Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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General contact-angle conditions with and without kinetics


Authors: Sigurd Angenent and Morton E. Gurtin
Journal: Quart. Appl. Math. 54 (1996), 557-569
MSC: Primary 80A22; Secondary 76B45
DOI: https://doi.org/10.1090/qam/1402410
MathSciNet review: MR1402410
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Abstract | References | Similar Articles | Additional Information

Abstract: The classical condition for the contact angle of a phase interface at a container wall is generalized to include both anisotropy and kinetics. The derivation, which does not involve an assumption of local equilibrium, is based on a capillary force balance, a dissipation inequality representing the second law, and suitable constitutive assumptions.


References [Enhancements On Off] (What's this?)

  • [AG] S. Angenent and M. E. Gurtin, Multiphase thermomechanics with interfacial structure. 2. Evolution of an isothermal interface, Arch. Rational Mech. Anal. 108, 323-391 (1989)
  • [Br] K. A. Brakke, The Motion of a Surface by its Mean Curvature, Princeton University Press, 1978
  • [G1] M. E. Gurtin, Multiphase thermomechanics with interfacial structure. 1. Heat conduction and the capillary balance law, Arch. Rational Mech. Anal. 104, 185-221 (1988)
  • [G2] M. E. Gurtin, Thermomechanics of Evolving Phase Boundaries in the Plane, Oxford Press, 1993
  • [G3] M. E. Gurtin, The nature of configurational forces, Arch. Rational Mech. Anal. 131, 67-100 (1995)
  • [Mu] W. W. Mullins, Two-dimensional motion of idealized grain boundaries, J. Appl. Phys. 27, 900-904 (1956)

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Additional Information

DOI: https://doi.org/10.1090/qam/1402410
Article copyright: © Copyright 1996 American Mathematical Society


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