Instability of singularly perturbed Neumann layer solutions in reaction-diffusion systems
Author:
Publisher
Hiroshima University - Department of Mathematics
Subject
Geometry and Topology,Algebra and Number Theory,Analysis
Reference20 articles.
1. [1] Amann, H., Existence and multiplicity theorems for semi-linear elliptic boundary value problems, Math. Z. 150 (1976), 281-295.
2. [2] Constantin, P., Foias, C, Nicolaenko, B. and Temam, R., Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations, Springer-Verlag Berlin Heidelberg, 1989.
3. [3] Ermentrout, G. B., Hastings S. P. and Troy, W. C., Large amplitude stationary waves in an excitable lateral-inhibitory medium, SIAM J. Appl. Math. 44 (1984), 1133-1149.
4. [4] Fife, P. C., Boundary and interior transition layer phenomena for pairs of second-order differentiable equations, J. Math. Anal. Appl. 54 (1976), 497-521.
5. [5] Fujii, H. and Hosono, Y., Neumann layer phenomena in nonlinear diffusionsystems, Lecture Notes in Num. Anal 6, Kinokuniya-North Holland, 1983, 21-38.
Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Stability for stationary solutions of a nonlocal Allen-Cahn equation;Journal of Differential Equations;2021-02
2. Bifurcation structure of stationary solutions for a chemotaxis system with bistable growth;Japan Journal of Industrial and Applied Mathematics;2018-01-20
3. Standing pulse solutions for the FitzHugh-Nagumo equations;Japan Journal of Industrial and Applied Mathematics;2003-02
4. Existence and Instability of Neumann Layer Solutions for a 3-component Lotka–Volterra Model with Diffusion;Journal of Mathematical Analysis and Applications;2000-03
5. On Moving Spike Type Internal Layers in Nonlinear Singularly Perturbed Problems;Journal of Mathematical Analysis and Applications;1998-05
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3