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Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering

Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering

Paperback

General MathematicsPhysics

ISBN10: 0367510030
ISBN13: 9780367510039
Publisher: Crc Pr Inc
Published: May 30 2022
Pages: 588
Weight: 2.22
Height: 1.19 Width: 7.00 Depth: 10.00
Language: English

The 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.

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Botelho, Fabio Silva

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General Mathematics