A note on the Kuramoto-Sivashinsky equation with discontinuity

DOI10.3934/mine.2021041OpenAlexW3094408871MaRDI QIDQ2167479

Marco Gallo, Lorenzo D'Ambrosio, Alessandro Pugliese

Publication date: 25 August 2022

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mine.2021041

zbMATH Keywords

periodic solutionsoscillationsdiscontinuous differential equationsfinite time extinctionextinction profile

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Discontinuous ordinary differential equations (34A36)

Related Items (2)

Partial differential equations from theory to applications: dedicated to Alberto Farina, on the occasion of his 50th birthday ⋮ Traveling wave oscillatory patterns in a signed Kuramoto-Sivashinsky equation with absorption

Cites Work

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• Piecewise-smooth dynamical systems. Theory and applications
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• Similarity solutions of a higher order nonlinear diffusion equation
• A class of piecewise linear differential equations arising in biological models
• Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations
• Source-type solutions of the fourth-order unstable thin film equation

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