Analyticity for a class of non-linear evolutionary pseudo-differential equations

DOI10.1017/S095679251400028XzbMath1321.35271OpenAlexW2127426124MaRDI QIDQ5499658

Xenakis Ioakim, Yiorgos-Sokratis Smyrlis

Publication date: 30 July 2015

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s095679251400028x

zbMATH Keywords

global attractorsdissipative-dispersive equationsKuramoto-Sivashinksy equationanalyticity of solutions of partial differential equations

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear parabolic equations (35K55) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (3)

Backward difference formulae for Kuramoto-Sivashinsky type equations ⋮ Investigation of the analyticity of dissipative-dispersive systems via a semigroup method ⋮ Analyticity for Kuramoto-Sivashinsky-type equations in two spatial dimensions

Cites Work

• Dissipative dynamics for a class of nonlinear pseudo-differential equations
• Analyticity for the Kuramoto-Sivashinsky equation
• Nonlinear stability of oscillatory core-annular flow: A generalized Kuramoto-Sivashinsky equation with time periodic coefficients
• Nonlinear instability at the interface between two viscous fluids
• The Well-Posedness of the Kuramoto–Sivashinsky Equation
• Stability of the kuramoto‐sivashinsky and related systems
• On the analyticity of certain dissipative-dispersive systems
• Wave evolution on electrified falling films
• Long Waves on Liquid Films
• Nonlinear long-wave stability of superposed fluids in an inclined channel

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