3 papers
math.AP2021
Coupled local/nonlocal models in thin domains
Bruna C. dos Santos, Sergio M. Oliva, Julio D. Rossi
In this paper, we analyze a model composed by coupled local and nonlocal diffusion equations acting in different subdomains. We consider the limit case when one of the subdomains i…
math.AP2020
Time-scale analysis non-local diffusion systems, applied to disease models
Marcone C. Pereira, Sergio Oliva, Larissa M. Sartori
The objective of the present paper is to use the well known Ross-Macdonald models as a prototype, incorporating spatial movements, identifying different times scales and proving a…
math.AP2020
A local/nonlocal diffusion model
Bruna C. dos Santos, Sergio M. Oliva, Julio D. Rossi
In this paper, we study some qualitative properties for an evolution problem that combines local and nonlocal diffusion operators acting in two different subdomains and, coupled in…