Asymptotic behavior of the solution for a diffusive system coupled with localized sources

被引：0

作者：

Li, FC ^{[1
]}

Xue, GH ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2005年 / 12卷 / 06期

关键词：

diffusive system; localized source; blow-up; global existence; blow-tip set; asymptotic behavior of the solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the positive solution of a diffusive system with localized sources: u(t) - Delta u = v(P)(x(0), t), v(t) - Delta v = u(q)(X-0, t) in a bounded domain, p, q >= 1, pq > 1. Under appropriate hypotheses, it is proved that the unique classical solution either exists globally or blows tip in finite time. The authors also obtain its blow-up set and asymptotic behavior.

引用

页码：719 / 730

页数：12

共 50 条

[1] Asymptotic behavior for a coupled Petrovsky and wave system with localized damping
Wu, Zhonglin
APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 : 442 - 449
[2] Global existence and asymptotic behavior for a coupled hyperbolic system with localized damping
Han, Xiaosen
Wang, Mingxin
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) : 965 - 986
[3] Asymptotic Behavior of Solution for Coupled Reaction Diffusion System by Order m
Maroua, Mebarki
Nabila, Barrouk
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
[4] Asymptotic Behavior of Solutions to Fast Diffusive Non-Newtonian Filtration Equations Coupled by Nonlinear Boundary Sources
Wang Zejia
Wang Shunti
Zhang Chengbin
ABSTRACT AND APPLIED ANALYSIS, 2013,
[5] The asymptotic behavior of blowup solution of localized nonlinear equation
Wang, LW
Chen, QY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 200 (02) : 315 - 321
[6] On the asymptotic behavior of a diffusive couple model
Hamaya, Y
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (06) : 679 - 683
[7] On the asymptotic behavior of a diffusive couple model
Hamaya, Yoshihiro
Nonlinear Analysis, Theory, Methods and Applications, 1999, 36 (06): : 679 - 683
[8] Asymptotic analysis to a parabolic system with weighted localized sources and inner absorptions
Linghua Kong
Xiaoliu Wang
Xueda Zhao
Archiv der Mathematik, 2012, 99 : 375 - 386
[9] Asymptotic analysis to a parabolic system with weighted localized sources and inner absorptions
Kong, Linghua
Wang, Xiaoliu
Zhao, Xueda
ARCHIV DER MATHEMATIK, 2012, 99 (04) : 375 - 386
[10] Asymptotic Behavior of the Coupled Nonlinear Schrodinger Lattice System
Li, Hengyan
Zhao, Xin
ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 5 →