Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem

P Musolino, G Mishuris - Philosophical Transactions of …, 2022 - royalsocietypublishing.org
We study the asymptotic behaviour of solutions of a boundary value problem for the Laplace
equation in a perforated domain in R n, n≥ 3, with a (nonlinear) Robin boundary condition …

[HTML][HTML] Existence results for a nonlinear transmission problem

M Dalla Riva, G Mishuris - Journal of Mathematical Analysis and …, 2015 - Elsevier
Let Ω o and Ω i be open bounded regular subsets of R n such that the closure of Ω i is
contained in Ω o. Let fo be a regular function on∂ Ω o and let F and G be continuous …

Existence of solutions for a singularly perturbed nonlinear non-autonomous transmission problem

R Molinarolo - arXiv preprint arXiv:2211.12533, 2022 - arxiv.org
In this paper we analyse a boundary value problem for the Laplace equation with a
nonlinear non-autonomous transmission conditions on the boundary of a small inclusion of …

Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem

M Dalla Riva, R Molinarolo, P Musolino - Nonlinear Analysis, 2020 - Elsevier
We consider the Laplace equation in a domain of R n, n≥ 3, with a small inclusion of size ϵ.
On the boundary of the inclusion we define a nonlinear nonautonomous transmission …

Universal transmission conditions for thin reactive heat-conducting interphases

W Miszuris, A Öchsner - Continuum Mechanics and Thermodynamics, 2013 - Springer
New imperfect transmission conditions for a thin nonlinear heat-resistant reactive interphase
situated between two different materials are evaluated. The transmission conditions are …

A nonlinear problem for the Laplace equation with a degenerating Robin condition

P Musolino, G Mishuris - Mathematical Methods in the Applied …, 2018 - Wiley Online Library
We investigate the behavior of the solutions of a mixed problem for the Laplace equation in
a domain Ω. On a part of the boundary∂ Ω, we consider a Neumann condition, whereas in …

Asymptotic analysis a perturbed Robin problem in a planar domain

P Musolino, M Dutko, G Mishuris - arXiv preprint arXiv:2301.11150, 2023 - arxiv.org
We consider a perforated domain $\Omega (\epsilon) $ of $\mathbb {R}^ 2$ with a small
hole of size $\epsilon $ and we study the behavior of the solution of a mixed Neumann …

Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem

MD Riva, R Molinarolo, P Musolino - arXiv preprint arXiv:2211.12818, 2022 - arxiv.org
We consider the Laplace equation in a domain of $\mathbb {R}^ n $, $ n\ge 3$, with a small
inclusion of size $\epsilon $. On the boundary of the inclusion we define a nonlinear …

Transmission conditions for thin curvilinear close to circular heat-resistant interphases in composite ceramics

D Andreeva, W Miszuris, A Zagnetko - Journal of the European Ceramic …, 2016 - Elsevier
This paper considers the problem of heat transfer in a composite ceramic material where the
structural elements are bonded to the matrix via a thin heat resistant adhesive layer. The …

Numerical method for solving joint thermo-diffusive problems in an infinite combined domain with thin resistant interphase

M Wrobel, G Mishuris - The International Journal of …, 2009 - themultiphysicsjournal.com
This work deals with a class of Boundary Value Problems describing jointthermo-diffussive
fields in an infinite combined domain, which consists oftwo subdomains, matched by a thin …