Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces
Publication
, Journal Article
Gao, Y; Liu, JG; Lu, J
Published in: Journal of Nonlinear Science
June 1, 2017
This work considers the rigorous derivation of continuum models of step motion starting from a mesoscopic Burton–Cabrera–Frank-type model following the Xiang’s work (Xiang in SIAM J Appl Math 63(1):241–258, 2002). We prove that as the lattice parameter goes to zero, for a finite time interval, a modified discrete model converges to the strong solution of the limiting PDE with first-order convergence rate.
Duke Scholars
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Published In
Journal of Nonlinear Science
DOI
EISSN
1432-1467
ISSN
0938-8974
Publication Date
June 1, 2017
Volume
27
Issue
3
Start / End Page
873 / 926
Related Subject Headings
- Fluids & Plasmas
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
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Gao, Y., Liu, J. G., & Lu, J. (2017). Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces. Journal of Nonlinear Science, 27(3), 873–926. https://doi.org/10.1007/s00332-016-9354-1
Gao, Y., J. G. Liu, and J. Lu. “Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces.” Journal of Nonlinear Science 27, no. 3 (June 1, 2017): 873–926. https://doi.org/10.1007/s00332-016-9354-1.
Gao Y, Liu JG, Lu J. Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces. Journal of Nonlinear Science. 2017 Jun 1;27(3):873–926.
Gao, Y., et al. “Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces.” Journal of Nonlinear Science, vol. 27, no. 3, June 2017, pp. 873–926. Scopus, doi:10.1007/s00332-016-9354-1.
Gao Y, Liu JG, Lu J. Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces. Journal of Nonlinear Science. 2017 Jun 1;27(3):873–926.
Published In
Journal of Nonlinear Science
DOI
EISSN
1432-1467
ISSN
0938-8974
Publication Date
June 1, 2017
Volume
27
Issue
3
Start / End Page
873 / 926
Related Subject Headings
- Fluids & Plasmas
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics