A method how to determine parameters arising in a smoldering evolution equation by image segmentation for experiment's movies

DOI10.3934/dcdss.2020233zbMath1462.35459OpenAlexW2996715100WikidataQ126395805 ScholiaQ126395805MaRDI QIDQ830008

Maika Goto, Kazunori Kuwana, Shigetoshi Yazaki, Yasuhide Uegata

Publication date: 7 May 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020233

zbMATH Keywords

Kuramoto-Sivashinsky equationevolving Jordan curveimage intensity functionsmoldering combustionstep-function adjusted method

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Inverse problems for PDEs (35R30) Combustion (80A25) Applications of global differential geometry to the sciences (53C80) Moving boundary problems for PDEs (35R37)

Related Items (2)

Convergence of a finite difference scheme for a flame/smoldering-front evolution equation and its application to wavenumber selection ⋮ Analysis of Kuramoto-Sivashinsky Model of Flame/Smoldering Front by Means of Curvature Driven Flow

Cites Work

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• Evolution of plane curves with a curvature adjusted tangential velocity
• A simple and fast numerical method for solving flame/smoldering evolution equations
• Application of a curvature adjusted method in image segmentation
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• A direct method for solving an anisotropic mean curvature flow of plane curves with an external force
• Computational and qualitative aspects of evolution of curves driven by curvature and external force

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