| |
|
We propose a novel in silico model for computing drug release from multi-layer capsules. The diffusion problem in such heterogeneous layer-by-layer composite medium is described by a system of coupled partial differential equations, which we solve analytically using separation of variables. In… |
| |
|
With road traffic in Europe forecast to increase, strategies are needed to keep transportation sector growth within the bounds imposed by a sustainable development. Research is contributing through a large number of projects dealing with transport-environment interactions. This paper reviews… |
| |
|
A simple and efficient numerical method for solving the advection equation on the spherical surface is presented. To overcome the well-known pole problem related to the polar singularity of spherical
coordinates, the space discretization is performed on a geodesic grid derived by a uniform… |
| |
|
Macrophages derived from monocyte precursors undergo specific polarization processes which are influenced by the local tissue environment: classically-activated (M1) macrophages, with a pro-inflammatory activity and a role of effector cells in Th1 cellular immune responses, and alternatively-… |
| |
|
The Infrared Atmospheric Sounding Interferometer (IASI) has 8461 potential channels to be exploited for inversions of geophysical parameters. In this paper we analyse two different strategies for their reduction. The first one looks for suitable spectral ranges where the inverse problem is as… |
| |
|
|
| |
|
This paper is concerned with diffusive approximations of some numerical schemes for several linear (or weakly nonlinear) kinetic models which are motivated by wide-range applications, including radiative transfer or neutron transport, run-and-tumble models of chemotaxis dynamics, and Vlasov-Fokker-… |
| |
|
|
| |
|
|
| |
|
Let X={X1,X2,...,Xm} be a system of smooth vector fields in R^n satisfying the Hörmander's finite rank condition. We prove the following Sobolev inequality with reciprocal weights in Carnot-Carathéodory space G
associated to system X
(1?BRK(x)dx?BR|u|tK(x)dx)1/t<=CR??1?BR1K(x)dx?BR|Xu|2K(x)dx??… |
