Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Mel'nyk, Taras"'
Autor:
Mel'nyk, Taras, Rohde, Christian
The aim of the paper is to construct and justify asymptotic approximations for solutions to quasilinear convection-diffusion problems with a predominance of nonlinear convective flow in a thin cylinder, where an inhomogeneous nonlinear Robin-type bou
Externí odkaz:
http://arxiv.org/abs/2404.07538
Autor:
Mel'nyk, Taras, Rohde, Christian
Publikováno v:
Asymptotic Analysis, Vol. 137 (2024) pp. 27-52
This article completes the study of the influence of the intensity parameter $\alpha$ in the boundary condition $\varepsilon \partial_{\boldsymbol{\nu}_\varepsilon} u_\varepsilon - u_\varepsilon \, \overrightarrow{V_\varepsilon}\boldsymbol{\cdot}\bol
Externí odkaz:
http://arxiv.org/abs/2307.02387
Autor:
Mel'nyk, Taras, Rohde, Christian
Publikováno v:
Journal of Mathematical Analysis and Applications, Volume 529, Issue 1, 2024, 127587
We consider time-dependent convection-diffusion problems with high P\'eclet number of order $\mathcal{O}(\varepsilon^{-1})$ in thin three-dimensional graph-like networks consisting of cylinders that are interconnected by small domains (nodes) with di
Externí odkaz:
http://arxiv.org/abs/2302.10105
Autor:
Mel'nyk, Taras, Rohde, Christian
Publikováno v:
Analysis and Applications, (2024) Vol. 22, no. 05, pp. 833-879
We consider for a small parameter $\varepsilon >0$ a parabolic convection-diffusion problem with P\'eclet number of order $\mathcal{O}(\varepsilon^{-1})$ in a three-dimensional graph-like junction consisting of thin curvilinear cylinders with radii o
Externí odkaz:
http://arxiv.org/abs/2208.05812
Publikováno v:
Asymptotic Analysis, 1 Jan. 2022 : 1 - 26
A steady-state convection-diffusion problem with a small diffusion of order $\mathcal{O}(\varepsilon)$ is considered in a thin three-dimensional graph-like junction consisting of thin cylinders connected through a domain (node) of diameter $\mathcal{
Externí odkaz:
http://arxiv.org/abs/2112.15525
Autor:
Mel'nyk, Taras, Rohde, Christian
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 January 2024 529(1)
Autor:
Mel'nyk, Taras1 (AUTHOR) Taras.Melnyk@mathematik.uni-stuttgart.de, Rohde, Christian1 (AUTHOR) christian.rohde@mathematik.uni-stuttgart.de
Publikováno v:
Asymptotic Analysis. 2024, Vol. 137 Issue 1/2, p27-52. 26p.
Autor:
Mel'nyk, Taras, Vasylyeva, Nataliya
Publikováno v:
Nonlinear Differ. Equ. Appl., Vol. 27, No. 48 (2020)
We analyze the contact Hele-Shaw problem with zero surface tension of a free boundary in a thin domain $\Omega^{\varepsilon}(t).$ Under suitable conditions on the given data, the one-valued local classical solvability of the problem for each fixed va
Externí odkaz:
http://arxiv.org/abs/2003.08675
Autor:
Mel'nyk, Taras A.
Publikováno v:
Analysis and Applications, 2021, Vol. 19, No. 5, pp. 875--939
A spectral problem is considered in a thin $3D$ graph-like junction that consists of three thin curvilinear cylinders that are joined through a domain (node) of the diameter $\mathcal{O}(\varepsilon),$ where $\varepsilon$ is a small parameter. A conc
Externí odkaz:
http://arxiv.org/abs/2001.01224