Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms

In this work we study a system of parabolic reaction-diffusion equations which are coupled not only through the reaction terms but also by way of nonlocal diffusivity functions. For the associated initial problem, endowed with homogeneous Dirichlet or Neumann boundary conditions, we prove the existence of global solutions. We also prove the existence of local solutions but with less assumptions on the boundedness of the nonlocal terms. The uniqueness result is established next and then we find the conditions under which the existence of strong solutions is assured. We establish several bow-up results for the strong solutions to our problem and we give a criterium for the convergence of these solutions towards a homogeneous state.CAPES [BEX 2478-12-8]; MEC/MCTI/CAPES/CNPq/FAPs, Brazil [71/2013, 88881.030388/2013-01]; Fundacao para a Ciencia e a Tecnologia, Portugal [UID/MAT/04561/2013-2015]info:eu-repo/semantics/publishedVersio

Inclusion and accessibility: contribution to Sustainable Schools National Pro gram

[Resumo] O presente artigo busca fazer uma breve reflexão sobre o Programa Nacional Escolas Sustentáveis (PNES), proposto pelo governo brasileiro através do Ministério da Educação (MEC) e buscar elementos de conexão entre os conceitos de sustentabilidade, acessibilidade e direitos humanos, com enfoque na garantia de direitos das pessoas com deficiência. Para isso, serão abordadas questões históricas e também destacados alguns eventos que buscam esta aproximação, remetendo a desafios aos processos educativos na construção de uma educação ambiental que dialogue com a diversidade. É possível assim, oferecer algumas pistas para pensar sociedades sustentá veis em uma perspectiva inclusiva e na direção da universalização de direitos a todas as pessoas[Abstract] This article offers a brief reflection about National Program for Sustainable Schools (NHSP), proposed by the Australian Government through the Ministry of Education (MEC) and seek connecting factors between the concepts of sustainability, accessibility and human rights, with a focus on ensuring rights of people with disabilities. Therefore, historical issues will be addressed and also some events will be highlighted in search of this approach, referring to challenges to educational processes in the construction of environmental education that dialogues with a diversidade. This may, offer some clues to think sustainable societies in an inclusive perspective and towards the universal rights of all people