Influence of the node on the asymptotic behaviour of the solution to a semilinear parabolic problem in a thin graph-like junction-Reference-Cited by-同舟云学术

Influence of the node on the asymptotic behaviour of the solution to a semilinear parabolic problem in a thin graph-like junction

Published:2019-05-07 Issue:1-2 Volume:113 Page:87-121
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Klevtsovskiy Arsen V.¹,Mel’nyk Taras A.²

Affiliation:

1. National Pedagogical Dragomanov University, Pyrogova st., 9, Kyiv 01601, Ukraine. E-mail: avklevtsovskiy@gmail.com

2. Department of Mathematical Physics, Taras Shevchenko National University of Kyiv, Volodymyrska st., 64/13, Kyiv 01601, Ukraine. E-mail: melnyk@imath.kiev.ua

Publisher

IOS Press

Subject

General Mathematics

Reference25 articles.

1. F. Ali-Mehmeti, Nonlinear Waves in Networks, Math. Research., Vol. 91, Academie-Verlag, Berlin, 1994.

2. Quantum percolation and ballistic conductance on a lattice of wires;Avishai;Phys. Rev. B.,1992

3. Asymptotic analysis of a Bingham fluid in a thin T-like shaped structure;Bunoiu;J. Math. Pures Appl.,2019

4. Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure;Gaudiello;Commun. Contemp. Math.,2016

5. A.M. Il’in, Matching of Asymptotic Expansions of Solutions of Boundary Value Problems, Translations of Mathematical Monographs, Vol. 102, American Mathematical Society, Providence, RI, 1992.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Asymptotic expansion for convection-dominated transport in a thin graph-like junction;Analysis and Applications;2024-03-16

2. Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: Strong boundary interactions;Asymptotic Analysis;2023-11-10

3. Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node;Analysis and Applications;2020-12-26