• 대한수학회보
• /
• 제60권4호
• /
• pp.1035-1059
• /
• 2023

Let p be an odd prime. Let E be an elliptic curve defined over a quadratic imaginary field, where p splits completely. Suppose E has supersingular reduction at primes above p. Under appropriate hypotheses, we extend the results of [17] to ℤ²_p-extensions. We define and study the fine double-signed residual Selmer groups in these settings. We prove that for two residually isomorphic elliptic curves, the vanishing of the signed 𝜇-invariants of one elliptic curve implies the vanishing of the signed 𝜇-invariants of the other. Finally, we show that the Pontryagin dual of the Selmer group and the double-signed Selmer groups have no non-trivial pseudo-null submodules for these extensions.

• 대한수학회보
• /
• 제61권2호
• /
• pp.479-488
• /
• 2024

Convergence to a steady state in the long term limit is established for global weak solutions to a chemotaxis model with degenerate local sensing and consumption, when the motility function is C¹-smooth on [0, ∞), vanishes at zero, and is positive on (0, ∞). A condition excluding that the large time limit is spatially homogeneous is also provided. These results extend previous ones derived for motility functions vanishing algebraically at zero and rely on a completely different approach.

• Korea-Australia Rheology Journal
• /
• 제20권3호
• /
• pp.143-152
• /
• 2008

Simulations of solutions of flexible polymer molecules during flow in simple or complex confined geometries are performed. Concentrations from ultradilute up to near the overlap concentration are considered. As concentration increases, the hydrodynamic migration effects observed in dilute solution unidirectional flows (Couette flow, Poiseuille flow) become less prominent, virtually vanishing as the overlap concentration is approached. In a grooved channel geometry, the groove is almost completely depleted of polymer chains at high Weissenberg number in the dilute limit, but at finite concentration this depletion effect is dramatically reduced. Only upon inclusion of hydrodynamic interactions can these phenomena be properly captured.

• Korea-Australia Rheology Journal
• /
• 제21권4호
• /
• pp.213-223
• /
• 2009

Taylor-Couette flow (i.e., flow between concentric, rotating cylinders) has long served as a paradigm for studies of hydrodynamic stability. For Newtonian fluids, the rich cascade of transitions from laminar, Couette flow to turbulent flow occurs through a set of well-characterized flow states (Taylor Vortex Flow, wavy Taylor vortices, modulated wavy vortices, etc.) that depend on the Reynolds numbers of both the inner and outer cylinders ($Re_i$ and $Re_o$). While extensive work has been done on (a) the effects of weak viscoelasticity on the first few transitions for $Re_o=0$ and (b) the effects of strong viscoelasticity in the limit of vanishing inertia ($Re_i$ and $Re_o$ both vanishing), the viscoelastic Taylor-Couette problem presents an enormous parameter space, much of which remains completely unexplored. Here we describe our recent experimental efforts to examine the effects of drag reducing polymers on the complete range of flow states observed in the Taylor-Couette problem. Of particular importance in the present work is 1) the rheological characterization of the test solutions via both shear and extensional (CaBER) rheometry, 2) the wide range of parameters examined, including $Re_i$, $Re_o$ and Elasticity number E1, and 3) the use of a consistent, conservative protocol for accessing flow states. We hope that by examining the stability changes for each flow state, we may gain insights into the importance of particular coherent structures in drag reduction, identify simple ways of screening new drag reducing additives, and improve our understanding of the mechanism of drag reduction.

• 한국재난정보학회 논문집
• /
• 제14권1호
• /
• pp.72-78
• /
• 2018

본 연구는 고위험군에 종사하는 근로자들을 대상으로 설문조사를 실시하여, 그들이 작업현장에서 느끼는 부적절한 장비의 착용이 안전사고 위험성 인식과 직무소진에 미치는 영향을 파악하고, 안전사고 위험성 인식의 매개효과를 파악하고자 하였다. 분석결과, 고위험군 종사자들이 느끼는 직무소진 중, 정서가 고갈되고, 인격화에 문제가 생기는 것은 위험을 방어하지 못하는 부적절한 장비를 착용하는 대서 비록 되며, 이로 인한 안전사고의 위험성 인식때문이라고 할 수 있었다. 따라서, 고위험군 종사자들이 위험한 작업현장에서 그들의 경력과 기술을 발휘하면서도 안전하게 작업을 할 수 있게 하기 위해서는 위험을 방어할 수 있는 적정한 장비를 착용할 수 있도록 아낌없는 지원을 해야 할 것이다.

