Free Boundary Problems In Pdes And Particle Systems

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Free Boundary Problems in PDEs and Particle Systems

Author : Gioia Carinci
Publisher : Springer
ISBN 13 : 3319333704
Total Pages : 110 pages
Book Rating : 4.3/5 (193 download)

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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 110 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.

Free and Moving Boundaries

Author : Roland Glowinski
Publisher : CRC Press
ISBN 13 : 9781420011159
Total Pages : 472 pages
Book Rating : 4.0/5 (111 download)

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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 472 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 moving boundaries in fluid structure couple systems, arteries, shape stabilization level methods, family of moving geometries, and boundary control. Using numerical analysis, the contributors examine the problems of optimal control theory applied to PDEs arising from continuum mechanics. The book presents several applications to electromagnetic devices, flow, control, computing, images analysis, topological changes, and free boundaries. It specifically focuses on the topics of boundary variation and control, dynamical control of geometry, optimization, free boundary problems, stabilization of structures, controlling fluid-structure devices, electromagnetism 3D, and inverse problems arising in areas such as biomathematics. Free and Moving Boundaries: Analysis, Simulation and Control explains why the boundary control of physical systems can be viewed as a moving boundary control, empowering the future research of select algebraic areas.

From Particle Systems to Partial Differential Equations II

Author : Patrícia Gonçalves
Publisher : Springer
ISBN 13 : 3319166379
Total Pages : 393 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis From Particle Systems to Partial Differential Equations II by : Patrícia Gonçalves

Download or read book From Particle Systems to Partial Differential Equations II written by Patrícia Gonçalves and published by Springer. This book was released on 2015-04-04 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on mathematical problems concerning different applications in physics, engineering, chemistry and biology. It covers topics ranging from interacting particle systems to partial differential equations (PDEs), statistical mechanics and dynamical systems. The purpose of the second meeting on Particle Systems and PDEs was to bring together renowned researchers working actively in the respective fields, to discuss their topics of expertise and to present recent scientific results in both areas. Further, the meeting was intended to present the subject of interacting particle systems, its roots in and impacts on the field of physics and its relation with PDEs to a vast and varied public, including young researchers. The book also includes the notes from two mini-courses presented at the conference, allowing readers who are less familiar with these areas of mathematics to more easily approach them. The contributions will be of interest to mathematicians, theoretical physicists and other researchers interested in interacting particle systems, partial differential equations, statistical mechanics, stochastic processes, kinetic theory, dynamical systems and mathematical modeling aspects.

Free Boundary Problems

Author : Ioannis Athanasopoulos
Publisher : Routledge
ISBN 13 : 1351447130
Total Pages : 372 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 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.

Energy Methods for Free Boundary Problems

Author : S.N. Antontsev
Publisher : Springer Science & Business Media
ISBN 13 : 1461200911
Total Pages : 332 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 332 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.

Free Boundary Problems

Author : Antonio Fasano
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.3/5 (91 download)

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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:

From Particle Systems to Partial Differential Equations

Author : Cédric Bernardin
Publisher : Springer
ISBN 13 : 9783030697860
Total Pages : 400 pages
Book Rating : 4.6/5 (978 download)

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Book Synopsis From Particle Systems to Partial Differential Equations by : Cédric Bernardin

Download or read book From Particle Systems to Partial Differential Equations written by Cédric Bernardin and published by Springer. This book was released on 2022-06-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes the joint proceedings of the International Conference on Particle Systems and PDEs VI, VII and VIII. Particle Systems and PDEs VI was held in Nice, France, in November/December 2017, Particle Systems and PDEs VII was held in Palermo, Italy, in November 2018, and Particle Systems and PDEs VIII was held in Lisbon, Portugal, in December 2019. Most of the papers are dealing with mathematical problems motivated by different applications in physics, engineering, economics, chemistry and biology. They illustrate methods and topics in the study of particle systems and PDEs and their relation. The book is recommended to probabilists, analysts and to those mathematicians in general, whose work focuses on topics in mathematical physics, stochastic processes and differential equations, as well as to those physicists who work in statistical mechanics and kinetic theory.

Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena

Author : Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations
Publisher : American Mathematical Soc.
ISBN 13 : 082184976X
Total Pages : 402 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena by : Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations

Download or read book Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena written by Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations and published by American Mathematical Soc.. This book was released on 2010-10-01 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the state of the art in several directions of research conducted by renowned mathematicians who participated in the research program on Nonlinear Partial Differential Equations at the Centre for Advanced Study at the Norwegian Academy of Science and Letters, Oslo, Norway, during the academic year 2008-09. The main theme of the volume is nonlinear partial differential equations that model a wide variety of wave phenomena. Topics discussed include systems of conservation laws, compressible Navier-Stokes equations, Navier-Stokes-Korteweg type systems in models for phase transitions, nonlinear evolution equations, degenerate/mixed type equations in fluid mechanics and differential geometry, nonlinear dispersive wave equations (Korteweg-de Vries, Camassa-Holm type, etc.), and Poisson interface problems and level set formulations.

