• 제목/요약/키워드: global blow-up

검색결과 24건 처리시간 0.017초

QUALITATIVE PROPERTIES OF WEAK SOLUTIONS FOR p-LAPLACIAN EQUATIONS WITH NONLOCAL SOURCE AND GRADIENT ABSORPTION

  • Chaouai, Zakariya;El Hachimi, Abderrahmane
    • 대한수학회보
    • /
    • 제57권4호
    • /
    • pp.1003-1031
    • /
    • 2020
  • We consider the following Dirichlet initial boundary value problem with a gradient absorption and a nonlocal source $$\frac{{\partial}u}{{\partial}t}-div({\mid}{\nabla}u{\mid}^{p-2}{\nabla}u)={\lambda}u^k{\displaystyle\smashmargin{2}{\int\nolimits_{\Omega}}}u^sdx-{\mu}u^l{\mid}{\nabla}u{\mid}^q$$ in a bounded domain Ω ⊂ ℝN, where p > 1, the parameters k, s, l, q, λ > 0 and µ ≥ 0. Firstly, we establish local existence for weak solutions; the aim of this part is to prove a crucial priori estimate on |∇u|. Then, we give appropriate conditions in order to have existence and uniqueness or nonexistence of a global solution in time. Finally, depending on the choices of the initial data, ranges of the coefficients and exponents and measure of the domain, we show that the non-negative global weak solution, when it exists, must extinct after a finite time.

무인 헬기 자동 착륙을 위한 3차원 위치 추적 시스템 (Three-Dimensional Location Tracking System for Automatic Landing of an Unmanned Helicopter)

  • 추영열;강성호
    • 제어로봇시스템학회논문지
    • /
    • 제14권6호
    • /
    • pp.608-614
    • /
    • 2008
  • This paper describes a location tracking system to guide landing process of an Unmanned Helicopter(UMH) exploiting MIT Cricket nodes. For automatic landing of a UMH, a precise positioning system is indispensable. However, GPS(Global Positioning System) is inadequate for tracking the three dimensional position of a UMH because of large positioning errors. The Cricket systems use Time-Difference-of-Arrival(TDoA) method with ultrasonic and RF(Radio Frequency) signals to measure distances. They operate in passive mode in that a listener attached to a moving device receives distance signals from several beacons located at fixed points on ground. Inevitably, this passive type of implementation causes large disturbances in measuring distances between beacons and the listener due to wind blow from propeller and turbulence of UMH body. To cope with this problem, we proposed active type of implementation for positioning a UMH. In this implementation, a beacon is set up at UMH body and four listeners are located at ground area at least where the UMH will land. A pair of Ultrasonic and RF signals from the beacon arrives at several listeners to calculate the position of the UMH. The distance signals among listeners are synchronized with a counter value appended to each distance signals from the beacon.

상징적 이미지를 통한 주제의제표현에 대한 연구 (미켈란젤로 안토니오니의 영화"확대(1966)"를 중심으로) (The study of expressing Theme by symbolic images in film(Focusing on the Michelangelo Antonioni's film "Blow-up(1966)))

  • 이태훈
    • 디지털융복합연구
    • /
    • 제15권8호
    • /
    • pp.401-407
    • /
    • 2017
  • 최고의 대중예술로 보다 더 확고히 자리 잡은 영화 콘텐츠는 지구촌 사회의 문화에 가장 보편적인 내용과 공감대를 바탕으로 트렌드를 반영하는 메인 엔터테인먼트 콘텐츠이다. 그러나 현대영화는 오락성과 자극적 감성에 어필하는 대중의 기호에 보다 민감하기 때문에 예술적 표현의 감상을 통한 지적 쾌감의 기회의 감소는 불가피하며 아쉬울 수밖에 없다. 본 논문에서는 영화 속 쇼트들의 상징적 의미를 분석하여 그 외형 속에 투영된 내면의 본질을 파악케 하며 궁극적으로 표현된 주제 메시지를 도출해내고자 한다. 효과적인 상징 법은 정서를 드러내어 분위기와 무드를 조성하며 인물의 내적 심리 상태 및 의지 등을 잘 표현하면서 깊이 있는 관객과의 소통을 가능케 한다. 이처럼 표면적 이미지의 이면에 존재한 의미를 관객들에게 무의식적으로 전달함으로써 자신이 의도한 메시지를 보다 효과적이고 강하게 전달할 수가 있다. 또한 이를 통해 관객 기대 감성 구도에서 어떤 연상 작용 혹은 아이러니와 이미지의 충돌을 통한 화면 내의 대비 에너지 상승 등의 효과창출도 기대할 수 있다.

