14 citations · 24 across the 5 of their papers we have counts for
5 papers
Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction
Taras A. Mel'nyk, Arsen V. Klevtsovskiy
A steady-state convection-diffusion problem with a small diffusion of order is considered in a thin three-dimensional graph-like junction consisting of t…
Asymptotic approximation for the solution to a semi-linear parabolic problem in a thin star-shaped junction
Arsen V. Klevtsovskiy, Taras A. Mel'nyk
A semi-linear parabolic problem is considered in a thin star-shaped junction that consists of several thin curvilinear cylinders that are joined through a domain (node) of dia…
Asymptotic approximations of the solution to a boundary-value problem in a thin aneurysm-type domain
A. V. Klevtsovskiy, T. A. Mel'nyk
A nonuniform Neumann boundary-value problem is considered for the Poisson equation in a thin aneurysm-type domain that consists of thin curvilinear cylinders that are joined t…
Asymptotic analysis of a boundary-value problem in a thin cascade domain with a local joint
A. V. Klevtsovskiy, T. A. Mel'nyk
A nonuniform Neumann boundary-value problem is considered for the Poisson equation in a thin domain coinciding with two thin rectangles connected through a joint of…
Asymptotic expansion for a solution of an elliptic boundary-value problem in a thin cascade domain
Arsen V. Klevtsovskiy, Taras A. Mel'nyk
Asymptotic expansion is constructed and justified for the solution to a nonuniform Neumann boundary-value problem for the Poisson equation with the right-hand side that depends bot…