• 소음진동
• /
• 제7권6호
• /
• pp.959-966
• /
• 1997

In general, the booming noise intensity at tunnel exit is strongly related to the gradient of the compression wave front created by high speed train entering the tunnel. This paper presents some results in relation with the compression wave front produced when the high speed train enters a tunnel. Four kinds of tunnel entrance shape with real dimensions were studied to investigate the formation of compression wave front inside tunnel by train entering tunnel. Computations were carried out using three-dimensional compressible Euler equation with vanishing viscosity and conductivity of fluid. According to the results, the flow disturbances occured at tunnel entrance were eliminated by tunnel hood with same cross sectional area. The compression wave front is formed completely at 30-40m from tunnel entrance. The maximum pressure gradient of compression wave front is reduced by 29.8% for the inclined tunnel hood and reduced by 21.5% for the tunnel hood with holes at the top face with tunnel without hood. The length of the inclined hood is 15m and the length of the hood with holes is 20m.

• 한국소음진동공학회:학술대회논문집
• /
• 한국소음진동공학회 1997년도 춘계학술대회논문집; 경주코오롱호텔; 22-23 May 1997
• /
• pp.627-635
• /
• 1997

In general, the booming noise intensity at tunnel exit is strongly related to the gradient of the compression wave front created by high speed train entering the tunnel. This paper presents some results in relation with the compression wave front produced when the high speed train enters a tunnel. Four kinds of tunnel entrance shape with real dimensions were studied to investigate the formation of compression wave front inside tunnel by train entering tunnel. Computations were carried out using three-dimensional compressible Euler equation with vanishing viscosity and conductivity of fluid. According to the reslts, the flow disturbance occured at tunnel entrance were eliminated by tunnel hood with same cross sectional area. The compression wave front is formed completely at 30-40m from tunnel entrance. The maximum pressure gradient of compression wave front is reduced by 29.8% for the inclined tunnel hood and reduced by 21.5% for the tunnel hood with holes at the top face with tunnel without hood. The length of the inclined hood is 15m and the length of the hood with holes is 20m.

• 지능정보연구
• /
• 제24권2호
• /
• pp.21-35
• /
• 2018

본 논문에서는 스테레오 음악에 오디오 워터마크를 삽입하기 위한 알고리즘을 제안하였다. 스테레오 음악은 2개의 채널을 갖고 있기 때문에 기존 워터마킹 기술은 일반적으로 각 채널을 독립적으로 생각하고 처리하는 경우가 많다. 그러나 스테레오를 모노로 변환하는 과정에서 워터마크의 손실이 발생하는 경우가 많이 발생할 수 있다. 제안한 알고리즘은 스테레오를 모노로 변환하더라도 워터마크의 손실이 발생하지 않도록 워터마크를 삽입할 때 스테레오와 모노변환의 특성을 이용하였다. 제안된 알고리즘에 사용된 오디오 워터마크는 "Copyright"와 "Copy_free"라는 두 가지 정보를 터보코드를 이용하여 생성하였다. 두 워터마크는 9바이트(72비트)로 이루어져 있으며, 오류정정을 위하여 터보코드를 적용하면 222비트로 삽입해야 하는 정보량이 늘어난다. 222비트의 워터마크는 추가적인 오류에 강인하도록 1024비트로 확장하여 최종적으로 스테레오 음악에 삽입할 워터마크로 사용하였다. 평균적으로 SNR은 40dB를 넘어서서 전통적인 양자화 방식보다 10dB 이상의 음질 개선을 가져왔다. 이는 상대적으로 10배의 음질 개선도를 의미하는 것으로 매우 유의미한 결과이다. 또한 워터마크의 추출에 필요한 샘플길이는 1초 이내의 길이면 충분히 추출이 가능하고, 128Kbps의 비트레이트를 갖는 MP3 압축에 대해서도 모두 1초 이내 길이의 음악 샘플로부터 워터마크의 완전한 추출이 가능하였다. 전통적인 양자화 방식이 10초 길이의 샘플을 이용해도 대부분 워터마크의 추출에 실패한 것에 비하면 1/10에 불과한 길이로 워터마크의 추출이 가능하다.