Asymptotic approximation for the solution to a semi-linear elliptic problem in a thin aneurysm-type domain

A semi-linear boundary-value problem with nonlinear Robin boundary conditions is considered in a thin 3D aneurysm-type domain that consists of thin curvilinear cylinders that are joined through an aneurysm of diameter 𝓞(ε). Using the multi-scale analysis, the asymptotic approximation for the solutio...

Full description

Bibliographic Details
Main Authors: Mel’nyk Taras A., Klevtsovskiy Arsen V.
Format: Article
Language:English
Published: De Gruyter 2017-11-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0114/math-2017-0114.xml?format=INT