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

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  • Zhenbang Li
  • Changchun Liu

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 H4 perturbations. These traveling wave solutions converge to a constant as x → ∞.

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:739156
DOI: 10.1155/2012/739156
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