vec estimates of solutions to the Cauchy problem of[2mm] one-dimensional convection-diffusion equations
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摘要: 考虑一维空间对流扩散方程frac{partial c}{partialt}+ufrac{partial c}{partialx}=Dc_{xx}+c_{xt}-(c{2})_{x}解的p}(2leqslantpleqslantinfty)衰减估计, 利用格林函数、频谱分析、能量估计等方法得到了解有与热核算子相同的衰减速度。Abstract: This paper investigated the estimates of solutions to one-dimensional convection-diffusion equations frac{partial c}{partial t}+ufrac{partial c}{partial x}=Dc_{xx}+c_{xt}-(c{2})_{x}, using Green's function method, frequency decomposition and energy estimates. We found that the decay rate of the solution is the same as that for heat fusion operator
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