Qualitative analysis for the solution of Kuramoto-Sivashinsky equation

DOI10.1007/BF02463793zbMath0943.35082OpenAlexW1973694469MaRDI QIDQ1970109

Chengshun Jiang, Haiming Gu

Publication date: 19 March 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02463793

zbMATH Keywords

regularityexistenceasymptotic behavioruniquenessKuramoto-Sivashinsky equationinitial boundary value problemsGalerkin's methodclassical global solutiongeneralized global solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

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• A generalized diffusion model for growth and dispersal in a population
• Infinite-dimensional dynamical systems in mechanics and physics
• On the behavior of the solutions of the Kuramoto-Sivashinsky equation for negative time
• Global attractors for the three-dimensional Navier-Stokes equations
• Dynamics of evolutionary equations

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