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Free Boundary Problems In Pdes And Particle Systems
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Book Synopsis Free Boundary Problems in PDEs and Particle Systems by : Gioia Carinci
Download or read book Free Boundary Problems in PDEs and Particle Systems written by Gioia Carinci and published by Springer. This book was released on 2016-06-22 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume a theory for models of transport in the presence of a free boundary is developed.Macroscopic laws of transport are described by PDE's. When the system is open, there are several mechanisms to couple the system with the external forces. Here a class of systems where the interaction with the exterior takes place in correspondence of a free boundary is considered. Both continuous and discrete models sharing the same structure are analysed. In Part I a free boundary problem related to the Stefan Problem is worked out in all details. For this model a new notion of relaxed solution is proposed for which global existence and uniqueness is proven. It is also shown that this is the hydrodynamic limit of the empirical mass density of the associated particle system. In Part II several other models are discussed. The expectation is that the results proved for the basic model extend to these other cases.All the models discussed in this volume have an interest in problems arising in several research fields such as heat conduction, queuing theory, propagation of fire, interface dynamics, population dynamics, evolution of biological systems with selection mechanisms.In general researchers interested in the relations between PDE’s and stochastic processes can find in this volume an extension of this correspondence to modern mathematical physics.
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 372 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.
Author :Isabel Narra Figueiredo Publisher :Springer Science & Business Media ISBN 13 :3764377194 Total Pages :462 pages Book Rating :4.7/5 (643 download)
Book Synopsis Free Boundary Problems by : Isabel Narra Figueiredo
Download or read book Free Boundary Problems written by Isabel Narra Figueiredo and published by Springer Science & Business Media. This book was released on 2007-01-11 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects refereed lectures and communications presented at the Free Boundary Problems Conference (FBP2005). These discuss the mathematics of a broad class of models and problems involving nonlinear partial differential equations arising in physics, engineering, biology and finance. Among other topics, the talks considered free boundary problems in biomedicine, in porous media, in thermodynamic modeling, in fluid mechanics, in image processing, in financial mathematics or in computations for inter-scale problems.
Book Synopsis Free and Moving Boundaries by : Roland Glowinski
Download or read book Free and Moving Boundaries written by Roland Glowinski and published by CRC Press. This book was released on 2007-06-06 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Control discusses moving boundary and boundary control in systems described by partial differential equations (PDEs). With contributions from international experts, the book emphasizes numerical and theoretical control of mo
Book Synopsis Free Boundary Problems by : Antonio Fasano
Download or read book Free Boundary Problems written by Antonio Fasano and published by Pitman Advanced Publishing Program. This book was released on 1983 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 2002 with total page 352 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.
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.
Book Synopsis Free Boundary Problems by : A. Bossavit
Download or read book Free Boundary Problems written by A. Bossavit and published by . This book was released on 1985 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Energy Methods for Free Boundary Problems by : Stanislav Nikolaevich Antont︠s︡ev
Download or read book Energy Methods for Free Boundary Problems written by Stanislav Nikolaevich Antont︠s︡ev and published by Birkhauser. This book was released on 2002 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Free Boundary Problems by : Karl-Heinz Hoffmann
Download or read book Free Boundary Problems written by Karl-Heinz Hoffmann and published by Longman Scientific and Technical. This book was released on 1990 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Geometric Approach to Free Boundary Problems by : Luis A. Caffarelli
Download or read book A Geometric Approach to Free Boundary Problems written by Luis A. Caffarelli and published by American Mathematical Soc.. This book was released on 2005 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: We hope that the tools and ideas presented here will serve as a basis for the study of more complex phenomena and problems."--Jacket.
Download or read book Free boundary problems written by and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Emerging Applications in Free Boundary Problems by : J M Chadam
Download or read book Emerging Applications in Free Boundary Problems written by J M Chadam and published by CRC Press. This book was released on 2020-12-22 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note presents a collection of papers on emerging applications in free boundary problems. The subjects covered include microgravity, chemical and biological reactions, and electromagnetism and electronics.
Book Synopsis Free Boundary Problems by : Pierluigi Colli
Download or read book Free Boundary Problems written by Pierluigi Colli and published by Birkhauser. This book was released on 2004 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "free boundary." A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.
Book Synopsis Free Boundary Problems Involving Solids by : J M Chadam
Download or read book Free Boundary Problems Involving Solids written by J M Chadam and published by CRC Press. This book was released on 1993-02-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes containing the proceedings of the International Colloquium 'Free Boundary Problems: Theory and Applications', held in Montreal from June 13 to June 22, 1990. The main theme of this volume is the concept of free boundary problems associated with solids. The first free boundary problem, the freezing of water - the Stefan problem - is the prototype of solidification problems which form the main part of this volume. The two sections treting this subject cover a large variety of topics and procedures, ranging from a theoretical mathematical treatment of solvability to numerical procedures for practical problems. Some new and interesting problems in solid mechanics are discussed in the first section while in the last section the important new subject of solid-solid-phase transition is examined.
