On the nonlinear instability of traveling waves for a sixth-order parabolic equation

DOI10.1155/2012/739156zbMath1257.35061OpenAlexW2017025219WikidataQ58696700 ScholiaQ58696700MaRDI QIDQ1925423

Chein-Shan Liu, Zhenbang Li

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/739156

zbMATH Keywords

formation of quantum dots

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial value problems for higher-order parabolic equations (35K30) Traveling wave solutions (35C07)

Related Items (5)

Analysis and instabilities of travelling waves solutions for a free boundary problem with non-homogeneous KPP reaction, with degenerate diffusion and with non-linear advection ⋮ Convergence of Solutions to a Convective Cahn–Hilliard-Type Equation of the Sixth Order in Case of Small Deposition Rates ⋮ Oscillatory solutions and smoothing of a higher-order p-Laplacian operator ⋮ The KPP-problem and \(\log t\)-front shift for higher-order semilinear parabolic equations ⋮ Some properties of solutions for the sixth-order Cahn-Hilliard-type equation

Cites Work

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• Instability of travelling wave solutions of a population model with nonlocal effects
• Unstable sixth-order thin film equation: I. Blow-up similarity solutions
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• A simple proof of stability of fronts for the Cahn-Hilliard equation

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