scientific article; zbMATH DE number 977901

zbMath0870.65114MaRDI QIDQ4332134

Xin-Min Xiang, Bo-ling Guo

Publication date: 17 September 1997

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zbMATH Keywords

error estimationspectral methodglobal smooth solutionKuramoto-Sivashinsky equationsperiodic initial value problemlarge time convergence

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Applications to the sciences (65Z05)

Related Items (11)

Periodic boundary value problem for nonlinear Sobolev-type equations ⋮ A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation ⋮ Asymptotics of solutions to the periodic problem for a Burgers type equation ⋮ Asymptotic behavior of solutions for the time-delayed Kuramoto-Sivashinsky equation ⋮ Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay ⋮ Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation ⋮ Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation ⋮ Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation ⋮ Nonlinear adaptive boundary control of the modified generalized Korteweg-de Vries-Burgers equation ⋮ Modelling and nonlinear boundary stabilization of the modified generalized Korteweg-de Vries-Burgers equation ⋮ Boundary linear stabilization of the modified generalized Korteweg-de Vries-Burgers equation

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