Bernoulli Free Boundary Problems
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Bernoulli Free Boundary Problems
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Author : Eugene Shargorodsky
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Bernoulli Free Boundary Problems written by Eugene Shargorodsky 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 2008 with Mathematics categories.
Questions of existence, multiplicity, and regularity of free boundaries for prescribed data need to be addressed and their solutions lead to nonlinear problems. In this paper an equivalence is established between Bernoulli free-boundary problems and a class of equations for real-valued functions of one real variable.
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.
Trial Methods For Bernoulli S Free Boundary Problem
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Author : Giannoula Mitrou
language : en
Publisher:
Release Date : 2014
Trial Methods For Bernoulli S Free Boundary Problem written by Giannoula Mitrou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
Geometric Measure Theory And Free Boundary Problems
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Author : Guido De Philippis
language : en
Publisher: Springer Nature
Release Date : 2021-03-23
Geometric Measure Theory And Free Boundary Problems written by Guido De Philippis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-23 with Mathematics categories.
This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. It is based on lectures given at the 2019 CIME summer school “Geometric Measure Theory and Applications – From Geometric Analysis to Free Boundary Problems” which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro. Providing a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary problems and water waves as well as regularity theory for the obstacle problems and the developments leading to applications to the Stefan problem, this volume will be of interest to students and researchers in mathematical analysis and its applications.
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.
A Nonlinear Free Boundary Problem With A Self Driven Bernoulli Condition
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Author : Serena Dipierro
language : en
Publisher:
Release Date : 2016
A Nonlinear Free Boundary Problem With A Self Driven Bernoulli Condition written by Serena Dipierro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
Bernoulli S Free Boundary Problem Qualitative Theory And Numerical Approximation
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Author : Martin Flucher
language : en
Publisher:
Release Date : 1995
Bernoulli S Free Boundary Problem Qualitative Theory And Numerical Approximation written by Martin Flucher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
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
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Author : J I Diaz
language : en
Publisher: CRC Press
Release Date : 1995-04-04
Free Boundary Problems written by J I Diaz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-04 with Mathematics categories.
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 Problems With Concentration
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Author : Martin F. Bach
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Variational Problems With Concentration written by Martin F. Bach 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.
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.