学术期刊
切换导航
首 页
文 章
期 刊
投 稿
预 印
会 议
书 籍
新 闻
合 作
我 们
按学科分类
Journals by Subject
按期刊分类
Journals by Title
核心OA期刊
Core OA Journal
数学与物理
Math & Physics
化学与材料
Chemistry & Materials
生命科学
Life Sciences
医药卫生
Medicine & Health
信息通讯
Information & Communication
工程技术
Engineering & Technology
地球与环境
Earth & Environment
经济与管理
Economics & Management
人文社科
Humanities & Social Sciences
合作期刊
Cooperation Journals
首页
数学与物理
理论数学
Vol. 6 No. 6 (November 2016)
期刊菜单
最新文章
历史文章
检索
领域
编委
投稿须知
文章处理费
最新文章
历史文章
检索
领域
编委
投稿须知
文章处理费
广义Gray-Scott模型非常值正稳态解的不存在性
Nonexistence of Positive Nonconstant Stationary Solutions for Generalized Gray-Scott Model
DOI:
10.12677/PM.2016.66066
,
PDF
,
HTML
,
XML
,
被引量
下载: 2,012
浏览: 4,876
科研立项经费支持
作者:
杨 玲
,
李 莹
:大连民族大学理学院,辽宁 大连
关键词:
广义Gray-Scott模型
;
稳态解
;
不存在性
;
Generalized Gray-Scott Model
;
Stationary Solution
;
Nonexistence
摘要:
本文给出了广义Gray-Scott模型不存在非常值正稳态解的若干充分条件。
Abstract:
In his paper, some sufficient conditions for nonexistence of positive nonconstant stationary solutions for generalized Gray-Scott model are given.
文章引用:
杨玲, 李莹. 广义Gray-Scott模型非常值正稳态解的不存在性[J]. 理论数学, 2016, 6(6): 480-485.
http://dx.doi.org/10.12677/PM.2016.66066
参考文献
[
1
]
Hale, J., Peletier, L.A. and Troy, W.C. (2000) Exact Homoclinic and Heteroclinic Solutions of the Gray-Scott Model for Autocalysis. SIAM Journalon Applied Mathematics, 61,102-130. https:/doi.org/10.1137/S0036139998334913
[
2
]
Gray, P. and Scott, S.K. (1983) Autocatalytic Reactions in the Isothermal Continuous Stirred Tank Reactor: Isolas and Other Forms of Multistability. Chemical Engineering Science, 38, 29-43. https:/doi.org/10.1016/0009-2509(83)80132-8
[
3
]
Gray, P. and Scott, S.K. (1984) Autocatalytic Reaction in the CSTR: Oscillations and Instabilities in the System . Chemical Engineering Science, 39, 1087-1097. https:/doi.org/10.1016/0009-2509(84)87017-7
[
4
]
Ai, S.B. (2004) Homoclinic Solutions to the Gray-Scott Model. Applied Mathematics Letters, 17, 1357-1361. https:/doi.org/10.1016/j.am1.2004.02.004
[
5
]
Kolokolnikova, T., Warda, M.J. and Wei, J.C. (2005) The Existence and Stability of Spike Equilibria in the One-Di- mensional Gray-Scott Model on a Finite Domain. Applied Mathematics Letters, 18, 951-956. https:/doi.org/10.1016/j.aml.2004.06.024
[
6
]
Muratov, C.B. and Osipov, V.V.(2000)Static Spike Autosolutions in the Gray-Scott Model. Journal of Physics A-Mathematical and General, 33, 8893-8916. https:/doi.org/10.1088/0305-4470/33/48/321
[
7
]
Mcgough, J.S. and Kiley, K. (2004) Pattern Formation in the Gray-Scott Model. Nonlinear Analysis: Real World Applications, 5, 105-121. https:/doi.org/10.1016/S1468-1218(03)00020-8
[
8
]
Peng, R. and Wang, M.X. (2007) On Pattern Formation in the Gray-Scott Model. Science in China Series A: Mathematics, 50, 377-386. https:/doi.org/10.1007/s11425-007-0001-z
[
9
]
Peng, R. and Wang, M.X. (2009) Some Nonexistence Results for Nonconstant Stationary Solutions to the Gray-Scott Model in a Bounded Domain. Applied Mathematics Letters, 22,569-573. https:/doi.org/10.1016/j.aml.2008.06.032
[
10
]
Wang, M.X. (2003) Non-Constant Positive Steady States of the Sel’kov Model. Journal of Differential Equations, 190, 600-620. https:/doi.org/10.1016/S0022-0396(02)00100-6
[
11
]
Peng, R. (2007) Qualitative Analysis of Steady States to the Sel’kov Model. Journal of Differential Equations, 241, 386-398. https:/doi.org/10.1016/j.jde.2007.06.005
[
12
]
Ghergu, M. (2008) Non-Constant Steady-State Solutions for Brusselator Type Systems. Nonlinearity, 21, 2331-2345. https:/doi.org/10.1088/0951-7715/21/10/007
[
13
]
Schnakenberg, J. (1979) Simple Chemical Reaction Systems with Limit Cycle Behavior. Journal of Theoretical Biology, 81, 389-400. https:/doi.org/10.1016/0022-5193(79)90042-0
[
14
]
Lou, Y. and Ni, W.M. (1996) Diffusion, Self-Diffusion and Cross-Diffusion. Journal of Differential Equations, 131, 79-131. https:/doi.org/10.1006/jdeq.1996.0157
投稿
为你推荐
友情链接
科研出版社
开放图书馆