Zhang Guan-ren. Solution of Non-Linear Heat Conduction Equation and image Method[J]. Applied Mathematics and Mechanics, 1984, 5(4): 553-559.
Citation:
Zhang Guan-ren. Solution of Non-Linear Heat Conduction Equation and image Method[J]. Applied Mathematics and Mechanics, 1984, 5(4): 553-559.
Zhang Guan-ren. Solution of Non-Linear Heat Conduction Equation and image Method[J]. Applied Mathematics and Mechanics, 1984, 5(4): 553-559.
Citation:
Zhang Guan-ren. Solution of Non-Linear Heat Conduction Equation and image Method[J]. Applied Mathematics and Mechanics, 1984, 5(4): 553-559.
Solution of Non-Linear Heat Conduction Equation and image Method
Received Date: 1982-06-24Publish Date:
1984-08-15
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.
References
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Richtmyer, R. D. and K. W. Morton, Difference Methods for Initial Value Problem, 2nd edition, John Wiley and Sons, Inc.(1967).
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Баренблатт Г.И.,О некоторых неустаоовившихся движеоиях жидкости и газа в пористой среде,ПММ,56,(1952),67.
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Marshak, R. E., Effect of radiation on shock wave behavior, Phys. of Fluids, Vol. 1,(1958), 24.
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Spitzer, Jr., L., Physics of Fully Ionized Gases, 2nd edition, New York,(1961).
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