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Bernoulli Free-Boundary Problems

2008 Mathematics
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Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 890/5 ( reviews)

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Book Synopsis Bernoulli Free-Boundary Problems by : Eugene Shargorodsky

Download or read book Bernoulli Free-Boundary Problems written by Eugene Shargorodsky. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Free Boundary Problems

1999-06-25 Mathematics
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Release : 1999-06-25
Genre : Mathematics
Kind : eBook
Book Rating : 189/5 ( reviews)

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Book Synopsis Free Boundary Problems by : Ioannis Athanasopoulos

Download or read book Free Boundary Problems written by Ioannis Athanasopoulos. This book was released on 1999-06-25. 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.

Regularity of the One-phase Free Boundaries

2023-02-24 Mathematics
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Release : 2023-02-24
Genre : Mathematics
Kind : eBook
Book Rating : 386/5 ( reviews)

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Book Synopsis Regularity of the One-phase Free Boundaries by : Bozhidar Velichkov

Download or read book Regularity of the One-phase Free Boundaries written by Bozhidar Velichkov. This book was released on 2023-02-24. Available in PDF, EPUB and Kindle. Book excerpt: 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

2019-11-11 Mathematics
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Release : 2019-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 130/5 ( reviews)

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Book Synopsis Free Boundary Problems by : Ioannis Athanasopoulos

Download or read book Free Boundary Problems written by Ioannis Athanasopoulos. This book was released on 2019-11-11. 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.

Geometric Measure Theory and Free Boundary Problems

2021-03-23 Mathematics
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Release : 2021-03-23
Genre : Mathematics
Kind : eBook
Book Rating : 99X/5 ( reviews)

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Book Synopsis Geometric Measure Theory and Free Boundary Problems by : Guido De Philippis

Download or read book Geometric Measure Theory and Free Boundary Problems written by Guido De Philippis. This book was released on 2021-03-23. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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