Articolo in rivista

Effective geometry of a white dwarf

Near-critical reflection of internal waves

Internal waves describe the (linear) response of an incompressible sta- bly stratified fluid to small perturbations. The inclination of their group velocity with respect to the vertical is completely determined by their frequency. Therefore the reflection on a sloping boundary cannot follow…

Probing structures in channel flow through SO(3) and SO(2) decomposition

Pointwise estimates for polynomial approximation on the semiaxis

We state some pointwise estimates for the rate of weighted approximation of a continuous function on the semiaxis by polynomials. Furthermore we derive matching converse results and estimates involving the derivatives of the approximating polynomials. Using special weighted moduli of continuity, we…

Penetration of the blood-brain barrier and the anti-tumour effect of a novel PLGA-lysoGM1/DOX micelle drug delivery system

Effective treatment of glioma and other central nervous system (CNS) diseases is hindered by the presence of the blood-brain barrier (BBB). A novel nano-delivery vehicle system composed of PLGA-lysoGM1/DOX micelles was developed to cross the BBB for CNS treatment. We have shown that doxorubicin (…

A mathematical model of flow in a liquid-filled viscoelastic tube

A center manifold technique for tracing viscous waves

Nonlocal PageRank

In this work we introduce and study a nonlocal version of the PageRank. In our approach, the random walker explores the graph using longer excursions than just moving between neighboring nodes. As a result, the corresponding ranking of the nodes, which takes into account a long-range interaction…

Volterra discrete equations: summability of the fundamental matrix.

Conditions are proven which assure the summability of the first difference of the fundamental matrix of nonconvolution Volterra discrete equations. These conditions are applied to the \st analysis of some linear methods for solving Volterra integral equations of nonconvolution type.

Mathematical modeling of vehicular traffic: A discrete kinetic theory approach

Following some general ideas on the discrete kinetic and stochastic game theory proposed by one of the authors in a previous work, this paper develops a discrete velocity mathematical model for vehicular traffic along a one-way road. The kinetic scale is chosen because, unlike the macroscopic one,…