| Source-Type Solution of Nonlinear Parabolic Diffusion-Convection Equation |
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| 作者姓名： | This paper is
concerned with the nonlinear parabolicdiffusion-convection equation ut= |
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| 作者单位： | Math. Dept. of Putian College, Putian, Fujian, 351100,P. R. China
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| 基金项目： | Supported by the National
Natural ScienceFoundation of China and the Natural Science Foundation ofFujian Province of
China. |
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| 摘 要： | This paper is concerned with the nonlinear parabolic diffusion-convection equationut = (um).. (un)x (1)with a Dirac measure as its initial datum,i.e.u(x,0) = (x), (2)where m 1 and n 0 are two physical constants.From a mathematical point of view,this quasilinear parabolic equation is uniformly parabolicif m = 1 and nonuniformly parabolic (that is degenerate near the set where u = 0 ) if m > 1.Moreover the convection term become singular near the set where u = 0 if 0 < n < 1 .Ourtreatment will…
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| 修稿时间： | 2000年1月19日 |
Source-Type Solution of Nonlinear Parabolic Diffusion-Convection Equation |
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| Lu Guofu.Source-Type Solution of Nonlinear Parabolic Diffusion-Convection Equation[J].Advances in Mathematics,2000,29(2):185-188. |
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| Authors: | Lu Guofu |
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| Abstract: | This paper is concerned with the nonlinear parabolicdiffusion-convection equation ut=(um)xx+(un)x (1) |
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| Keywords: | |
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