ABSTRACT A mathematical model and a variational method of computation of optimal
parameters for transdermal (hypodermic) medicine delivery by microneedle systems are …

In this paper, we study the asymptotic behavior of solutions u ε of the elliptic variational
inequality for the Laplace operator in domains periodically perforated by balls with radius of …

Results on the convergence of sequences of solutions of non-linear equations and
variational inequalities for obstacle problems are proved. The variational inequalities and …

We study the homogenization of obstacle problems in Orlicz-Sobolev spaces for a wide
class of monotone operators (possibly degenerate or singular) of the $ p (\cdot) $-Laplacian …

Mathematical modeling is an essential modern tool for solving scientific and engineering
problems. Mathematical and numerical modeling plays a significant role in understanding …

Mathematical modeling is an essential modern tool for solving scientific and engineering
problems. Mathematical and numerical modeling plays a significant role in understanding …

Microneedle systems are compiled by a sufficiently large number of microneedles which are
mounted on a flat base and used for drugs injection in modern medicine. Such systems are …

La modélisation mathématique est un outil moderne essentiel pour résoudre les problèmes
scientifiques et d'ingénierie. La modélisation mathématique et numérique joue un rôle …

The problem of modeling wave and heat processes in a cylinder composed of alternating
layers with different characteristics is considered. Using the homogenization theory, this …

В настоящей работе представлен новый вариационный метод моделирования и
вычисления параметров трансдермальных (подкожных) инъекций лекарств при …