On the nonlinear instability of traveling waves for a sixth-order parabolic equation (Q1925423)
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scientific article; zbMATH DE number 6116443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the nonlinear instability of traveling waves for a sixth-order parabolic equation |
scientific article; zbMATH DE number 6116443 |
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On the nonlinear instability of traveling waves for a sixth-order parabolic equation (English)
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18 December 2012
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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 \(H^4\) perturbations. These traveling wave solutions converge to a constant as \(x \rightarrow \infty\).
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formation of quantum dots
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