对流反应扩散方程的波前解

详细信息    查看全文 | 推荐本文 |

英文篇名：Traveling Wave Fronts for Reaction Advection Diffusion Equations 作者：武红艳 英文作者：WU Hongyan;School of Mathematical Sciences Jinzhong University; 关键词：对流 ; 行波解 ; 上下解方法 ; 单调迭代 英文关键词：advection;;traveling wave front;;upper and lower solutions;;monotone iteration 中文刊名：SJYX 英文刊名：Journal of Taiyuan Normal University(Natural Science Edition) 机构：晋中学院数理学院; 出版日期：2018-12-25 出版单位：太原师范学院学报(自然科学版) 年：2018 期：v.17;No.66 语种：中文; 页：SJYX201804007 页数：3 CN：04 ISSN：14-1304/N 分类号：30-32

摘要

在反应项是拟单调的条件下,通过定义上下解和构造单调迭代序列,得到对流反应扩散方程波前解的存在性.
        Existence of traveling wave front for reaction advection diffusion equations is obtained by defining the upper and lower solutions and constructing monotone iteration equations when the reaction term satisfies the quasi-monotonicity condition.

引文

[1]Wu Jianhong,Zou Xingfu.Existence of traveling wave fronts in delayed reaction-diffusion systems via the monotone iteration method[J].Proc.Amer.Math.Soc,1997,125:2589-2598
    [2]Wu Jianhong,Zou Xingfu.Traveling wave fronts of reaction-diffusion stems with delay[J].Dynamic Differential Equations,200l,13:651-687
    [3]Ma Siwang.Traveling wave fronts for delayed reaction-diffusion systems via a fixed point Theorem[J].Differential Equations,2001,171:294-314
    [4]Chern I-Liang,Meiming.Stability of non-monotone critical traveling waves for reaction-diffusion equations with time-delay[J].Differential Equations,2015,03
    [5]Xu Zhaoquan,Xiao Dongmei.Spreading speeds and uniqueness of traveling wave for a reaction diffusion equations with spatiotemporal delays[J].J.Differential Equations,2016,260:268-303
    [6]L.Malaguti,C.Marcelli.Traveling wave fronts in reaction-diffusion equations with convection effects and nonregular terms[J].Math.Nachr.,2002,242:148-164
    [7]武红艳.一类反应扩散方程波前解的存在性[J].太原师范学院学报(自然科学版),2016(2):32-33