The global attractor and numerical simulation of a forced weakly damped MKdV equation

DOI10.1016/j.nonrwa.2008.02.025zbMath1175.35022OpenAlexW2073198644MaRDI QIDQ1015099

Lixin Tian, Xiaoyan Deng, Wenxia Chen

Publication date: 7 May 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.02.025

zbMATH Keywords

one space dimensiondiscretization schemecomputational stabilityKuratowskii \(\alpha\)-noncompact measurelack of strong dispersive terms

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (4)

Higher regularity of global attractors of a weakly dissipative fractional Korteweg de Vries equation ⋮ Long time behavior of solutions of gKdV equations ⋮ GLOBAL ATTRACTOR FOR WEAKLY DAMPED, FORCED mKdV EQUATION BELOW ENERGY SPACE ⋮ Global attractor for weakly damped, forced mKdV equation in low regularity spaces

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