Article
H^2-boundedness of the pullback attractor for the non-autonomous SIR equations with diffusion
Author/s | Anguiano Moreno, María |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2015 |
Deposit Date | 2024-05-02 |
Abstract | We prove some regularity results for the pullback attractor of a non- autonomous SIR model with diffusion in a bounded domain Ω of Rd where d ≥ 1. We show a regularity result for the unique solution of the prob- lem. We ... We prove some regularity results for the pullback attractor of a non- autonomous SIR model with diffusion in a bounded domain Ω of Rd where d ≥ 1. We show a regularity result for the unique solution of the prob- lem. We establish a general result about (H^2(Ω))^3-boundedness of invariant sets for the associate evolution process. Then, as a consequence, we de- duce that the pullback attractor of the non-autonomous system of SIR equations with diffusion is bounded in (H^2 (Ω))^3. |
Funding agencies | Fondo Europeo de Desarrollo Regional and Ministerio de Economía y Competitividad |
Project ID. | MTM2011-22411 |
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