|
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.
Received: 18.06.2023 Revised: 29.11.2023 Accepted: 18.07.2024
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
Linking options:
https://www.mathnet.ru/eng/zvmmf11778
|
Statistics & downloads: |
Abstract page: | 12 |
|