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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 6, paper published in the English version journal (Mi zvmmf11778)  

Papers published in the English version of the journal

Application of asymptotic methods to the question of stability in stationary solution with discontinuity on a curve

A. Liubavinab, Mingkang Niab

a School of Mathematical Sciences, Key Laboratory of MEA (Ministry of Education), China
b Shanghai Key Laboratory of PMMP, East China Normal University, 200241, Shanghai, China
Abstract: This article is considering the stability property of the solution with inner layer for singularly perturbed stationary equation with Neumann boundary conditions. The right-hand side is assumed to have discontinuity on some arbitrary curve h(t). Stability analysis is performed by obtaining the first non-zero coefficient of the series for eigenvalue and eigenfunction from the Sturm–Liouville problem. Theory of the asymptotic approximations is used in order to construct them.
Key words: singular perturbed problems, stability, Sturm–Liouville problem.
Funding agency Grant number
National Natural Science Foundation of China 12371168
Science and Technology Commission of Shanghai Municipality 18dz2271000
The article was supported by the National Natural Science Foundation of China (no. 12371168) and in part by the Science and Technology Commission of Shanghai Municipality (no. 18dz2271000).
Received: 18.06.2023
Revised: 29.11.2023
Accepted: 18.07.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 6, Pages 1286–1294
DOI: https://doi.org/10.1134/S0965542524700519
Document Type: Article
Language: English
Citation: A. Liubavin, Mingkang Ni, “Application of asymptotic methods to the question of stability in stationary solution with discontinuity on a curve”, Comput. Math. Math. Phys., 64:6 (2024), 1286–1294
Citation in format AMSBIB
\Bibitem{LiuNi24}
\by A.~Liubavin, Mingkang~Ni
\paper Application of asymptotic methods to the question of stability in stationary solution with discontinuity on a curve
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 6
\pages 1286--1294
\mathnet{http://mi.mathnet.ru/zvmmf11778}
\crossref{https://doi.org/10.1134/S0965542524700519}
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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