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A Geometric Approach To Free Boundary Problems


A Geometric Approach To Free Boundary Problems
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A Geometric Approach To Free Boundary Problems


A Geometric Approach To Free Boundary Problems
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Author : Luis A. Caffarelli
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

A Geometric Approach To Free Boundary Problems written by Luis A. Caffarelli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


We hope that the tools and ideas presented here will serve as a basis for the study of more complex phenomena and problems."--Jacket.



Free Boundary Problems


Free Boundary Problems
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Author : Eduardo V. Teixeira
language : en
Publisher: de Gruyter
Release Date : 2020-01-13

Free Boundary Problems written by Eduardo V. Teixeira and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-13 with Mathematics categories.


This book offers a comprehensive introduction to modern techniques in the study of free boundary problems of diffusive type. Applications of such methods are thoroughly explained by emblematic examples of the theory and several geometric ideas and insights are carefully discussed, making the text both accessible and appealing to a broad readership working in partial differential equations, calculus of variations, and geometric analysis.



Regularity Of The One Phase Free Boundaries


Regularity Of The One Phase Free Boundaries
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Author : Bozhidar Velichkov
language : en
Publisher: Springer Nature
Release Date : 2023-02-24

Regularity Of The One Phase Free Boundaries written by Bozhidar Velichkov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-24 with Mathematics categories.


This open access book is an introduction to the regularity theory for free boundary problems. The focus is on the one-phase Bernoulli problem, which is of particular interest as it deeply influenced the development of the modern free boundary regularity theory and is still an object of intensive research. The exposition is organized around four main theorems, which are dedicated to the one-phase functional in its simplest form. Many of the methods and the techniques presented here are very recent and were developed in the context of different free boundary problems. We also give the detailed proofs of several classical results, which are based on some universal ideas and are recurrent in the free boundary, PDE and the geometric regularity theories. This book is aimed at graduate students and researches and is accessible to anyone with a moderate level of knowledge of elliptical PDEs.



Free Boundary Problems


Free Boundary Problems
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Author : Ioannis Athanasopoulos
language : en
Publisher: Routledge
Release Date : 2019-11-11

Free Boundary Problems written by Ioannis Athanasopoulos and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-11 with Mathematics categories.


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.



Free Boundary Problems


Free Boundary Problems
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Author : A. Bossavit
language : en
Publisher:
Release Date : 1985

Free Boundary Problems written by A. Bossavit and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.




Free Boundary Problems


Free Boundary Problems
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Author : Pierluigi Colli
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Free Boundary Problems written by Pierluigi Colli and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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.



Free Boundary Problems


Free Boundary Problems
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Author : Isabel Narra Figueiredo
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-11

Free Boundary Problems written by Isabel Narra Figueiredo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-11 with Mathematics categories.


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.



Free Boundary Problems


Free Boundary Problems
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Author : Pierluigi Colli
language : en
Publisher: Nelson Thornes
Release Date : 2004

Free Boundary Problems written by Pierluigi Colli and has been published by Nelson Thornes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.


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.



Free Boundary Problems


Free Boundary Problems
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Author : Antonio Fasano
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1983

Free Boundary Problems written by Antonio Fasano and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Boundary value problems categories.




Free Boundary Problems Theory And Applications


Free Boundary Problems Theory And Applications
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Author : Marek Niezgodka
language : en
Publisher: CRC Press
Release Date : 1996-11-25

Free Boundary Problems Theory And Applications written by Marek Niezgodka and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-25 with Mathematics categories.


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.