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 2019-11-11. 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.
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 Isabel Narra Figueiredo. This book was released on 2007-01-11. Free Boundary Problems available in PDF, EPUB and Kindle. 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 and Moving Boundaries
Free and Moving Boundaries - 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 and Moving Boundaries write by Roland Glowinski. This book was released on 2007-06-06. Free and Moving Boundaries available in PDF, EPUB and Kindle. Addressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Control discusses moving boundary and boundary control in systems described by partial differential equations (PDEs). With contributions from international experts, the book emphasizes numerical and theoretical control of mo
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 Antonio Fasano. This book was released on 1983. Free Boundary Problems available in PDF, EPUB and Kindle.
