Jorge Ferreira

The Euler-Galerkin finite element method for a nonlocal coupled system of reaction-diffusion type

In this work, we study a system of parabolic equations with nonlocal nonlinearity of the following type { u t - a 1 ( l 1 ( u ) , l 2 ( v ) ) Δ u + λ 1 | u | p - 2 u = f 1 ( x , t ) in? ? × 0 , T v t - a 2 ( l 1 ( u ) , l 2 ( v ) ) Δ v + λ 2 | v | p - 2 v = f 2 ( x , t ) in? ? × 0 , T u ( x , t ) = v ( x , t ) = 0 on? ? ? × 0 , T u ( x , 0 ) = u 0 ( x ) , v ( x , 0 ) = v 0 ( x ) in? ? , where a 1 and a 2 are Lipschitz-continuous positive functions, l 1 and l 2 are continuous linear forms, λ 1 , λ 2 ? 0 and p ? 2 .We prove the convergence of a linearized Euler-Galerkin finite element method and obtain the order of convergence in the L 2 norm. Finally we implement and simulate the presented method in Matlabs environment.

Diversifying Mediterranean Tourism as a Strategy for Regional Resilience Enhancement

Mediterranean destinations that rely on sun and beach tourism—like the Algarve region, south of Portugal—are in a fragile situation. Challenges related to an aging population and climate change (e.g. extreme temperatures and sea level rise) will have consequences on the development of Mediterranean regions. In this context, sea level rise and beach area reduction could have a disruptive impact in these touristic regions. This chapter discusses how a strategy of regional resilience enhancement could allow for a transition and a differentiation from mainstream sun and beach touristic activities to alternative and sustainable types of tourism, such as nature-based and cultural-landscape touring. It outlines a touristic green infrastructure spatial planning approach to reinforce regional resilience as a competitive, cultural and systemic adaptation strategy, diversifying regional development basis overall.

Advances in Calcareous Nannofossil Biostratigraphy Based on Toarcian–Aalenian Sections in the Lusitanian Basin (Portugal)

We performed quantitative analyses of Early–Middle Jurassic calcareous nannofossil assemblages in two sections of the Lusitanian Basin (Portugal) for biostratigraphic purposes. The study was conducted on samples spanning the lower Toarcian to middle Aalenian strata in the Rabacal and Cabo Mondego sections. All samples were quantitatively studied for calcareous nannofossils. The last occurrence (LO) of one species and the first occurrences (FOs) of four species have been recorded in the lower to middle Toarcian section of Rabacal. For the upper Toarcian to middle Aalenian section at Cabo Mondego, the FOs of three species and the LOs of four species were recognized. The continuous calcareous nannofossil record allows both nannofossil biohorizons and zone boundaries to be calibrated with respect to the ammonite zones, and events across the Toarcian and Aalenian stages in the Lusitanian Basin to be precisely identified.