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Issue 3
Sep.  2016
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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

vec estimates of solutions to the Cauchy problem of[2mm] one-dimensional convection-diffusion equations

doi: 2016.03.003
  • Received Date: 2015-05-29
  • Publish Date: 2016-05-25
  • 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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  • [1]QAFSAOUI M. Large time behavior for nonlinear higher order convection-diffusion equations [J]. Ann I H Poincaré-AN, 2006, 23: 911-927.
    [2]ESCOBEDO M, ZUAZUA E. Large time behavior for convection-diffusion equations in R{n [J]. J Func Anal, 1991, 100(1): 119-161.
    [3]徐红梅, 曾妍. 一维对流扩散方程解的2衰减估计 [J].武汉大学学报(理学版), 2015, 61(6): 573-576.
    [4]DENG S J, WANG W K, ZHAO H L. Existence theory and  estimates for the solution of nonlinear viscous wave equation [J]. Nonlinear Analysis: Real World Applications, 2010, 11(5): 4404-4414.
    [5] EVANS L C. Partial Differential Equations [M]. New York:American Mathematical Society, 2010. end{CKWX
     
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