DOI: 10.1007/bf02186838. Linking anisotropic sharp and diffuse surface motion laws via gradient flows

Linking anisotropic sharp and diffuse surface motion laws via gradient flows

10.1007/bf02186838

Crossref journal-article

Springer Science and Business Media LLC

Journal of Statistical Physics (297)

Bibliography

Taylor, J. E., & Cahn, J. W. (1994). Linking anisotropic sharp and diffuse surface motion laws via gradient flows. Journal of Statistical Physics, 77(1â2), 183â197.

Authors 2

Jean E. Taylor (first)
John W. Cahn (additional)

References 20 Referenced 156

William W. Mullins, Theory of thermal grooving,J. Appl. Phys. 28:333–339 (1957). (10.1063/1.1722742) / J. Appl. Phys. by William W. Mullins (1957)
John W. Cahn and Jean E. Taylor, Surface motion by surface diffusion,Acta Met. Materiala 42:1045–1063 (1994). (10.1016/0956-7151(94)90123-6) / Acta Met. Materiala by John W. Cahn (1994)
Jean E. Taylor, Mean curvature and weighted mean curvature,Acta Met. Materiala 40:1475–1485 (1992). (10.1016/0956-7151(92)90091-R) / Acta Met. Materiala by Jean E. Taylor (1992)
Ryo Kobayashi, Modeling and numerical simulations of dendritic crystal growth,Physica D 63:410–423 (1993). (10.1016/0167-2789(93)90120-P) / Physica D by Ryo Kobayashi (1993)
G. B. McFadden, A. A. Wheeler, R. J. Braun, S. R. Coriell, and R. F. Sekerka, Phase-field models for anisotropic interfaces,Phys. Rev. E 48:2016–2024 (1993). (10.1103/PhysRevE.48.2016) / Phys. Rev. E by G. B. McFadden (1993)
A. A. Wheeler, B. T. Murray and R. J. Schaefer, Computation of dendrites using a phase field model,Physica D 66:243–262 (1993). (10.1016/0167-2789(93)90242-S) / Physica D by A. A. Wheeler (1993)
Jean E. Taylor, The structure of singularities in solutions to ellipsoidal variational problems with constraints inR 3,Ann. Math. 103:541–546 (1976). (10.2307/1970950) / Ann. Math. by Jean E. Taylor (1976)
Paul C. Fife and Andrew Lacy, Motion by curvature in generalized Cahn-Allen models, preprint.
Amy Novick-Cohen and Robert Pego, Stable patterns in a viscous diffusion equation,Trans. Am. Math. Soc. 324:331–351 (1991). (10.1090/S0002-9947-1991-1015926-7) / Trans. Am. Math. Soc. by Amy Novick-Cohen (1991)
John E. Hilliard, Spinodal decomposition, inPhase Transformations (ASM, Cleveland, Ohio, 1970), Chapter 12, pp. 497–560. / Phase Transformations by John E. Hilliard (1970)
John R. Manning, Atomistic diffusion equations and kinetic forces, inDiffusion Analysis and Applications, A. D. Romig, Jr., and M. A. Dayananda, eds., (TMS, Warrendale, Pennsylvania, 1989), pp. 3–17. / Diffusion Analysis and Applications by John R. Manning (1989)
I. Kaur and W. Gust,Fundamentals of Grain and Interface Boundary Diffusion (Ziegler Press, Stuttgart, 1988). / Fundamentals of Grain and Interface Boundary Diffusion by I. Kaur (1988)
Paul C. Fife, Models for phase separation and their mathematics, inNonlinear Partial Differential Equations and Applications, M. Mimura and T. Nishida, eds. (KTK, Tokyo. 1993). / Nonlinear Partial Differential Equations and Applications by Paul C. Fife (1993)
Paul C. Fife, Barrett Lecture Notes, University of Tennessee (April 1991).
L. C. Evans, H. M. Soner, and P. E. Souganidis, Phase transitions and generalized motion by mean curvature,Commun. Pure Appl. Math., to appear. (10.1002/cpa.3160450903)
C. Elliott and H. Garcke, Existence results for diffusive surface motion laws, preprint.
J. Rubenstein and P. Sternberg, Nonlocal reaction-diffusion equations and nucleation, preprint.
Amy Novick-Cohen, John W. Cahn, and Charles M. Elliott, The Cahn-Hilliard equation: Surface motion by the Laplacian of the mean curvature, preprint.
John W. Cahn and John E. Hilliard, Free energy of a nonuniform system. I. Interfacial free energy,J. Chem. Phys. 28:258 (1958). (10.1063/1.1744102) / J. Chem. Phys. by John W. Cahn (1958)
John W. Cahn and Jean E. Taylor, Sharp corners in diffuse interfaces, in preparation.

Dates

Type	When
Created	19 years, 11 months ago (Sept. 20, 2005, 12:47 p.m.)
Deposited	6 years, 3 months ago (May 14, 2019, 9:20 a.m.)
Indexed	2 weeks, 2 days ago (Aug. 7, 2025, 4:47 p.m.)
Issued	30 years, 10 months ago (Oct. 1, 1994)
Published	30 years, 10 months ago (Oct. 1, 1994)
Published Print	30 years, 10 months ago (Oct. 1, 1994)

Funders 0

None

BibTeX

@article{Taylor_1994, title={Linking anisotropic sharp and diffuse surface motion laws via gradient flows}, volume={77}, ISSN={1572-9613}, url={http://dx.doi.org/10.1007/bf02186838}, DOI={10.1007/bf02186838}, number={1–2}, journal={Journal of Statistical Physics}, publisher={Springer Science and Business Media LLC}, author={Taylor, Jean E. and Cahn, John W.}, year={1994}, month=oct, pages={183–197} }

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