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ZENG Yan, XIN Gu-Yu. vec estimates of solutions to the Cauchy problem of[2mm] one-dimensional convection-diffusion equations[J]. Journal of East China Normal University (Natural Sciences), 2016, (3): 21-26. doi: 2016.03.003
Citation:
ZENG Yan, XIN Gu-Yu. vec estimates of solutions to the Cauchy problem of[2mm] one-dimensional convection-diffusion equations[J]. Journal of East China Normal University (Natural Sciences), 2016, (3): 21-26. doi: 2016.03.003
ZENG Yan, XIN Gu-Yu. vec estimates of solutions to the Cauchy problem of[2mm] one-dimensional convection-diffusion equations[J]. Journal of East China Normal University (Natural Sciences), 2016, (3): 21-26. doi: 2016.03.003
Citation:
ZENG Yan, XIN Gu-Yu. vec estimates of solutions to the Cauchy problem of[2mm] one-dimensional convection-diffusion equations[J]. Journal of East China Normal University (Natural Sciences), 2016, (3): 21-26. doi: 2016.03.003
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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