On the Nonlinear Instability of Traveling Waves for a Sixth-Order Parabolic Equation
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 soluti...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/739156 |
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| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |