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Volumn 3, Issue 5, 1998, Pages 687-713

Crystalline version of the stefan problem with Gibbs-Thompson law and kinetic undercooling

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EID: 0000962869     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (22)
  • 1
    • 84894568404 scopus 로고    scopus 로고
    • Mathematical existence of crystal growth with Gibbs-Thompson curvature effects
    • to appear
    • F. Almgren and L. Wang, Mathematical existence of crystal growth with Gibbs-Thompson curvature effects, J. Geom. Anal., to appear.
    • J. Geom. Anal.
    • Almgren, F.1    Wang, L.2
  • 2
    • 84906890283 scopus 로고
    • Growth of faceted needle crystals: theory
    • Ben Amar and Y. Pomeau, Growth of faceted needle crystals: theory, Europhys. Lett., 6 (1988), 609-614.
    • (1988) Europhys. Lett. , vol.6 , pp. 609-614
    • Amar, B.1    Pomeau, Y.2
  • 3
    • 0001304426 scopus 로고
    • Local existence and uniqueness of solutions to the Stefan problem with surface tension and kinetic undercooling
    • X. Chen and F. Reitich, Local existence and uniqueness of solutions to the Stefan problem with surface tension and kinetic undercooling, J. Math. Anal. Appl., 164 (1992), 350-362.
    • (1992) J. Math. Anal. Appl. , vol.164 , pp. 350-362
    • Chen, X.1    Reitich, F.2
  • 7
    • 0000317873 scopus 로고
    • Convergence of a crystalline algorithm for the motion of a simple closed convex curve by weighted curvature
    • P.M. Girão Convergence of a crystalline algorithm for the motion of a simple closed convex curve by weighted curvature, SIAM J. Num. Analysis., 32 (1995), 886-899.
    • (1995) SIAM J. Num. Analysis. , vol.32 , pp. 886-899
    • Girão, P.M.1
  • 8
    • 84951613405 scopus 로고
    • Convergence of a crystalline algorithm for the heat equation in one dimension and for motion of a graph by weighted curvature
    • P.M. Girão and R.V. Kohn, Convergence of a crystalline algorithm for the heat equation in one dimension and for motion of a graph by weighted curvature, Num. Math., 67 (1994), 41-70.
    • (1994) Num. Math. , vol.67 , pp. 41-70
    • Girão, P.M.1    Kohn, R.V.2
  • 9
    • 84894571062 scopus 로고    scopus 로고
    • in "Proc. of Free Boundary Problems, Theory and Applications, Proceedings of the Zakopane Congress 95" (M. Niezgódka, P. Strzelecki, eds.), 203-216, Longman, Harlow
    • R. Goglione and M. Paolini, Numerical simulations of crystalline motion by mean curvature with Allen-Cahn relaxation, in "Proc. of Free Boundary Problems, Theory and Applications, Proceedings of the Zakopane Congress 95" (M. Niezgódka, P. Strzelecki, eds.), 203-216, Longman, Harlow, 1996.
    • (1996) Numerical simulations of crystalline motion by mean curvature with Allen-Cahn relaxation
    • Goglione, R.1    Paolini, M.2
  • 10
    • 0004009003 scopus 로고
    • Thermomechanics of Evolving Phase Boundaries in the Plane
    • Clarendon Press, Oxford
    • M. Gurtin, "Thermomechanics of Evolving Phase Boundaries in the Plane," Clarendon Press, Oxford, 1993.
    • (1993)
    • Gurtin, M.1
  • 11
    • 0029170803 scopus 로고
    • Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces
    • M. Gurtin and J. Matias, Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces, Quart. Appl. Math., 53 (1995), 761-782.
    • (1995) Quart. Appl. Math. , vol.53 , pp. 761-782
    • Gurtin, M.1    Matias, J.2
  • 12
    • 0009438594 scopus 로고
    • Notes of lectures given by Gurtin at the IMA
    • University of Minnesota, September
    • M. Gurtin and J. Matias, "Notes of lectures given by Gurtin at the IMA," University of Minnesota, September 1990.
    • (1990)
    • Gurtin, M.1    Matias, J.2
  • 13
    • 0003460899 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer, Berlin, 1981. (Russian translation: Mir, Moscow, )
    • D. Henry, "Geometric theory of semilinear parabolic equations," Springer, Berlin, 1981. (Russian translation: Mir, Moscow, 1985).
    • (1985)
    • Henry, D.1
  • 14
    • 23244465575 scopus 로고
    • Surface tension as a motivation for sintering
    • in "The Physics of Powder Metallurgy" (W.E. Kingston ed.), McGraw-Hill, New York
    • C. Herring, Surface tension as a motivation for sintering, in "The Physics of Powder Metallurgy" (W.E. Kingston ed.), McGraw-Hill, New York, 1958.
    • (1958)
    • Herring, C.1
  • 15
    • 84971922508 scopus 로고
    • Solutions for the two-phase Stefan problem with the Gibbs-Thomson law for the melting temperature
    • S. Luckhaus, Solutions for the two-phase Stefan problem with the Gibbs-Thomson law for the melting temperature, Euro. J. Appl. Math., 1 (1990), 101-111.
    • (1990) Euro. J. Appl. Math. , vol.1 , pp. 101-111
    • Luckhaus, S.1
  • 16
    • 84894556449 scopus 로고
    • On the order function of homogeneous distributions on the real line
    • G. Lysik, On the order function of homogeneous distributions on the real line, Bull. Pol. Acad. Sci. Math., 32 (1984), 463-470.
    • (1984) Bull. Pol. Acad. Sci. Math. , vol.32 , pp. 463-470
    • Lysik, G.1
  • 17
    • 0001427453 scopus 로고
    • The Gibbs-Thompson correction and condition for the existence of classical solution of the modified Stefan problem
    • E.V. Radkevich, The Gibbs-Thompson correction and condition for the existence of classical solution of the modified Stefan problem, Soviet Math. Dokl., 43 (1991), 274-278.
    • (1991) Soviet Math. Dokl. , vol.43 , pp. 274-278
    • Radkevich, E.V.1
  • 18
    • 0040047666 scopus 로고
    • Modeling crystal growth in a diffusion field using fully faceted interfaces
    • A.R. Roosen and J.E. Taylor, Modeling crystal growth in a diffusion field using fully faceted interfaces, J. Comp. Phys., 114 (1994), 113-128.
    • (1994) J. Comp. Phys. , vol.114 , pp. 113-128
    • Roosen, A.R.1    Taylor, J.E.2
  • 19
    • 0031077374 scopus 로고    scopus 로고
    • A crystalline motion: uniqueness and geometric properties
    • P. Rybka, A crystalline motion: uniqueness and geometric properties, SIAM J. Appl. Math., 57 (1997), 53-72.
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 53-72
    • Rybka, P.1
  • 20
    • 0000842146 scopus 로고    scopus 로고
    • Uniqueness of self-similar solutions for a crystalline flow
    • A. Stancu, Uniqueness of self-similar solutions for a crystalline flow, Indiana Univ. Math. J., 45 (1996), 1157-1174.
    • (1996) Indiana Univ. Math. J. , vol.45 , pp. 1157-1174
    • Stancu, A.1
  • 22
    • 0003882441 scopus 로고
    • Theory of interpolation, function spaces, differential operators
    • North Holland, Amsterdam
    • H. Triebel, "Theory of interpolation, function spaces, differential operators," North Holland, Amsterdam, 1978.
    • (1978)
    • Triebel, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.