Abstract
We consider a nonuniform Neumann boundary value problem for the Poisson equation in a thin 3D aneurysm type domain consisting of thin curvilinear cylinders joined through an aneurysm of diameter ϐ(e). We develop a rigorous procedure for constructing a complete asymptotic expansion of the solution as e → 0. We prove energy and uniform pointwise estimates, which allows us to observe the impact of the aneurysm. Bibliography: 21 titles. Illustrations: 5 figures.
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