Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
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Green's Function of Time-Energy Dependent Neutron Transport Equation

  • Hokee Minn (Department of Applied Mathematics and Department of Nuclear Engineering, Seoul National University) ;
  • Pac, Pong-Youl (Department of Applied Mathematics and Department of Nuclear Engineering, Seoul National University)
  • Published : 1970.12.01
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Abstract

The spectrum of continuous transfer operator arising in a time-energy dependent neutron transport equation is analyzed. Four theorems concerning on the spectrum are proved. A convolution theorem of the generalized Mellin energy transform is given. Also the completeness theorem necessary for a final solution is proved. A unique time decay constant 1 - c is found, which is dominant asymptotically.

시간과 에너지에 종속된 중성자 전도 방정식에 나타나는 연속 에너지 전도 연산자의 스펙트럼(Spectrum)을 분석했다. 스펙트럼에 관한 4가지 정리를 증명하고 일반화된 Mellin 에너지변화의 Convolution 정리를 얻었다. 또한 최종해에 필요한 완전성정리를 증명하고 점근적으로 가장 우세한 시간붕괴상수 1 - c를 발견하였다.

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