単独保存則方程式の周期解の数値解析

竹野茂治 (情報電子工学科 講師)

Numerical results of time--periodic solutions for a scalar conservation law

Shigeharu TAKENO

(新潟工科大学紀要 第 2 号 1997 年 12 月)

The scalar conservation law equation is known to have a discontinuous solution, so-called a shock wave. It makes some difficulties in mathematical analysis for the equation. Recently, the proof of the existence of the periodic solution was obtained for a scalar conservation law with a periodic outer force. In this paper, we introduce some properties and numerical results for the periodic solution by numerical computations.

scalar conservation law, Burgers equation, time periodic solution, weak solutions, period doubling bifurcation

• 1 はじめに
• 2 差分近似解
• 3 周期解への収束
• 4 -周期解
• 5 -周期を持つ厳密解
• 6 まとめ
• 参考文献
• この文書について...