급성(急性) 기아(饑餓)마우스의 간단백질(肝蛋白質), 핵산(核酸) 및 Guanine Deaminase 활성(活性)에 관(關)한 연구(硏究) (A Study on The Content of Liver Protein, Nucleic Acids, and Guanine Deaminase Activity of Mouse During Acute Starvation)

  • 박승희;김승원
    • Journal of Nutrition and Health
    • /
    • 제1권2호
    • /
    • pp.107-115
    • /
    • 1968
  • Number of aspects, not only nutritional but social as well as political involved in human starvation pose nowadays global problems. In order to help establish the minimum nutritional requirements in the daily life of a man and to free people as well from either undernourishment, malnutrition or even starvation many workers have devoted themselves so far on the research programs to know what and how number of metabolic events take place in animals in vivo. It is the purpose of the present paper to examine in effect to what extent both of the protein and nucleic acids (DNA & RNA) together with an enzyme, guanine deaminase, which converts guanine into xanthine and in turn ends up to uric acid as an end product, undergo changes, quantitatively during acute starvation, using the mouse as an experimental animal. The mouse was strictly inhibited from taking foods except drinking water ad libitum and was sacriflced 24, 48, and 72 hours following starvation thus acutely induced. The animals consisted of two experimental groups, one control and another starvation groups, each being consisted of 6-24 mice of whose body weights ranged in the vicinity of 10 g. The animals were sacriflced by a blow on the head, followed by immediate excision of their livers into ice-cold distilled water, washing adherent blood and other contaminant tissues. The liver was minced foramin, by an all-glass homogenizer immersing it in an ice-bath, followed by subsequent fractionatin of the homogenate (10% W/V in 0.25M sucrose solution made up with 0.05M phosphate buffer of pH 7.4). For the liver protein and guanine deaminase assay, the 10% homogenate was centrifuged at 600 x g for 10 minutes to eliminate the nuclear fraction; and for the estimation of DNA and RNA, the homogenate was prepared by the addition of 10% trichloroacetic acid in order to free the homogenate from the acid-soluble fraction, the remaining residue being delipidate by the addition of alcohol and dried in vacuo for later KOH (IN) hydrolysis. The changes in body and liver wegihts during acute starvation were checked gravimetrically. Protein contents in the liver were monitored by the method of Lowry et al; and guanine deaminase activities were followed by the assay of liberated ammonia from the substrate utilizing the Caraway's colorimetry. The extraction of both DNA and RNA was performed by the Schmidt-Thannhauser's method, which was followed by Marmur's method of purification for DNA and by Chargaff's method of purification for RNA. The determinations of both DNA and RNA were carried out by the diphenylamine reaction for the former and by the orcinol reaction for the latter. The following resume was the results of the present work. 1. It was observed that the body as well as liver weights fall abruptly during starvation, and that the loss of body weight showed no statistical correlation with the decreases in the content of liver protein. 2. The content of liver protein and activity of liver guanine deaminase activity as well decline dramatically, and the specific activities of the enzyme (activity/protein), however, decreased gradually as starvation proceeded. 3. Both of the nucleic acids, DNA and RNA, showed decrements in the liver of mouse during acute starvation; the latter, however, being more striking in the decline as compared to the former. 4. The decreases in the liver protein content as resulted from the acute starvation had no statistically significant correlation with the decrements of DNA in the same tissue, but had regressed with a significant statistical correlation with the fall of RNA in the tissue. 5. The decrease in the activity of guanine deaminase in the liver of mouse during acute starvation was functionally more proportional to the decrease in RNA than DNA, and moreover correlated with the changes in the content of the liver protein. 6. The possible mechanisms involved during in this acute starvation as bring the decreases in the contents of DNA, protein, and guanine deaminase were discussed briefly.

  • PDF