Supply of nutrients to tissues is carried out by capillaries. Capillary patterns are mimicked by endothelial cells cultured on basement membrane proteins. On this surface, single randomly dispersed cells organize to form a two dimensional network and later fold up creating a net of...

In this paper a non-isothermal model to simulate some injection moulding processes used to fabricate composite materials is deduced. The model allows the solid constituent in both the dry and the wet region to deform during infiltration. The dry porous material is assumed to behave elastically,...

We underline some topological properties of set-indexing collections in order to give new assumptions for set-indexed stochastic processes. We show that any of these topological assumptions is equivalent to another one already used in the framework of set-indexed process. These may replace usual...

It is proved that every bounded set in a weakly compactly generated Banach space contains a subset minimal for the Hausdorff measure of noncompactness whose measure is the same as the measure of the whole set. Various coefficients related to minimal sets are also studied

In this paper some time-independent nonlinear Schrödinger equation with variable parameters is considered. Sufficient conditions for the continuous dependence of solutions on perturbations are given. The proofs of the main results are based on some variational methods

The aim of this chapter is to provide a summary of the main results of the porous media theory that can be obtained rigorously moving from the principles of continuum mechanics. As a by product, we make an effort to put in an unique framework equations and notations that are used in the...

For a ring , denote by Spec(, ) the -spectrum of the , -invariant of strongly uniform right --modules. Recent realization techniques of Goodearl and Wehrung show that Spec(ℵ, ) is full for a suitable von Neumann regular algebra , but the techniques do not extend to cardinals ℵ. By a direct...

This paper is based on a uniform theory of factorization and transformation of -th ( ≥ 2) order ordinary differential equations (ODEs) that are used to constructively solve problems of integrability. This method of factorization of differential operators is developed not only in a base...

In this work we consider a semilinear system of reaction-diffusion equations, where the nonlinear reaction term might not be locally Lipschitz. We deduce a maximum principle for such a situation, allowing us to extend previous results concerning the number of solutions of this problem and their...

We consider a pair of neurons modelled by Fitzhugh-Nagumo equations with electrical coupling. When the neurons are identical, we show how the symmetry of the system leads to the coexistence multiple, stable periodic orbits. As the coupling between the neurons is strengthened, these periodic...