A fundamental challenge in mathematical modelling is to find a model that embodies the
essential underlying physics of a system, while at the same time being simple enough to …

This article revisits the approximation problem of systems of nonlinear delay differential
equations (DDEs) by a set of ordinary differential equations (ODEs). We work in Hilbert …

We study a two-layer energy balance model of an extensive green roof. The model
represents the evolution of the temperature in both the vegetation and the substrate layers …

A collection on ‘Climate dynamics: multiple scales and memory effects’ | Proceedings of the
Royal Society A: Mathematical, Physical and Engineering Sciences logo logo Skip main …

Nonlinear optimal control problems in Hilbert spaces are considered for which we derive
approximation theorems for Galerkin approximations. Approximation theorems are available …

A special place in climatology is taken by the so-called conceptual climate models. These
relatively simple sets of differential equations can successfully describe single mechanisms …

We consider a coupled model surface-deep ocean effect, where an Energy Balance Model
(EBM) is used for modelling the surface temperature and a two-dimensional heat equation …

The aim of this article is to fill part of the existing gap between the mathematical modeling of
a green roof and its computational treatment, focusing on the mathematical analysis. We first …

In the present paper we consider a boundary homogenization problem for the Poisson's
equation in a bounded domain and with a part of the boundary conditions of highly …

In this work, we propose a mathematical model representing the thermal interaction between
vegetation cover and the soil underneath it. This model consists of a one-dimensional …