DOI: 10.1007/bf01041068. Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface

Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface

10.1007/bf01041068

Crossref journal-article

Springer Science and Business Media LLC

Archive for Rational Mechanics and Analysis (297)

Bibliography

Angenent, S., & Gurtin, M. E. (1989). Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface. Archive for Rational Mechanics and Analysis, 108(3), 323â391.

Authors 2

Sigurd Angenent (first)
Morton E. Gurtin (additional)

References 28 Referenced 223

[1901]Wulff, G., Zur Frage der Geschwindigkeit des Wachsthums und der Auflösung der Krystallflächen, Zeit. Krystall. Min.34, 449?530. / Zeit. Krystall. Min. by G. Wulff (1901)
[1944]Dinghas, A., Über einen geometrischen Satz von Wulff für die Gleichgewichts-form von Krystallen, Zeit. Krystall.105, 304?314. / Zeit. Krystall. by A. Dinghas (1944)
[1951a]Herring, C., Surface tension as a motivation for sintering,The Physics of Powder Metallurgy (ed.W. E. Kingston) McGraw-Hill, New York. / The Physics of Powder Metallurgy by C. Herring (1951)
[1951b]Herring, C., Some theorems on the free energies of crystal surfaces, Phys. Rev.82, 87?93. (10.1103/PhysRev.82.87) / Phys. Rev. by C. Herring (1951)
[1958]Frank, F. C., On the kinematic theory of crystal growth and dissolution processes,Growth and Perfection of Crystals (eds.R. H. Doremus, B. W. Roberts &D. Turnbull) John Wiley, New York. / Growth and Perfection of Crystals by F. C. Frank (1958)
[1963]Frank, F. C., The geometrical thermodynamics of surfaces, Metal Surfaces: Structure, Energetics, and Kinetics, Am. Soc. Metals, Metals Park, Ohio. / Metal Surfaces: Structure, Energetics, and Kinetics by F. C. Frank (1963)
[1963]Gjostein, N. A., Adsorption and surface energy (II): thermal faceting from minimization of surface energy, Act. Metall.11, 969?977. (10.1016/0001-6160(63)90066-X) / Act. Metall. by N. A. Gjostein (1963)
[1967]Protter, M., &H. Weinberger,Maximum Principles in Differential Equations, Prentice Hall, New York. / Maximum Principles in Differential Equations by M. Protter (1967)
[1974]Cahn, J. W., &D. W. Hoffman, A vector thermodynamics for anisotropic surfaces ? 2. curved and faceted surfaces, Act. Metall.22, 1205?1214. (10.1016/0001-6160(74)90134-5) / Act. Metall. by J. W. Cahn (1974)
[1978]Brakke, K. A.,The Motion of a Surface by its Mean Curvature, Princeton University Press.
[1978]Taylor, J. E., Crystalline variational problems, Bull. Am. Math. Soc.84, 568?588. (10.1090/S0002-9904-1978-14499-1) / Bull. Am. Math. Soc. by J. E. Taylor (1978)
[1979]Allen, S. M., &J. W. Cahn, A macroscopic theory for antiphase boundary motion and its application to antiphase domain coarsening, Act. Metall.27, 1085?1098. (10.1016/0001-6160(79)90196-2) / Act. Metall. by S. M. Allen (1979)
[1984]Gage, M., Curve shortening makes convex curves circular, Invent. Math.76, 76, 357?364. (10.1007/BF01388602) / Invent. Math. by M. Gage (1984)
[1985]Sethian, J. A., Curvature and the evolution of fronts, Comm. Math. Phys.101, 487?499. (10.1007/BF01210742) / Comm. Math. Phys. by J. A. Sethian (1985)
[1986]Abresch, U., &J. Langer, The normalized curve shortening flow and homothetic solutions. J. Diff. Geom.23, 175?196. (10.4310/jdg/1214440025) / J. Diff. Geom. by U. Abresch (1986)
[1986]Gage, M., &R. S. Hamilton, The heat equation shrinking convex plane curves, J. Diff. Geom.23, 69?95. (10.4310/jdg/1214439902) / J. Diff. Geom. by M. Gage (1986)
[1986]Gage, M., Oh an area preserving evolution equation for plane curves, Contemporary Math.51, 51?62. (10.1090/conm/051/848933) / Contemporary Math. by M. Gage (1986)
[1986g]Gurtin, M. E., On the two-phase Stefan problem with interfacial energy and entropy, Arch. Rational Mech. Anal.96, 199?241. (10.1007/BF00251907) / Arch. Rational Mech. Anal. by M. E. Gurtin (1986)
[1987]Grayson, M. A., The heat equation shrinks embedded plane curves to round points, J. Diff. Geom.26, 285?314. (10.4310/jdg/1214441371) / J. Diff. Geom. by M. A. Grayson (1987)
[1987]Huisken, G., Deforming hypersurfaces of the sphere by their mean curvature, Math. Z.198, 138?146. / Math. Z. by G. Huisken (1987)
[1987]Maris, H. J., & A. A. Andreev, The surface of crystalline helium 4, Phys. Today, February, 25?30. (10.1063/1.881096)
[1987]Osher, S., &J. A. Sethian, Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations, CAM Report 87?12, Dept. Math., U. California, Los Angeles. / CAM Report by S. Osher (1987)
[1987]Rubinstein, J., Sternberg, P., & J. B. Keller, Fast reaction, slow diffusion, and curve shortening, Forthcoming.
[1988]Angenent, S., Forthcoming.
[1988g]Gurtin, M. E., Multiphase thermomechanics with interfacial structure. 1. Heat conduction and the capillary balance law. Arch. Rational Mech. Anal.104, 195?221. (10.1007/BF00281354) / Arch. Rational Mech. Anal. by M. E. Gurtin (1988)
[1988gg]Gurtin, M. E., Multiphase thermomechanics with interfacial structure. Toward a nonequilibrium thermomechanics of two phase materials, Arch. Rational Mech. Anal.100, 275?312. (10.1007/BF00251518) / Arch. Rational Mech. Anal. by M. E. Gurtin (1988)
[1988]Fonseca, I., Interfacial energy and the Maxwell rule, Res. Rept. 88?18, Dept. Math., Carnegie Mellon, Pittsburgh. / Interfacial energy and the Maxwell rule / Res. Rept. by I. Fonseca (1988)
[1989]Angenent, S., & M. E. Gurtin, Forthcoming.

Dates

Type	When
Created	20 years, 7 months ago (Jan. 21, 2005, 2:53 a.m.)
Deposited	6 years, 3 months ago (April 29, 2019, 8:27 p.m.)
Indexed	3 weeks, 1 day ago (Aug. 2, 2025, 12:53 a.m.)
Issued	36 years, 7 months ago (Jan. 1, 1989)
Published	36 years, 7 months ago (Jan. 1, 1989)
Published Print	36 years, 7 months ago (Jan. 1, 1989)

Funders 0

None

BibTeX

@article{Angenent_1989, title={Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface}, volume={108}, ISSN={1432-0673}, url={http://dx.doi.org/10.1007/bf01041068}, DOI={10.1007/bf01041068}, number={3}, journal={Archive for Rational Mechanics and Analysis}, publisher={Springer Science and Business Media LLC}, author={Angenent, Sigurd and Gurtin, Morton E.}, year={1989}, pages={323–391} }

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