Publication Cover
Applicable Analysis
An International Journal
Volume 56, 1995 - Issue 1-2
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Original Articles

A Quasi–steady Approximation to an lntegro–differential Model of lnterface Motion

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Pages 19-34 | Published online: 02 May 2007

  • Almgre F. Wang L. Mathematical existence of crystal growth with Gibbs-Thompson curvature effects Moscow Preprint
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  • Angenent S. Gurtin M. Anisotropic motion of a phase interface, Research Report No. 91–NA–013 Department of Mathematic Carnegie Mellon University Pittsburgh Paennsylvania
  • Dasorogna , B. 1989 . Direct methods in the calculus of variation , New York : Springer .
  • Gurtin , M. 1988 . Multiphase thermomechanics interfacial structure. 1. Heat conduction and the capillary balance law . Arch. Rational Mech. Anal. , 104 : 195 – 221 .
  • Gurtin , M. 1988 . Multiphase thermomechanics interfacil structure. Toward a nonequilibrium thermodynamics of two phase materials . Arch. Rational Mech. Anal , 100 : 275 – 312 .
  • Gurtin , M. and Matias , J. Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces . Report No. 93–NA–024, . Pennsylvania : Department of Mathematics, Carnegie Mellon University, Pittsburgh . to appear in Quart. Appl. Math.
  • Ladyzhenskaya , O. A. 1985 . The boundary problems of mathemaical physics , Vol. 103 , New York : Springer .
  • Ladyzhenskaya , O. A. , Solonnikov , B. A. and Uraltzeva , N. N. 1967 . Linear andquailinear equations o parabolic type Nauck, , Russian
  • Luckhaus , S. 1990 . Solutions for the two-phase Stfan problem with th Gibbs-Thomoson law for the melting temperature . Euro. J. Appl. Math. , 1 : 101 – 111 .

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