Asymptotic expansion for incompressible flow in rotating fields and its applications.

Research Project

Project/Area Number	20540217
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Single-year Grants
Section	一般
Research Field	Global analysis
Research Institution	Hokkaido Information University
Principal Investigator	MATSUI Shinya Hokkaido Information University, 情報メディア学部, 教授 (50219367)
Project Period (FY)	2008 – 2010
Project Status	Completed (Fiscal Year 2010)
Budget Amount *help	¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000) Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000) Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000) Fiscal Year 2008: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords	回転場 / 非圧縮性粘性流体 / Coriolis力 / 特異摂動 / テーラープラウドマンの定理 / 気象学 / コリオリ力 / 漸近展開 / 非線形偏微分方程式 / 特異摂動問題 / 境界層方程式 / コリオリカ / 境界憎方程式
Research Abstract	For the solutions of steady Navier-Stokes equations I calculated asymptotic expansion with respect to (Coriolis force parameter)^(-m) in L^2 space with m=2,3. I obtained asymptotic equations and analyzed its solutions.

Report

(4 results)