Journal article
Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth.
- Abstract:
-
This paper is concerned with the analysis of a numerical algorithm for the approximate solution of a class of nonlinear evolution problems that arise as L2 gradient flow for the Modica-Mortola regularization of the functional Here γ is the interfacial energy per unit length or unit area, Td is the flat torus in Td, and σ is a nonnegative Fourier multiplier, that is continuous on ℝd, symmetric in the sense that σ(ξ) = σ(-ξ) for all ξ ∈ℝd and that decays to zero at infinity. Such functionals fe...
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- Publication status:
- Published
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- Publisher copy:
- 10.1090/S0025-5718-10-02365-3
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Bibliographic Details
- Journal:
- Math. Comput.
- Volume:
- 80
- Issue:
- 273
- Pages:
- 205-223
- Publication date:
- 2011-01-01
- DOI:
- EISSN:
-
1088-6842
- ISSN:
-
0025-5718
- Source identifiers:
-
124590
Item Description
- Language:
- English
- Pubs id:
-
pubs:124590
- UUID:
-
uuid:8a56b0df-1333-43bb-9ba7-c2c4d138e38b
- Local pid:
- pubs:124590
- Deposit date:
- 2012-12-19
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- Copyright date:
- 2011
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