edition.

Variational and Quasivariational Inequalities

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Variational and Quasivariational Inequalities by : C. Baiocchi

Download or read book Variational and Quasivariational Inequalities written by C. Baiocchi and published by John Wiley & Sons. This book was released on 1984 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Free Boundary Problems

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Publisher : Routledge
ISBN 13 : 1351447149
Total Pages : 366 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Free Boundary Problems by : Ioannis Athanasopoulos

Download or read book Free Boundary Problems written by Ioannis Athanasopoulos and published by Routledge. This book was released on 2019-11-11 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Free boundary problems arise in an enormous number of situations in nature and technology. They hold a strategic position in pure and applied sciences and thus have been the focus of considerable research over the last three decades. Free Boundary Problems: Theory and Applications presents the work and results of experts at the forefront of current research in mathematics, material sciences, chemical engineering, biology, and physics. It contains the plenary lectures and contributed papers of the 1997 International Interdisciplinary Congress proceedings held in Crete. The main topics addressed include free boundary problems in fluid and solid mechanics, combustion, the theory of filtration, and glaciology. Contributors also discuss material science modeling, recent mathematical developments, and numerical analysis advances within their presentations of more specific topics, such as singularities of interfaces, cusp cavitation and fracture, capillary fluid dynamics of film coating, dynamics of surface growth, phase transition kinetics, and phase field models. With the implications of free boundary problems so far reaching, it becomes important for researchers from all of these fields to stay abreast of new developments. Free Boundary Problems: Theory and Applications provides the opportunity to do just that, presenting recent advances from more than 50 researchers at the frontiers of science, mathematics, and technology.

Variational Approach to Hyperbolic Free Boundary Problems

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Publisher : Springer Nature
ISBN 13 : 9811967318
Total Pages : 99 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Variational Approach to Hyperbolic Free Boundary Problems by : Seiro Omata

Download or read book Variational Approach to Hyperbolic Free Boundary Problems written by Seiro Omata and published by Springer Nature. This book was released on 2022-11-28 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of hyperbolic free boundary problems possessing variational structure. Such problems can be used to model, among others, oscillatory motion of a droplet on a surface or bouncing of an elastic body against a rigid obstacle. In the case of the droplet, for example, the membrane surrounding the fluid in general forms a positive contact angle with the obstacle, and therefore the second derivative is only a measure at the contact free boundary set. We will show how to derive the mathematical problem for a few physical systems starting from the action functional, discuss the mathematical theory, and introduce methods for its numerical solution. The mathematical theory and numerical methods depart from the classical approaches in that they are based on semi-discretization in time, which facilitates the application of the modern theory of calculus of variations.

Free Boundary Problems

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Publisher : Springer
ISBN 13 : 3319970798
Total Pages : 146 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Free Boundary Problems by : Darya Apushkinskaya

Download or read book Free Boundary Problems written by Darya Apushkinskaya and published by Springer. This book was released on 2018-09-20 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet. The results presented complement those found in existing books in the subject, which mainly treat regularity properties away from the fixed boundary. The topics include optimal regularity, analysis of global solutions, tangential touch of the free and fixed boundaries, as well as Lipschitz- and $C^1$-regularity of the free boundary. Special attention is given to local versions of various monotonicity formulas. The intended audience includes research mathematicians and advanced graduate students interested in problems with free boundaries.

Regularity of Free Boundaries in Obstacle-Type Problems

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Publisher : American Mathematical Soc.
ISBN 13 : 0821887947
Total Pages : 233 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Regularity of Free Boundaries in Obstacle-Type Problems by : Arshak Petrosyan

Download or read book Regularity of Free Boundaries in Obstacle-Type Problems written by Arshak Petrosyan and published by American Mathematical Soc.. This book was released on 2012 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The regularity theory of free boundaries flourished during the late 1970s and early 1980s and had a major impact in several areas of mathematics, mathematical physics, and industrial mathematics, as well as in applications. Since then the theory continued to evolve. Numerous new ideas, techniques, and methods have been developed, and challenging new problems in applications have arisen. The main intention of the authors of this book is to give a coherent introduction to the study of the regularity properties of free boundaries for a particular type of problems, known as obstacle-type problems. The emphasis is on the methods developed in the past two decades. The topics include optimal regularity, nondegeneracy, rescalings and blowups, classification of global solutions, several types of monotonicity formulas, Lipschitz, $C^1$, as well as higher regularity of the free boundary, structure of the singular set, touch of the free and fixed boundaries, and more. The book is based on lecture notes for the courses and mini-courses given by the authors at various locations and should be accessible to advanced graduate students and researchers in analysis and partial differential equations.

Free Boundary Problems

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Publisher : CRC Press
ISBN 13 : 9780582256453
Total Pages : 236 pages
Book Rating : 4.2/5 (564 download)

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Book Synopsis Free Boundary Problems by : J I Diaz

Download or read book Free Boundary Problems written by J I Diaz and published by CRC Press. This book was released on 1995-04-04 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research note consists of selected contributions from the 1993 International Conference on "Free Boundary Problems: Theory and Applications." These represent coherent and high-level research in the field of free boundary problems. Topics include mean curvature flows, phase transitions and material sciences, fluid mechanics and combustion problems.

Variational Principles

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Publisher : Courier Corporation
ISBN 13 : 0486438171
Total Pages : 337 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Variational Principles by : B. L. Moiseiwitsch

Download or read book Variational Principles written by B. L. Moiseiwitsch and published by Courier Corporation. This book was released on 2004-11-29 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text's primary objective is to demonstrate the expression of the equations of the various branches of mathematical physics in the succinct and elegant form of variational principles (and thereby illuminate their interrelationship). Its related intentions are to show how variational principles may be employed to determine the discrete eigenvalues for stationary state problems and to illustrate how to find the values of quantities (such as the phase shifts) that arise in the theory of scattering. Chapter-by-chapter treatment consists of analytical dynamics; optics, wave mechanics, and quantum mechanics; field equations; eigenvalue problems; and scattering theory. 1966 edition. Bibliography. Index.

Free Boundary Problems, Theory and Applications

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Publisher : CRC Press
ISBN 13 : 9780582305939
Total Pages : 462 pages
Book Rating : 4.3/5 (59 download)

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Book Synopsis Free Boundary Problems, Theory and Applications by : Marek Niezgodka

Download or read book Free Boundary Problems, Theory and Applications written by Marek Niezgodka and published by CRC Press. This book was released on 1996-11-25 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing various aspects of nonlinear partial differential equations, this volume contains papers and lectures presented at the Congress on Free boundary Problems, Theory and Application held in Zakopane, Poland in 1995. Topics include existence, uniqueness, asymptotic behavior, and regularity of solutions and interfaces.

Weak and Variational Methods for Moving Boundary Problems

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Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Weak and Variational Methods for Moving Boundary Problems by : Charles M. Elliott

Download or read book Weak and Variational Methods for Moving Boundary Problems written by Charles M. Elliott and published by Pitman Publishing. This book was released on 1982 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational and Quasivariational Inequalities

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Publisher :
ISBN 13 : 9780783740201
Total Pages : 462 pages
Book Rating : 4.7/5 (42 download)

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Book Synopsis Variational and Quasivariational Inequalities by : Claudio Baiocchi

Download or read book Variational and Quasivariational Inequalities written by Claudio Baiocchi and published by . This book was released on with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: