Partly dissipative systems in uniformly local spaces

• Autorzy: Alexandre N. Carvalho , Tomasz Dlotko
• Języki publikacji: EN

Abstrakty

EN

We study the existence of attractors for partly dissipative systems in ℝⁿ. For these systems we prove the existence of global attractors with attraction properties and compactness in a slightly weaker topology than the topology of the phase space. We obtain abstract results extending the usual theory to encompass such two-topologies attractors. These results are applied to the FitzHugh-Nagumo equations in ℝⁿ and to Field-Noyes equations in ℝ. Some embeddings between uniformly local spaces are also proved.

Kategorie tematyczne

• 35K57: Reaction-diffusion equations
• 35B40: Asymptotic behavior of solutions
• 35K45: Initial value problems for second-order parabolic systems
• 35B41: Attractors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 100
• Numer: 2
• Strony: 221-242

Daty

wydano

2004

Twórcy

autor

Alexandre N. Carvalho

• Departamento de Matemática, Instituto de Ciências, Matemáticas e de Computação, Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos SP, Brazil

autor

Tomasz Dlotko

• Institute of Mathematics, Silesian University, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/cm100-2-6