数学

一维对流扩散方程柯西问题解的Lp衰减估计

  • 曾 妍 ,
  • 辛谷雨
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  • 1. 河海大学~~理学院, 南京; 211100;
    2. 中国电子科技集团公司第二十八研究所, 南京; 210007
曾 妍, 女, 硕士研究生, 研究方向为偏微分方程.

收稿日期: 2015-05-29

  网络出版日期: 2016-09-22

基金资助

国家自然科学基金(11101121)

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

  • ZENG Yan ,
  • XIN Gu-Yu
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Received date: 2015-05-29

  Online published: 2016-09-22

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。

本文引用格式

曾 妍 , 辛谷雨 . 一维对流扩散方程柯西问题解的Lp衰减估计[J]. 华东师范大学学报(自然科学版), 2016 , 2016(3) : 21 -26 . DOI: 2016.03.003

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

参考文献

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[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.
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