Blow up and growth in the directional solidification of dilute binary alloys

References

• Sivashinsky , G.I. 1983 . On cellular instability in the solidification of a dilute binary alloy . Physica , 8 : 243 – 248 .
   Google Scholar
• Novick-Cohen , A. and Sivashinsky , G.I. 1986 . On the solidification front of a dilute binary alloy . Physica , 20 : 237 – 258 .
   Google Scholar
• Young , G.W. and Davis , S.H. 1986 . Directional solidification with buoyancy in systems with small segregation coefficient . Phys. Rev. , 34 : 3388 – 3396 .
   Google Scholar
• Young , G.W. , Davis , S.H. and Brattkus , K.E. 1987 . Anisotropic interface kinetics and tilted cells in unidirectional solidification . J. Crystal Growth , 83 : 560 – 571 .
   Web of Science ®Google Scholar
• Hyman , J.M. , Novick-Cohen , A. and Rosenau , P. 1988 . Asymptotic equations for directional solidification:exponential nonlinearities . Phys. Rev. , 37 : 7603 – 7608 .
   Google Scholar
• Henry , D. 1981 . Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics , Vol. 840 , Berlin : Springer-Verlag .
   Google Scholar
• Elliott , C. and Zheng , S. 1986 . On the Cahn-Hilliard Equation . ARMA , 96 : 339 – 357 .
   Web of Science ®Google Scholar
• Adams , R. 1975 . Sobolev Spaces , New York : Academic Press .
   Google Scholar