By Eliot Fried (auth.), Professor John M. Ball, Professor David Kinderlehrer, Professor Paulo Podio-Guidugli, Professor Marshall Slemrod (eds.)
ISBN-10: 3642599389
ISBN-13: 9783642599385
ISBN-10: 3642641881
ISBN-13: 9783642641886
This e-book addresses the physics of section transitions in chemical compositions and crystal or molecular constructions. It bargains with the regulate of the size and distribution of microstructural good points which are linked to assorted stages. right here a mathematical framework is gifted with the ability to explain and expect the evolution of section interfaces. the various appropriate advancements are summarized, with emphasis being put on the contributions made via these researchers whose works are published during this volume.
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Extra info for Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids: A Collection of Reprints of 14 Seminal Papers
Sample text
E. Fried & M. E. Gurtin, Continuum theory of thermally induced phase transitions based on an order parameter, Physica D 68,326-343. 4. M. E. Gurtin, The dynamics of solid-solid phase transitions 1. Coherent interfaces, Archive for Rational Mechanics and Analysis 123,305-335. 5. M. E. Gurtin & P. W. Voorhees, The continuum mechanics of coherent two-phase elastic solids with mass transport, Proceedings of the Royal Society of London A 440, 323-343. 6. E. V. Radkevich, On conditions for the existence of a classical solution of the mOdified Stefan problem (the Gibbs-Thomson law), Russian Academy of Sciences Sbornik Mathematics 75, 221-246.
Laughlin, R. F. Sekerka & C. M. ), American Institute of Mining, Metallurgical and Petroleum Engineers, New York. 4. M. Shearer, The Riemann problem for a class of conservation laws of mixed type, Journal of Differential Equations 46, 426-443. 1983 1. J. W. Cahn & F. C. Larche, An invariant formulation ofmulticomponent diffusion in crystals, Scripta Metallurgica 17, 927-932. 2. M. G. -L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Transactions of the American Mathematical Society 277, 142.
C. -L. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations, 1hmsactions of the American Mathematical Society 282, 487-502. 2. M. E. Gage, Curve shortening makes convex curves circular, Inventiones Mathematicae 76, 357-364. 3. G. Huisken, Flow by mean curvature of convex surfaces into spheres, Journal of Differential Geometry 20, 237-266. 4. W. W. Mullins, Thermodynamic equilibrium of a crystalline sphere in a fluid, Journal of Chemical Physics 81, 1436-1442. 5. M. Slemrod, Dynamics of first order phase transitions, in Phase 1Tansformations and Material Instabilities in Solids ( M.
Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids: A Collection of Reprints of 14 Seminal Papers by Eliot Fried (auth.), Professor John M. Ball, Professor David Kinderlehrer, Professor Paulo Podio-Guidugli, Professor Marshall Slemrod (eds.)
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