Computational Study of the Dispersively Modified Kuramoto–Sivashinsky Equation

DOI10.1137/100816791zbMath1416.65373OpenAlexW2061438139MaRDI QIDQ2904813

Demetrios T. Papageorgiou, Yiorgos-Sokratis Smyrlis, Georgios D. Akrivis

Publication date: 23 August 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100816791

zbMATH Keywords

pseudospectral methodKuramoto-Sivashinsky equationchaotic attractorsdispersive-dissipative systemslinearly implicit schemes

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)

Related Items (13)

Chebyshev rational spectral method for long-short wave equations ⋮ Nonlinear dynamics of a dispersive anisotropic Kuramoto–Sivashinsky equation in two space dimensions ⋮ Backward difference formulae for Kuramoto-Sivashinsky type equations ⋮ Time discretization and stability regions for dissipative-dispersive Kuramoto-Sivashinsky equation arising in turbulent gas flow over laminar liquid ⋮ ROBUST IMPLICIT DIFFERENCE APPROACH FOR THE TIME-FRACTIONAL KURAMOTO–SIVASHINSKY EQUATION WITH THE NON-SMOOTH SOLUTION ⋮ Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models ⋮ A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation ⋮ Hermite pesudospectral method and modified Hermite spectral method for long-short wave equations ⋮ Asymptotic modelling and direct numerical simulations of multilayer pressure-driven flows ⋮ Backward difference formulae: New multipliers and stability properties for parabolic equations ⋮ Nonlinear dynamics of surfactant-laden two-fluid Couette flows in the presence of inertia ⋮ Coherent Structures in Nonlocal Dispersive Active-Dissipative Systems ⋮ Nonlinear interfacial dynamics in stratified multilayer channel flows

This page was built for publication: Computational Study of the Dispersively Modified Kuramoto–Sivashinsky Equation