[PDF] Geometric Measure Theory And Free Boundary Problems eBook

Author : Guido De Philippis
Publisher : Springer Nature
Page : 138 pages
File Size : 39,89 MB
Release : 2021-03-23
Category : Mathematics
ISBN : 303065799X

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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.

Author : Luis A. Caffarelli
Publisher : American Mathematical Soc.
Page : 282 pages
File Size : 16,3 MB
Release : 2005
Category : Mathematics
ISBN : 0821837842

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

Author : Ioannis Athanasopoulos
Publisher : Routledge
Page : 372 pages
File Size : 18,43 MB
Release : 2019-11-11
Category : Mathematics
ISBN : 1351447130

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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 : J I Diaz
Publisher : CRC Press
Page : 236 pages
File Size : 31,34 MB
Release : 1995-04-04
Category : Mathematics
ISBN : 9780582256453

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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.

Author : Isabel Narra Figueiredo
Publisher : Springer Science & Business Media
Page : 462 pages
File Size : 13,2 MB
Release : 2007-01-11
Category : Mathematics
ISBN : 3764377194

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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.

Author : Eduardo V. Teixeira
Publisher : de Gruyter
Page : 312 pages
File Size : 18,5 MB
Release : 2020-01-13
Category : Mathematics
ISBN : 9783110574487

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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.

Author : Marek Niezgodka
Publisher : CRC Press
Page : 462 pages
File Size : 25,99 MB
Release : 1996-11-25
Category : Mathematics
ISBN : 9780582305939

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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.