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A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics
- Source :
- Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual), Universidade de São Paulo (USP), instacron:USP
- Publication Year :
- 2018
-
Abstract
- The purpose of this paper is to give a characterization of the structure of non-autonomous attractors of the problem $u_t= u_{xx} + \lambda u - \beta(t)u^3$ when the parameter $\lambda > 0$ varies. Also, we answer a question proposed in [11], concerning the complete description of the structure of the pullback attractor of the problem when $1<br />Comment: 32 pages, 04 figures
- Subjects :
- Pure mathematics
Applied Mathematics
010102 general mathematics
Scalar (mathematics)
General Physics and Astronomy
Statistical and Nonlinear Physics
Dynamical Systems (math.DS)
Pullback attractor
Lambda
01 natural sciences
Parabolic partial differential equation
35K91 (35B32 35B41 37L30)
010101 applied mathematics
Mathematics - Analysis of PDEs
Bounded function
Attractor
FOS: Mathematics
Parabolic problem
Dissipative system
0101 mathematics
Mathematics - Dynamical Systems
Mathematical Physics
Analysis of PDEs (math.AP)
Mathematics
ATRATORES
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual), Universidade de São Paulo (USP), instacron:USP
- Accession number :
- edsair.doi.dedup.....4a833f9442211a41b8639bf9d6453e09