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

Zhenbang Li | Zendy; Changchun Liu | Zendy

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

Author(s) -

Zhenbang Li,

Changchun Liu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/739156

Subject(s) - mathematics , matrix (chemical analysis) , font , traveling wave , order (exchange) , nonlinear system , mathematical analysis , combinatorics , physics , quantum mechanics , materials science , computer science , composite material , finance , economics , operating system

We study the instability of the traveling waves ofa sixth-order parabolic equation which arises naturally as a continuum modelfor the formation of quantum dots and their faceting. We prove that sometraveling wave solutions are nonlinear unstable under 4 perturbations. Thesetraveling wave solutions converge to a constant as →∞

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