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Global Existence and Decay Estimate of Solution to One Dimensional Convection-Diffusion Equation
作者姓名:XU Hongmei  MA Huiling
作者单位:Faculty of Science, Hohai University
基金项目:Supported by the National Natural Science Foundation of China(11101121)
摘    要:We study the global existence of solution to one dimensional convection-diffusion equation. Through constructing a Cauchy sequence in a Banach space, we get the local existence of solution to the equation. Based on the global bounds of the solution, we extend the local one to a global one that decays inlH space.

关 键 词:convection-diffusion  equation  global  existence  of  solution  decay  estimate

Global existence and decay estimate of solution to one dimensional convection-diffusion equation
XU Hongmei,MA Huiling.Global Existence and Decay Estimate of Solution to One Dimensional Convection-Diffusion Equation[J].Wuhan University Journal of Natural Sciences,2013,18(6):461-465.
Authors:Hongmei Xu  Huiling Ma
Institution:1. Faculty of Science, Hohai University, Nanjing, 211100, Jiangsu, China
Abstract:We study the global existence of solution to one dimensional convection-diffusion equation. Through constructing a Cauchy sequence in a Banach space, we get the local existence of solution to the equation. Based on the global bounds of the solution, we extend the local one to a global one that decays in H l space.
Keywords:
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