Functional Analysis, Calculus of Variations and, Botelho Hardcover..

CRC Press

Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and EngineeringAuthor(s): Fabio Silva Botelho\nFormat: Hardback\nPublisher: Taylor & Francis Ltd, United Kingdom\nImprint: CRC Press\nISBN-13: 9780367356743, 978-0367356743\nSynopsis\nThe book discusses basic concepts of functional analysis, measure and integration theory, calculus of variations and duality and its applications to variational problems of non-convex nature, such as the Ginzburg-Landau system in superconductivity, shape optimization models, dual variational formulations for micro-magnetism and others. Numerical Methods for such and similar problems, such as models in flight mechanics and the Navier-Stokes system in fluid mechanics have been developed through the generalized method of lines, including their matrix finite dimensional approximations. It concludes with a review of recent research on Riemannian geometry applied to Quantum Mechanics and Relativity.\n\nThe book will be.