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| Lp Decay Rate for a Nonlinear Convection Diffusion Reaction Equation in R~n | |
| 作者姓名： | Guo-wei LIU Hong-mei XU Yuan-mei XIA |
| 作者单位： | School of Mathematical Sciences;Faculty of Science |
| 基金项目： | supported by the Science and Technology Research Program of Chongqing Municipal Educaton Commission(Grant No.KJQN201900543);the Natural Science Foundation of Chongqing(Grant No.cstc2020jcyj-msxm X0709,Grant No.cstc2020jcyj-jq X0022);the Natural Science Foundation of China(Grant No.12001073)。 |
| 摘 要： | This paper studies the asymptotic behavior of solutions for a nonlinear convection diffusion reaction equation in Rn.Firstly,the global existence and uniqueness of classical solutions for small initial data are established.Then,we obtain the Lp,2≤p≤+∞decay rate of solutions.The approach is based on detailed analysis of the Green function of the linearized equation with the technique of long wave-short wave decomposition and the Fourier analysis. |
| 关 键 词： | convection diffusion reaction equation Green function Lpdecay rate |
Lp Decay Rate for a Nonlinear Convection Diffusion Reaction Equation in ?n |
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| Guo-wei LIU,Hong-mei XU,Yuan-mei XIA.Lp Decay Rate for a Nonlinear Convection Diffusion Reaction Equation in R~n[J].Acta Mathematicae Applicatae Sinica,2021,37(2):380-392. | |
| Authors: | Liu Guo-wei Xu Hong-mei Xia Yuan-mei |
| Institution: | 1.School of Mathematical Sciences, Chongqing Normal University, Chongqing, 400000, China ;2.Faculty of Science, Hohai University, Nanjing, 211100, China ; |
| Abstract: | Acta Mathematicae Applicatae Sinica, English Series - This paper studies the asymptotic behavior of solutions for a nonlinear convection diffusion reaction equation in ?n. Firstly, the global... |
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