2023-10-04T19:33:56Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/302602023-07-10T03:36:21Zhdl_2115_20039hdl_2115_116三次元渦度方程式の一次元モデルDeGregorio方程式の数値的研究Numerical study of De Gregorio's model for the 3-D vorticity equation佐藤, 英樹SATO, Hideki坂上, 貴之SAKAJO, Takashiopen access日本応用数理学会. 本文データは日本応用数理学会の許諾に基づきCiNiiから複製したものである.410It is quite difficult to show the existence and uniqueness of solution for the 3-D Navier-Stokes equations. The difficulty arises from the quadratic two nonlilnear terms, the vortex stretching term and the convection term. In order to see how these two terms affect the existence of the solution, De Gregorio proposed a 1-D model equation for the 3-D vorticity equation. However, in spite of its simple formulation, mathematical analysis of the model is not so easy. Thus, in this article, we investigate the model equation by numerical means, and discuss the property of the solution. It is quite difficult to show the existence and uniqueness of solution for the 3-D Navier-Stokes equations. The difficulty arises from the quadratic two nonlilnear terms, the vortex stretching term and the convection term. In order to see how these two terms affect the existence of the solution, De Gregorio proposed a 1-D model equation for the 3-D vorticity equation. However, in spite of its simple formulation, mathematical analysis of the model is not so easy. Thus, in this article, we investigate the model equation by numerical means, and discuss the property of the solution.日本応用数理学会2006-09-25jpnjournal articleVoRhttp://hdl.handle.net/2115/30260https://ci.nii.ac.jp/naid/1100048333721100048333720917-2246日本応用数理学会論文誌163221235https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/30260/1/o16-3.pdfapplication/pdf834.42 KB2006-09-25