A Geometric Approach to Free Boundary Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Geometric Approach to Free Boundary Problems write by Luis A. Caffarelli. This book was released on 2005. A Geometric Approach to Free Boundary Problems available in PDF, EPUB and Kindle. 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 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Free Boundary Problems write by Pierluigi Colli. This book was released on 2012-12-06. Free Boundary Problems available in PDF, EPUB and Kindle. 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 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Free Boundary Problems write by Darya Apushkinskaya. This book was released on 2018-09-20. Free Boundary Problems available in PDF, EPUB and Kindle. This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet. The results presented complement those found in existing books in the subject, which mainly treat regularity properties away from the fixed boundary. The topics include optimal regularity, analysis of global solutions, tangential touch of the free and fixed boundaries, as well as Lipschitz- and $C^1$-regularity of the free boundary. Special attention is given to local versions of various monotonicity formulas. The intended audience includes research mathematicians and advanced graduate students interested in problems with free boundaries.
Free Boundary Problems in PDEs and Particle Systems
Free Boundary Problems in PDEs and Particle Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Free Boundary Problems in PDEs and Particle Systems write by Gioia Carinci. This book was released on 2016-06-22. Free Boundary Problems in PDEs and Particle Systems available in PDF, EPUB and Kindle. 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 Boundary Problems
Free Boundary Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Free Boundary Problems write by Ioannis Athanasopoulos. This book was released on 1999-06-25. Free Boundary Problems available in PDF, EPUB and Kindle. 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.
