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双稳反应扩散系统的棱锥形行波解(英文) 被引量:1

Traveling fronts with pyramidal shape in bistable reaction-diffusion systems
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摘要 研究了双稳型反应扩散系统存空间R^m(m≥4)中的棱锥形行波解的存在性.主要的方法是使用比较原理和构造适当的上下解. The existence of pyramidal traveling fronts for bistable reaction-diffusion systems in R^m(m≥4) was studies.By establishing the comparison theorem and constructing appropriate supersolutions and subsolutions, the existence of traveling curved frontes proved.
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第6期125-131,共7页 Journal of Lanzhou University(Natural Sciences)
基金 Supported by the National Natural Science Foundation of China(11071105) Program for New Century Excellent Talents in Universities(NCET-10-0470) China Postdoctoral Science Foundation(20100481319) The Fundamental Research Funds for the Central Universities(GK201002046)
关键词 双稳反应扩散系统 棱锥形行波解 存在性 bistable reaction-diffusion system pyramidal traveling front existence
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  • 1Bonnet A,Hamel F. Existence of non-planar solutions of a simple model of premixed Bunsen flames[J].SIAM Journal on Mathematical Analysis,1999,(01):80?118.
  • 2Hamel F,Nadirashvili N. Travelling fronts and entire solutions of the Fisher-KPP equation in RN[J].Archive For Rational Mechanics and Analysis,2001,(02):91?163.
  • 3Hamel F,Monneau R,Roquejoffre J M. Exis-tence and qualitative properties of multidimensional conical bistable fronts[J].Discrete and Continuous Dynamical Systems,2005,(04):1069?1096.
  • 4Hamel F,Monneau R,Roquejoffre J M. Asymptotic properties and classification of bistable fronts with Lipschitz level sets[J].Discrete and Continuous Dynamical Systems,2006,(01):75?92.
  • 5Ninomiya H,Taniguchi M. Existence and global stability of traveling curved fronts in the Allen-Cahn equations[J].Journal of Differential Equations,2005,(01):204?233.
  • 6Ninomiya H,Taniguchi M. Global stability of traveling curved fronts in the Allen-Cahn equa-tions[J].Discrete Contnu Dyn Syst,2006,(03):829?832.
  • 7Taniguchi M. Traveling fronts of pyramidal shapes in the Allen-Cahn equations[J].SIAM Journal on Mathematical Analysis,2007,(01):319?344.
  • 8Taniguchi M. The uniqueness and asymptotic sta-bility of pyramidal traveling fronts in the Allen-Cahn equations[J].J Differential Euqations,2009,(05):2103?2130.
  • 9Taniguchi M. Multi-dimensional traveling fronts in bistable reaction-diffusion equations[J].Discrete Contnu Dyn Syst,2012,(03):1011?1046.
  • 10Kurokawa Y,Taniguchi M. Multi-dimensional pyramidal travelling fronts in the Allen-Cahn equa-tions[J].Proc Royal Soc Edinburgh A,2011,(05):1031?1054.

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