非線形作用素方程式の定常一境界値問題 : 非線形関数解析(その1)

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In this paper, I analyzed the nonliner-steady-boundary problem on the incompressible viscous flow with the nonliner functional analyis. This problem are application of the steady-boundary problem of the nonliner operator equation. I solved this problem with two methods, one was the Leray-Schauder's principle, the other the fixed point theorem of the nonexpansive mapping theorem. The former showed the uniqueness and the existence of solution fo the small Raynolds number, the latter the existence of solution for the small viscous effect, and moreover showed the strong convergence of solution by Browder's strong convergence theorem and the weak convergence by Baillon's nonliner ergode theorem. I think these concepts are effective against the numerical calculation with the computer.
1999-07-31