Free Boundary Problems

Author : J I Diaz
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.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 1460 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 1460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Free Boundary Problems, Theory and Applications

Author : Marek Niezgodka
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.

Grants and Awards for the Fiscal Year Ended ...

Author : National Science Foundation (U.S.)
Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Grants and Awards for the Fiscal Year Ended ... by : National Science Foundation (U.S.)

Download or read book Grants and Awards for the Fiscal Year Ended ... written by National Science Foundation (U.S.) and published by . This book was released on 1980 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Self-organized Motion

Author : Satoshi Nakata
Publisher : Royal Society of Chemistry
ISBN 13 : 178801166X
Total Pages : 372 pages
Book Rating : 4.7/5 (88 download)

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Book Synopsis Self-organized Motion by : Satoshi Nakata

Download or read book Self-organized Motion written by Satoshi Nakata and published by Royal Society of Chemistry. This book was released on 2018-11-01 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-propelled objects (particles, droplets) are autonomous agents that can convert energy from the environment into motion. These motions include nonlinear behaviour such as oscillations, synchronization, bifurcation, and pattern formation. In recent years, there has been much interest in self-propelled objects for their potential role in mass transport or their use as carriers in confined spaces. An improved understanding of self-organized motion has even allowed researchers to design objects for specific motion. This book gives an overview of the principles of self-propelled motion in chemical objects (particles, droplets) far from their thermodynamic equilibrium, at various spatial scales. Theoretical aspects, the characteristics of the motion and the design procedures of such systems are discussed from the viewpoint of nonlinear dynamics and examples of applications for these nonlinear systems are provided. This book is suitable for researchers and graduate students interested in physical and theoretical chemistry as well as soft matter.

Free Boundary Problems

Author : A. Bossavit
Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.3/5 (121 download)

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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:

Dynamics of Bubbles, Drops and Rigid Particles

Author : Z. Zapryanov
Publisher : Springer Science & Business Media
ISBN 13 : 9401592551
Total Pages : 527 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Dynamics of Bubbles, Drops and Rigid Particles by : Z. Zapryanov

Download or read book Dynamics of Bubbles, Drops and Rigid Particles written by Z. Zapryanov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Objective and Scope Bubbles, drops and rigid particles occur everywhere in life, from valuable industrial operations like gas-liquid contracting, fluidized beds and extraction to such vital natural processes as fermentation, evaporation, and sedimentation. As we become increasingly aware of their fundamental role in industrial and biological systems, we are driven to know more about these fascinating particles. It is no surprise, therefore, that their practical and theoretical implications have aroused great interest among the scientific community and have inspired a growing number of studies and publications. Over the past ten years advances in the field of small Reynolds numbers flows and their technological and biological applications have given rise to several definitive monographs and textbooks in the area. In addition, the past three decades have witnessed enormous progress in describing quantitatively the behaviour of these particles. However, to the best of our knowledge, there are still no available books that reflect such achievements in the areas of bubble and drop deformation, hydrodynamic interactions of deformable fluid particles at low and moderate Reynolds numbers and hydrodynamic interactions of particles in oscillatory flows. Indeed, only one more book is dedicated entirely to the behaviour of bubbles, drops and rigid particles ["Bubbles, Drops and Particles" by Clift et al. (1978)] and the authors state its limitations clearly in the preface: "We treat only phenomena in which particle-particle interactions are of negligible importance. Hence, direct application of the book is limited to single-particle systems of dilute suspensions.

Free Boundary Problems Involving Solids

Author : J M Chadam
Publisher : CRC Press
ISBN 13 : 9780582087675
Total Pages : 264 pages
Book Rating : 4.0/5 (876 download)

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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.

Asymptotic Analysis and Singularities: Elliptic and parabolic PDEs and related problems

Author : Hideo Kozono
Publisher :
ISBN 13 : 9784931469419
Total Pages : 432 pages
Book Rating : 4.4/5 (694 download)

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Book Synopsis Asymptotic Analysis and Singularities: Elliptic and parabolic PDEs and related problems by : Hideo Kozono

Download or read book Asymptotic Analysis and Singularities: Elliptic and parabolic PDEs and related problems written by Hideo Kozono and published by . This book was released on 2007 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the 14th MSJ International Research Institute "Asymptotic Analysis and Singularity", which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America