The Dynamics of a Conserved Phase Field System: Stefan-like, Hele-Shaw, and Cahn-Hilliard Models as Asymptotic Limits |
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| Authors: | CAGINALP G. |
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| Affiliation: | Mathematics Department, University of Pittsburgh Pittsburgh, Pennsylvania 15260, USA |
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| Abstract: | The dynamics of a conserved phase field system for a free boundary,that is,  are studied asymptotically.Many of the major macroscopic free-boundary problems arise aslimits in various scalings. Temperature, curvature, surfacetension, and velocity relations are derived, and compared withanalogous results for systems using a nonconserved order parameter.A single fourth-order equation which has been studied in spinodaldecomposition (Cahn-Hilliard) is obtained from this system ofequations by setting the latent heat to zero. |
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