Γ-limit for the extended Fisher–Kolmogorov equation
2002 ◽
Vol 132
(1)
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pp. 141-162
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Keyword(s):
The One
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We consider the Lyapunov functional, of the rescaled Extended Fisher-Kolmogorov equation This is a fourth order generalization of the Fisher–Kolmogorov or Allen–Cahn equation. We prove that if ε → 0, then tends to the area functional in the sense of Γ-limits, where the transition energy is given by the one-dimensional kink of the Extended Fisher–Kolmogorov equation.
2015 ◽
Vol 6
(2)
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pp. 237-263
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Keyword(s):
1994 ◽
Vol 26
(04)
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pp. 1022-1043
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2013 ◽
Vol 2013
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pp. 1-9
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2009 ◽
Vol 25
(3)
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pp. 685-711
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Keyword(s):
2008 ◽
Vol 85
(7)
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pp. 1083-1095
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Keyword(s):