Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

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

100%

Mel’nyk T. A., Klevtsovskiy A. V.

Open Mathematics

2017

tom 15

nr 1

1351-1370

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 solution is constructed and justified as the parameter ε → 0. Namely, we derive the limit problem (ε = 0) in the corresponding graph, define other terms of the asymptotic approximation and prove energetic and uniform pointwise estimates. These estimates allow us to observe the impact of the aneurysm on some properties of the solution.

Ograniczanie wyników

1 Open Mathematics

1 Klevtsovskiy A. V.

1 Mel’nyk T. A.

1 2017

Wyniki wyszukiwania

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