Exponentially slow motion of interface layers for the one-dimensional Allen–Cahn equation with nonlinear phase-dependent diffusivity
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00033-020-01362-0.pdf
Reference46 articles.
1. Allen, S.M., Cahn, J.W.: A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening. Acta Metall. 27(6), 1085–1095 (1979)
2. Bethuel, F., Smets, D.: Slow motion for equal depth multiple-well gradient systems: the degenerate case. Discrete Contin. Dyn. Syst. 33(1), 67–87 (2013)
3. Boltzmann, L.: Zur Integration der Diffusionsgleichung bei variabeln Diffusionscoefficienten. Ann. Phys. 289(13), 959–964 (1894)
4. Braides, A.: $$\Gamma $$-convergence for beginners, vol. 22 of Oxford Lecture Series in Mathematics and its Applications. Oxford University Press, Oxford (2002)
5. Broadbridge, P.: Exact solvability of the Mullins nonlinear diffusion model of groove development. J. Math. Phys. 30(7), 1648–1651 (1989)
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