On the Nonlinear Instability of Traveling Waves for a Sixth-Order Parabolic Equation

Zhenbang Li and Changchun Liu

Abstract and Applied Analysis, 2012, vol. 2012, 1-17

Abstract:

We study the instability of the traveling waves of a sixth-order parabolic equation which arises naturally as a continuum model for the formation of quantum dots and their faceting. We prove that some traveling wave solutions are nonlinear unstable under ð » 4 perturbations. These traveling wave solutions converge to a constant as ð ‘¥ → ∞ .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:739156

DOI: 10.1155/2012/739156

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