[图书][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 …
Existence, uniqueness and homogenization of nonlinear parabolic problems with dynamical boundary conditions in perforated media
M Anguiano - Mediterranean Journal of Mathematics, 2020 - Springer
We consider a nonlinear parabolic problem with nonlinear dynamical boundary conditions
of pure-reactive type in a media perforated by periodically distributed holes of size ε ε. The …
of pure-reactive type in a media perforated by periodically distributed holes of size ε ε. The …
Unexpected regionally negative solutions of the homogenization of Poisson equation with dynamic unilateral boundary conditions: critical symmetric particles
JI Díaz, AV Podolskiy, TA Shaposhnikova - Revista de la Real Academia …, 2024 - Springer
We obtain the homogenized problem associated with the Poisson equation in a domain
perforated by" tiny" balls (or in a domain defined as the exterior to a periodic set of very small …
perforated by" tiny" balls (or in a domain defined as the exterior to a periodic set of very small …
A nonlocal memory strange term arising in the critical scale homogenisation of a diffusion equation with a dynamic boundary condition
JI Díaz, D Gómez-Castro, TA Shaposhnikova… - arXiv preprint arXiv …, 2019 - arxiv.org
Our main interest in this paper is the study of homogenised limit of a parabolic equation with
a nonlinear dynamic boundary condition of the micro-scale model set on a domain with …
a nonlinear dynamic boundary condition of the micro-scale model set on a domain with …
Aperiodical isoperimetric planar homogenization with critical diameter: universal non-local strange term for a dynamical unilateral boundary condition
JI Díaz, TA Shaposhnikova, AV Podolskiy - Doklady Mathematics, 2024 - Springer
We study the asymptotic behavior of the solution to the diffusion equation in a planar
domain, perforated by tiny sets of different shapes with a constant perimeter and a uniformly …
domain, perforated by tiny sets of different shapes with a constant perimeter and a uniformly …
Homogenization of a parabolic equation in a perforated domain with a unilateral dynamic boundary condition: critical case
AV Podolskiy, TA Shaposhnikova - Contemporary Mathematics …, 2022 - journals.rudn.ru
In this paper, we study the homogenization of a parabolic equation given in a domain
perforated by''tiny''balls. On the boundary of these perforations, a unilateral dynamic …
perforated by''tiny''balls. On the boundary of these perforations, a unilateral dynamic …
[PDF][PDF] Unexpected regionally negative solutions of the homogenized problem associated with the Poisson equation and dynamic unilateral boundary conditions: the …
JI Dıaz, AV Podolskiy… - Revista de la Real …, 2023 - blogs.mat.ucm.es
We obtain the homogenized problem associate to the Poisson equation in a domain
perforated by” tiny” balls (or in a domain defined as the exterior to a periodic set of very small …
perforated by” tiny” balls (or in a domain defined as the exterior to a periodic set of very small …
Homogenization of a nonlinear reaction‐diffusion problem in a perforated domain with different size obstacles
H Ma, Y Tang - ZAMM‐Journal of Applied Mathematics and …, 2024 - Wiley Online Library
In this paper we consider a nonlinear reaction‐diffusion problem with low diffusion scales of
order (ε δ (ε)) 2 (ϵδ(ϵ))^2 in a porous domain which periodically perforated by two different …
order (ε δ (ε)) 2 (ϵδ(ϵ))^2 in a porous domain which periodically perforated by two different …
Reaction–diffusion equation on thin porous media
M Anguiano - Bulletin of the Malaysian Mathematical Sciences …, 2021 - Springer
We consider a reaction–diffusion equation on a 3D thin porous media of thickness ε ε which
is perforated by periodically distributed cylinders of size ε ε. On the boundary of the …
is perforated by periodically distributed cylinders of size ε ε. On the boundary of the …
New unexpected limit operators for homogenizing optimal control parabolic problems with dynamic reaction flow on the boundary of critically scaled particles
JI Díaz, AV Podolskiy, TA Shaposhnikova - arXiv preprint arXiv …, 2024 - arxiv.org
arXiv:2406.18712v1 [math.AP] 26 Jun 2024 Page 1 arXiv:2406.18712v1 [math.AP] 26 Jun 2024
New unexpected limit operators for homogenizing optimal control parabolic problems with …
New unexpected limit operators for homogenizing optimal control parabolic problems with …