The existence of intrinsic rotating wave solutions of a flame/smoldering-front evolution equation

• Kobayashi Shunsuke

  Kyoto University

• Uegata Yasuhide

  Setagaya Gakuen School

• Yazaki Shigetoshi

  Meiji University

抄録

The Kuramoto--Sivashinsky equation for Jordan curves is used to model the smoldering combustion of a sheet of paper. Here, the behavior of a rotating wave bifurcating from an expanding circle solution to this equation is mathematically analyzed. We also present some numerical examples in which the rotating waves are visualized.

収録刊行物

• JSIAM Letters

  JSIAM Letters 12 (0), 53-56, 2020

  一般社団法人 日本応用数理学会

キーワード

• Kuramoto--Sivashinsky equation
• rotating wave
• smoldering combustion

詳細情報

• CRID: 1390848250135575424
• NII論文ID: 130007887144
• DOI: 10.14495/jsiaml.12.53
• ISSN: 18830617
• ISSN: 18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/12/0/12_53/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可