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Boundaries, Interfaces and Transitions

Boundaries, Interfaces and Transitions (Paperback)

£111.00
To Order. Estimated despatch in 3-5 weeks.
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Synopsis

There is currently considerable mathematical interest and very real potential for applications in using geometry in the design, identification and control of technological processes. Geometry plays the role of a design variable in the shape optimization of mechanical parts. It also appears as a control variable in optimal swimming, shape control of aircraft wings or stabilization of membranes and plates by periodic variations of the boundary. As it is used as a design or control variable, it often undergoes 'mutations' as in the microstructures of materials, crystal growth, image processing or the texture of objects which involve relaxations of classical geometry and geometrical entities. In other areas, such as free and moving boundary problems, the understanding of the underlying phenomena is very much related to the geometric properties of the fronts and the nature of the nonlinearities involved.This book brings together tools that have been developed in a priori distant areas of mathematics, mechanics and physics.

It provides coverage of selected contemporary problems in the areas of optimal design, mathematical models in material sciences, hysteresis, superconductivity, phase transition, crystal growth, moving boundary problems, thin shells and some of the associated numerical issues.

Science & MathematicsMathematicsApplied mathematicsScience & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equations Publisher: American Mathematical Society Publication Date: 01/01/1998 ISBN-13: 9780821805053  Details: Type: Paperback Format: Books
Availability: To Order. Estimated despatch in 3-5 weeks.  

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