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- Kwon, Bongsuk
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SPECTRAL ANALYSIS FOR TRANSITION FRONT SOLUTIONS IN CAHN-HILLIARD SYSTEMS
- Author(s)
- Howard, Peter, Kwon, Bongsuk
- Issued Date
- 2012-01
- Citation
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.32, no.1, pp.125 - 166
- Abstract
- We consider the spectrum associated with the linear operator ob- tained when a Cahn{Hilliard system on ℝ is linearized about a transition wave solution. In many cases it's possible to show that the only non-negative ei- genvalue is λ = 0, and so stability depends entirely on the nature of this neutral eigenvalue. In such cases, we identify a stability condition based on an appropriate Evans function, and we verify this condition under strong struc- tural conditions on our equations. More generally, we discuss and implement a straightforward numerical check of our condition, valid under mild structural conditions
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- ISSN
- 1078-0947
- Keyword (Author)
- Cahn-Hilliard systems, transition fronts, stability, Evans function
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