On the Dissolution—growth Process of a Grain:

References

• Abergel , F. , Hilhorst , D. and Issard—Roch , F. 1993 . On a dissolution—growth problem with surface tension in the neighborhood of a stattonary solution, . SIAM J . Math. Anal. , 24 : 299 – 316 . pp
   Google Scholar
• .Abergel , F. , Hilhorst , D. , Issard—Roch , F. and Scheid , J.F. 1996 . Local emstence and uniqueness of a Stefan problem with surface tenszon, . Applicable Analysis , 60 : 219 – 240 .
   Google Scholar
• Cahn , J.W. and Hilliard , J.E. 1958 . Free energy of a nonunzform system. . I: Interfacznl free energy, J . Chem. Phys. , 28 : 258 – 267 . pp
   Web of Science ®Google Scholar
• Chadam , J. , Howison , S.D. and Ortoleva , P. 1987 . Exzstence and stability forspherical crystals yrowing in a supersaturated solution, . solution, IMA J. Appl. Math. , 39 : 1 – 15 . pp
   Google Scholar
• Conrad , F. , Hilhors , D. and Seidman , T.I. 1990 . Well—posedness of n motqing boundary problem arising in a dissolution—growth process, . iXonlinear Anal , 15 : 445 – 465 . pp
   Google Scholar
• SI. Cournil private communicatzon
   Google Scholar
• Cussler , E.L. 1984 . “ Diffuision ” . In Mass transfer in fluid systems, , Cambridge : Cambridge univ Press. .
   Google Scholar
• Dupaix , C. and Hilhorst , D. 1994 . “ On a dzssolutzon—growth problem with surface tenszon: ” . In a numerzcal study, preprint: , Edited by: Sheid , J.F. Orsay : Université de, ParisSud .
   Google Scholar
• Friedman A. free boundary problems for parabolic equations I. meeting of solids. J.Math. and Mech. 8 499 517 II. Conrlcnnlion or waporatzon of a llquzd drop, J . Math. and blech. 9, pp 19-66 (l960), III. Dissolutzon of a gas bubble zn liquid, J . Math. and Mech. 9, pp ,327-.345 (1960)
   Google Scholar
• Haario , H. and Seidman , T.I. 1994 . A modification of the film model, . Chem. Eng. Sci. , 49 : 1477 – 1479 .
   Google Scholar
• Hale , J. 1980 . “ Ordinary Differential Equations, ” . New York, : Kriege .
   Google Scholar
• D. Hilhorst, F. Issard-Roch, and T.I. Seidman, On a reaction-di.fusion equation with a free boundary: the case of an unbounded domain, pp. 232-236 in Free Boundary Problems lnvolving Solids (J. Chadanl and P. Rasmussen, eds,), Longman, London, (1993).
   Google Scholar
• Issard&Roch , F. and Seidman , T.I. 1998 . Well—posedness of a dissolutiongrowth problem on an unbounded domain, . Applicable Analysis. , 63 : 183 – 205 . also, Erratum, ibid. pp
   Google Scholar
• Nernst , W. 1904 . Nernst. Theorie der Reaktionsgeschwindzgkeit in heterogenen Systemer. . Z. Phys. Chem., , 47 : 52 – 55 . pp
   Google Scholar
• Scheid , J.F. 1994 . “ Étude théthCorique et numérique de l'évolution rnorphologique d'interfaces, ” . Orsay : Université de Paris—Sud, .
   Google Scholar
• Seidman , T.I . 1989 . “ The transient semiconductor problem with generation terms, II ” . In In Nonlinear Semigroups, PDE, and Attractors , Edited by: Gill , T.E and Zachary , W.W. 185 – 198 . New York : Springer-Verlag . LKIZI #1394:
   Google Scholar
• Taylor , J.E. 1992 . Mean curvature and weighted mean curvature, . Acta Met. Mat. , 40 : 1475 – 1485 .
   Google Scholar
• Woodruf , D.P. 1973 . “ The Solid—Liquid Interface, ” . Cambrige : Cambridge Univ. Press? .
   Google Scholar