Global Existence and Decay Estimate of Solution to One Dimensional Convection-Diffusion Equation
XU Hongmei, MA Huiling Faculty of Science, Hohai University, Nanjing 211100, Jiangsu, China
We study the global existence of solution to one di- mensional 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 solu- tion, we extend the local one to a global one that decays in l H space.
Key words: convection-diffusion equation; global existence of solution; decay estimate
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