Asymptotic stability of a Korteweg–de Vries equation with a two-dimensional center manifold

Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg–de Vries equation posed on a finite interval [0,2⁢π⁢7/3]{[0,2\pi\sqrt{7/3}]}. The equation comes with a Dirichlet boundary condition at the left end-point and both the Dirichlet and Neumann homogeneo...

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Bibliographic Details
Main Authors: Tang Shuxia, Chu Jixun, Shang Peipei, Coron Jean-Michel
Format: Article
Language:English
Published: De Gruyter 2018-11-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2016-0097

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