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이정오,김문운 陸軍士官學校 1969 한국군사학논집 Vol.7 No.-
This study deals experimentally and theoretically with pumping of slightIy conducting, thin liquid layer by means of a traveling electric potential-wave and electroliydrodynamic stability problem for the flow, which has a linear velocity profile bounded by a fixed wall and an infinitely extended insulating liquid. It is shown that the induction pumping is successful in getting the film Reynolds number of order of few hundreds and that the limitation on the uniform flow results from flow instability. The stability problem is solved asymptotically for large values of Reynolds number. The neutral stability curves are presented in α vs R plane; the critical Reynolds number and the corresponding wavenumber are found. Comparison of the theory with the experimental data on the interface velocity of laminar flow, the voltage corresponding to the critical Reynolds number and the most unstable wavelength of the disturbance show satisfactory agreement. Appendicies give the details of the calculation of perturbed electric fields and of electric surface tractions which play an important role in the stability problem.
Stanojevic의 푸리에 급수의 L1-수렴성 연구의 소 계보 고찰
이정오 한국수학사학회 2013 Journal for history of mathematics Vol.26 No.2
본 논문은 저자의 선행 연구 결과에 따른 부가적인 연구로 ‘푸리에 급수의 L 1-수렴성’ 에 관한 많은업적을 남긴 세계적인 수학자인 스타노제빅 (Caslav V. Stanojevic)¹⁾을 중심으로 20세기 후반부터 21세기 초까지 (1973–2002) 30년간 그의 연구결과를 순차적으로 고찰하여 푸리에 급수의 L 1-수렴성연구자들의 2012년까지 소 계보를 조사한다. This study concerns Stanojevic’s academic works on the L1-convergence of Fourier series from 1973 to 2002. We review his academic works. Also, we briefly investigate a simple academic lineage for the researchers of L1-convergence of Fourier series until 2012. First, we introduce the classical lineage of the researchers for L1-convergence Fourier series in section 2. Second, we investigate the backgrounds of Stanojevic’s study at Belgrade University and University of Missouri-Rolla respectively. Finally, we compare and consider the L1-convergence theorems of Stanojevic’s results from 1973 to 2002 successively. In addition, we compose a the simple lineage of L1-convergence of Fourier series from 1973 to 2012.