Remarks on third-order ODEs relevant to the Kuramoto-Sivashinsky equation

DOI10.1006/jdeq.2001.4018zbMath1011.34022OpenAlexW2067795682MaRDI QIDQ1604510

Naoyuki Ishimura

Publication date: 4 July 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4018

zbMATH Keywords

solutionsKuramoto-Shivashinsky equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items

Shil'nikov configurations in any generic unfolding of the nilpotent singularity of codimension three on \(\mathbb R^3\)

Cites Work

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• The existence of steady solutions of the Kuramoto-Sivashinsky equation
• A singular perturbation problem in needle crystals
• Steady solutions of the Kuramoto-Sivashinsky equation
• Steady solutions of the Kuramoto-Sivashinsky equation for small wave speed
• A singular perturbation problem arising from the Kuramoto-Sivashinski equation
• On blowing-up solutions of the Blasius equation
• On an ODE from forced coating flow
• Asymptotics beyond All Orders in a Model of Crystal Growth
• Nonexistence of monotonic solutions in a model of dendritic growth
• Existence and uniqueness of heteroclinic orbits for the equation λu‴ + u′ = f(u)
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
• Source type solutions of a fourth order nonlinear degenerate parabolic equation
• Two Problems from Draining Flows Involving Third-Order Ordinary Differential Equations
• Nonexistence of monotonic solutions of some third-order ODE relevant to the Kuramoto-Sivashinsky equation

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