Open AccessASYMPTOTIC DYNAMICS FOR REACTION DIFFUSION EQUATIONS IN UNBOUNDED DOMAIN
Author(s) -
Yongjun Li,
Jinying Wei
Publication year - 2018
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2018.1186
Subject(s) - mathematics , attractor , reaction–diffusion system , fixed point , domain (mathematical analysis) , mathematical analysis , dynamics (music) , exponential function , nonlinear system , exponential growth , physics , quantum mechanics , acoustics
In this paper we study the asymptotic dynamics for reaction diffusion equation defined in R. We will prove that the equation possesses a fixed point when the nonlinearity satisfies some restrictive conditions and then we show that the fixed point is an exponential attractor.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom