partial differential equation methods in control and shape analysis

lecture notes in pure and applied mathematics

By: Giuseppe Da Prato (Editor), Jean-Paul Zolesio (Editor)

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Paperback | 20 February 1997 | Edition Number 1

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348 Pages

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25.4 x 17.78 x 1.83

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This up-to-date resource - based on the International Federation for Information Processing WG 7.2 Conference, held recently in Pisa, Italy - provides recent results as well as entirely new material on control theory and shape analysis.
Written by leading authorities from various disciplines, Partial Differential Equation Methods in Control and Shape Analysis presents a shape variational formulation of a hydrodynamic free interface that appears behind a three dimensional lifting profile...introduces new asymptotic results on singular perturbations and ergodic optimal control problems for systems with spatial state constraints...derives the first order conditions for optimality in optimal control problems governed by quasilinear elliptic equations...calculates the shape gradients of mixed finite element functionals with respect to the domain...studies the existence of an optimal domain for energy shape minimization problems...offers a model for the physical system formed by an elastic shell and an incompressible fluid...and more.
Containing key bibliographic citations as well as enlightening illustrations, Partial Differential Equation Methods in Control and Shape Analysis is an excellent reference for mathematical analysts, pure and applied mathematicians, geometers, control and electrical and electronics engineers and scientists, physicists, computer scientists, and graduate students in these disciplines.

Industry Reviews

"The papers present the latest developments and major advances in the fields of active and passive control for systems governed by partial differential equations-in particular in shape analysis and optimal shape design. The authors of the articles are well known for important results in this field of research." - Studia Universitatis Babes-Bolyai Series Mathematica, Vol. XLVIII, No. 1, 2003

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