[BOOK][B] Nonlinear reaction-diffusion processes for nanocomposites: anomalous improved homogenization
JI Díaz, D Gómez-Castro, TA Shaposhnikova - 2021 - books.google.com
The behavior of materials at the nanoscale is a key aspect of modern nanoscience and
nanotechnology. This book presents rigorous mathematical techniques showing that some …
nanotechnology. This book presents rigorous mathematical techniques showing that some …
Modeling and optimization of microneedle systems
GV Sandrakov, SI Lyashko, ES Bondar… - Journal of Automation …, 2019 - dl.begellhouse.com
ABSTRACT A mathematical model and a variational method of computation of optimal
parameters for transdermal (hypodermic) medicine delivery by microneedle systems are …
parameters for transdermal (hypodermic) medicine delivery by microneedle systems are …
[PDF][PDF] Change of homogenized absorption term in diffusion processes with reaction on the boundary of periodically distributed asymmetric particles of critical size
JI Diaz, D Gomez-Castro, TA Shaposhnikova… - 2017 - digital.library.txstate.edu
The main objective of this article is to get a complete characterization of the homogenized
global absorption term, and to give a rigorous proof of the convergence, in a class of …
global absorption term, and to give a rigorous proof of the convergence, in a class of …
Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis “nano-composite” membranes
One of the main goals of this paper is to extend some of the mathematical techniques of
some previous papers by the authors showing that some very useful phenomenological …
some previous papers by the authors showing that some very useful phenomenological …
Homogenization of a boundary-value problem in a domain perforated by cavities of arbitrary shape with a general nonlinear boundary condition on their boundaries …
MN Zubova, TA Shaposhnikova - Journal of Mathematical Sciences, 2020 - Springer
A homogenized model is constructed (with rigorous justification) for a boundary-value
problem for the Poisson equation in a periodically perforated domain with a nonlinear Robin …
problem for the Poisson equation in a periodically perforated domain with a nonlinear Robin …
On p-Laplacian Reaction–Diffusion Problems with Dynamical Boundary Conditions in Perforated Media
M Anguiano - Mediterranean Journal of Mathematics, 2023 - Springer
We study the effect of the p-Laplacian operator in the modelling of the heat equation through
a porous medium Λ ϵ⊂ RN (N≥ 2). The case of p= 2 was recently published in Anguiano …
a porous medium Λ ϵ⊂ RN (N≥ 2). The case of p= 2 was recently published in Anguiano …
[PDF][PDF] Homogenization of variational inequality for the Laplace operator with nonlinear constraint on the flow in a domain perforated by arbitrary shaped sets. Critical …
TA Shaposhnikova, MN Zubova - J. Math. Sci, 2018 - researchgate.net
For the variational inequality with the Laplace operator we construct a homogenized model
with critical values of parameters. For this purpose we use special test functions as in [1, 2] …
with critical values of parameters. For this purpose we use special test functions as in [1, 2] …
Characterizing the strange term in critical size homogenization: Quasilinear equations with a general microscopic boundary condition
The aim of this paper is to consider the asymptotic behavior of boundary value problems in n-
dimensional domains with periodically placed particles, with a general microscopic …
dimensional domains with periodically placed particles, with a general microscopic …
Shape differentiation of a steady-state reaction-diffusion problem arising in chemical engineering: the case of non-smooth kinetic with dead core
D Gómez-Castro - arxiv preprint arxiv:1708.01041, 2017 - arxiv.org
In this paper we consider an extension of the results in shape differentiation of semilinear
equations with smooth nonlinearity presented in JI D\'iaz and D. G\'omez-Castro: An …
equations with smooth nonlinearity presented in JI D\'iaz and D. G\'omez-Castro: An …
Modeling of configurations formed when using microneedle systems
GV Sandrakov, SI Lyashko, ES Bondar… - … of Automation and …, 2020 - dl.begellhouse.com
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 …
mounted on a flat base and used for drugs injection in modern medicine. Such systems are …