
Global Existence and Decay Estimate of Solution to One Dimensional ConvectionDiffusion Equation 
Time:2014107 
XU Hongmei, MA Huiling Faculty of Science, Hohai University, Nanjing 211100, Jiangsu, China 
Abstract: We study the global existence of solution to one di mensional convectiondiffusion 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 solu tion, we extend the local one to a global one that decays in l H space. 
Key words: convectiondiffusion equation; global existence of solution; decay estimate 
CLC number: O 175.28 

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