A simple one‐dimensional model for the three‐dimensional vorticity equation

• P. Constantin

• P. D. Lax

• A. Majda

抄録

A simple qualitative one‐dimensional model for the 3‐D vorticity equation of incompressible fluid flow is developed. This simple model is solved exactly; despite its simplicity, this equation retains several of the most important structural features in the vorticity equations and its solutions exhibit some of the phenomena observed in numerical computations for breakdown for the 3‐D Euler equations.

収録刊行物

• Communications on Pure and Applied Mathematics

  Communications on Pure and Applied Mathematics 38 (6), 715-724, 1985-11

  Wiley

キーワード

• Applied Mathematics
• General Mathematics

詳細情報

• CRID: 1363388844643381760
• NII論文ID: 30027208627
• DOI: 10.1002/cpa.3160380605
• ISSN: 10970312
• ISSN: 00103640
• Web Site: https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fcpa.3160380605
• Web Site: https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.3160380605
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