SOLUTION OF NONLINEAR HEAT CONDUCTION EQUATION AND IMAGE METHOD

摘要/Abstract

摘要： In this paper, the author proves that, for a nonlinear heat conduction equation, there is no discontinuous solution. Some methods of solution for a nonlinear conduction equation are depicted. For a plane interface, the reflection and transmission of a heat wave are given by the method of images. The 1st order of approximation of this method is proved. Lastly, the prevention of superheated electrons is laser implosion of deuterium tritium gas spnere with a shell made of high Z material is interpreted.

关键词: theory of flexible shell, circular ring shell, bellows, lateral bending load, moderately slender ratio, general solution

Abstract: In this paper, the author proves that, for a nonlinear heat conduction equation, there is no discontinuous solution. Some methods of solution for a nonlinear conduction equation are depicted. For a plane interface, the reflection and transmission of a heat wave are given by the method of images. The 1st order of approximation of this method is proved. Lastly, the prevention of superheated electrons is laser implosion of deuterium tritium gas spnere with a shell made of high Z material is interpreted.

Key words: theory of flexible shell, circular ring shell, bellows, lateral bending load, moderately slender ratio, general solution

章冠人. SOLUTION OF NONLINEAR HEAT CONDUCTION EQUATION AND IMAGE METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(4): 1521-1528.

Zhang Guan-ren. SOLUTION OF NONLINEAR HEAT CONDUCTION EQUATION AND IMAGE METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(4): 1521-1528.

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