Functional Analysis Calculus of Variations and Numerical Methods for Models in Physics and Engineering | Science Publishers

Product Description

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. The…