Special solutions for an equation arising in sand ripple dynamics

DOI10.1016/J.NONRWA.2022.103629zbMath1504.35556OpenAlexW4281395986MaRDI QIDQ2147514

Renato Colucci

Publication date: 20 June 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103629

zbMATH Keywords

pattern formationtravelling wave solutionssand ripples

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of crystals (82D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Traveling wave solutions (35C07) Pattern formations in context of PDEs (35B36) PDEs in connection with statistical mechanics (35Q82)

Related Items (1)

Periodic travelling waves for a fourth order nonlinear evolution equation

Cites Work

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• From the conserved Kuramoto-Sivashinsky equation to a coalescing particles model
• Blown by wind: nonlinear dynamics of aeolian sand ripples
• Stability of compressive and undercompressive thin film travelling waves
• Nonlinear PDEs
• Traveling Wave Solutions of Fourth Order PDEs for Image Processing
• Homoclinic Solutions for Fourth Order Traveling Wave Equations
• Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film
• Spatial patterns. Higher order models in physics and mechanics

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