Numerical verification method of solutions for elliptic equations and its application to the Rayleigh-Bénard problem

Yoshitaka Watanabe, Mitsuhiro T. Nakao

研究成果: ジャーナルへの寄稿記事

1 引用 (Scopus)

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We first summarize the general concept of our verification method of solutions for elliptic equations. Next, as an application of our method, a survey and future works on the numerical verification method of solutions for heat convection problems known as Rayleigh-Bénard problem are described. We will give a method to verify the existence of bifurcating solutions of the two-dimensional problem and the bifurcation point itself. Finally, an extension to the three-dimensional case and future works will be described.

元の言語英語
ページ(範囲)443-463
ページ数21
ジャーナルJapan Journal of Industrial and Applied Mathematics
26
発行部数2-3
DOI
出版物ステータス出版済み - 10 2009

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Applied Mathematics

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