Strong solvability of 3-D Cahn-Hilliard system in elastic solids

In this paper we prove the existence and uniqueness of a strong solution to a 3‐D model of phase separation in elastic solids. The model has the form of an initial‐boundary‐value problem for a nonlinear coupled system of hyperbolic–parabolic type. The key idea of the proof is based on the analysis o...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2008-05, Vol.31 (8), p.879-914
Hauptverfasser:	Pawlow, Irena, Zajaczkowski, W M
Format:	Artikel
Sprache:	eng
Schlagworte:	Cahn-Hilliard elastic solids Exact sciences and technology Global analysis, analysis on manifolds Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems phase separation Sciences and techniques of general use strong solvability Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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