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Thermomechanics of Evolving Phase Boundaries in the Plane

Thermomechanics of Evolving Phase Boundaries in the Plane

Hardcover

Series: Oxford Mathematical Monographs

General MathematicsPhysics

ISBN10: 0198536941
ISBN13: 9780198536949
Publisher: Clarendon Press
Published: Jun 24 1993
Pages: 160
Weight: 0.95
Height: 0.57 Width: 6.47 Depth: 9.56
Language: English
This is one of the few books on the subject of mathematical materials science. It discusses the dynamics of two-phase systems within the framework of modern continuum thermodynamics, stressing fundamentals. Two general theories are discussed: a mechanical theory that leads to a generalization of the classical curve-shortening equation and a theory of heat conduction that broadly generalizes the classical Stefan theory. This original survey includes simple solutions that demonstrate the instabilities inherent in two-phase problems. The free-boundary problems that form the basis of the subject should be of great interest to mathematicians and physical scientists.

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Physics