• Journal of the Korean Mathematical Society
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• v.46 no.1
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• pp.31-39
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• 2009

A bifurcation problem for nonlinear partial differential equations of the form $$div({\varphi}(|{\nabla}u|){\nabla}u+{\mu}_0{\varphi}(|u|)u=q({\lambda},\;x,\;u,\;{\nabla}u)$$ subject to Dirichlet boundary conditions is discussed. Using a global bifurcation theorem of Rabinowitz type, we show that under certain conditions on $\varphi$ and q, the above equation has an unbounded connected set of solutions (u, $\lambda$).

• Proceedings of the KSME Conference
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• 2002.08a
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• pp.197-200
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• 2002

In this paper, roll damping coefficients for a non-conventional cross section, which is herein named as 'step' model, are investigated numerically and experimentally. Experiments are extensively carried out to estimate the roll damping coefficients. Numerical estimations are also made with the help of numerical codes. For convenience, the roll damping is divided into wave-making component and viscous component. The wave-making component is determined using a potential code and the viscous component using a viscous flow code, in which the fluid domain is taken as unbounded. In order to validate the present approach, a typical cross section with bilge is considered and our results are compared with published data. The comparison shows a good agreement qualitatively. For the step model, numerical results are compared well with experimental data besides some quantitative discrepancies at a certain range of frequency. It is thought that the discrepancy might be caused by the ignorance of the free surface in viscous computations. It is found in the case of the step model that not only the viscous component but also the wave component increases considerably compared to the section with bilge.

• 중국학논총
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• no.53
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• pp.1-16
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• 2017

The grammatical meaning of "了", a marker of aspects in Mandarin has been described differently among researchers, three of which are to express the end, a certain phase of event and the start of an event or a state. This paper consists of four parts. Set out below is a summary of main points of each part. The first chapter elaborates on the results of previous related studies, points out the purpose and meaning of the current study. Chapter two introduces marked "了" including concepts of the meaning and "Done", "complete whole", "realization" Corresponds to the case study. And explains syntactic and semantic features of the "了", highlights the look "of the了" problems of syntax and semantics, "了2" made three domains Limit 3 Including of the knowledge. This chapter holds that its grammartical meaning can be described as follows an event has taken place or a state has formed prior to a certain reference time, and that the grammartical meanings mentioned above can be considered sub - grammartical meanings of "了",which result from different prominence of the phases of an event. Chapter three explains tag component of the "了1", "了2". It discusses limited constraints, first place for "了" syntactic meaning, "The End" and "extension" of the opposition for "了" is looming around the root system, "了" and "着" sentence structure and semantic and syntactic forms. Chapter four discusses bounded features of the 了. It mainly focuses on "了"of bounded / unbounded function. It analyses the functions of components and explains a bounded function of "了1" and a bounded function of "了2". Chapter five is the conclusion. It consolidates and summarises the previous contents of the paper and points out the conclusion.